{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Matplotlib"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Matplotlib is a python 2D plotting library which produces publication quality figures in a variety of hardcopy formats and interactive environments across platforms. matplotlib can be used in python scripts, the python and ipython shell, web application servers, and six graphical user interface toolkits.\n",
    "\n",
    "Matplotlib tries to make easy things easy and hard things possible. You can generate plots, histograms, power spectra, bar charts, errorcharts, scatterplots, etc, with just a few lines of code.\n",
    "\n",
    "Library documentation: <a>http://matplotlib.org/</a>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# needed to display the graphs\n",
    "%matplotlib inline\n",
    "from pylab import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAYgAAAEgCAYAAACuDOSlAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAGq1JREFUeJzt3XuY1HXd//HnW4xIxNA7b8VDkdrxvuvGLM/JWupNaYaK\n",
       "p/KQpbfdWXqnHbz9pWJmmeYhq1vDQ0KkYqaokCWpo0Ki4OUptUQvNTyBhicUEuHz++M76ArDMuzu\n",
       "7Oc7M8/Hdc3F7OzM7tsR9rXvz+kbKSUkSVrWarkLkCSVkwEhSarJgJAk1WRASJJqMiAkSTUZEJKk\n",
       "mgwIqU4R8e6IeDkioovnLImITfqyLqlRDAipCxHxWER8CiCl9PeU0qBU3TwUEZWI+EreCqXGMSCk\n",
       "riVgRR2Du0zV0gwIaQUi4tfAu4Frq0NL364OIfWLiFOATwI/r37unBqvf3tE/CQiHo+IZyLi3IgY\n",
       "0Nf/HVJ3GRDSCqSUDgT+DuyWUhoE/PbNT6X/B9wKHFEddjqyxpc4FdgM+I/qnxsCJzS+cql3GBBS\n",
       "z9QcfqpOZB8GHJ1SeiGlNB/4EbBfXxYn9cTquQuQmtyK5iHWBdYA7uy06CnwlzI1EQNC6lpXE9Fd\n",
       "fe45YAHw4ZTS071bktQ3/G1G6tocYNNV/VxKaQlwPnB2RKwLEBEbRsQuDalSagADQuraj4DvRcQ8\n",
       "YC/e2jX8FBgVEfMi4uwar/0u8DAwPSJeBKYA7290wVJviUZdMCgiNgbGAf9K8Y9qTErpnIgYDRwK\n",
       "PFt96v+mlP7QkCIkSd3WyIBYH1g/pXR3RKwJ3AmMBPYBXk4pndmQbyxJ6hUNm6ROKT0DPFO9Pz8i\n",
       "HqRYBw4r3pkqSSqJPpmDiIihwObA9OpD34iIeyLiwogY3Bc1SJJWTcOGmN74BsXwUgX4QUppYkT8\n",
       "K2/OP5wMDEkpfWWZ13jGjSQ1WEqpy9GchnYQEfE24HfA+JTSxGpBc1MVcAGwZa3XppS8LXM78cQT\n",
       "s9dQtpvvie+J78kq3k49lbRlzR+7y2lYQFSPGrgQeCCldHanx4d0etoewH2NqkGS1MmUKfDTn8Lv\n",
       "flfX0xu5k3o74ADg3oi4q/rYccD+ETGMYunro8DhDaxBkgTw6KNw4IEwYQJstFFdL2nkKqap1O5Q\n",
       "rmvU92x1HR0duUsoHd+T5fmeLK/t35NXX4U99oDjjoPhw+t+WcMnqbsjIlIZ65KkppNS0TlEwLhx\n",
       "xZ9ARJBWMkntYX2S1MrOOQfuvx+mTXsjHOplByFJrapSgf32g+nTYejQt3yqng7Cw/okqRXNng1f\n",
       "+AKMH79cONTLgJCkVrNwIey1F/zP/8BOO3X7yzjEJEmtJCU49FB4+eViSesK5h2cpJakdvPLX8Lt\n",
       "txfzDqs4Kb0sOwhJahW33QYjRxYrljbbrMunOkktSe3i6adh773hootWGg71MiAkqdm99hqMGgWH\n",
       "Hw677tprX9YhJklqdkccAU88AVddBavV93u/k9SS1OouvhhuuKGYmK4zHOplByFJzWrmTPjsZ+Hm\n",
       "m+FDH1qllzpJLUmtau7cYjPceeetcjjUyw5CkprN66/DzjvDttvCKad060vU00EYEJLUbI45pjih\n",
       "dfJk6NevW1/CSWpJajWXXAITJ8KMGd0Oh3rZQUhSs7jnnuLwvRtugI9+tEdfyklqSWoV8+bBnnvC\n",
       "z37W43Colx2EJJXd4sXFDul//3f4yU965UvaQUhSKzj+eFi0CE49tU+/rZPUklRmV15ZTEzPmAGr\n",
       "9+2PbIeYJKmsHngAhg+HP/wBttiiV7+0Q0yS1KxefBH22ANOP73Xw6FedhCSVDZLlhQX/nn3u+Hn\n",
       "P2/It3CjnCQ1ox/8oFjWesUVWcswICSpTCZNgvPPLyal+/fPWooBIUllMWsWfPnLcPXVsP76uatx\n",
       "klqSSmH+/GLe4eSTYZttclcDOEktSfmlBPvsA+98ZzG8FF3OHfcKJ6klqRmcdhr8/e/FleH6IBzq\n",
       "ZUBIUk5TpsBPfwp33AEDBuSu5i0MCEnK5dFH4cADYcIE2Gij3NUsx0lqScrh1VeL47uPO644TqOE\n",
       "nKSWpL6WUtE5RMC4cVnmHZyklqQyOuec4prS06aValJ6WXYQktSXbr4Z9t0Xpk+HoUOzlZH1NNeI\n",
       "2DgiboqI+yPiLxFxZPXxdSJiSkQ8FBHXR8TgRtUgSaUyezbsvz+MH581HOrVsA4iItYH1k8p3R0R\n",
       "awJ3AiOBQ4DnUkqnRcR3gbVTSscu81o7CEmtZeFC2GEHGDUKvvOd3NXU1UH02RBTREwEfl69DU8p\n",
       "zamGSCWl9MFlnmtASGodKcFhh8FLLxVLWksw71CaSeqIGApsDtwOrJdSmlP91Bxgvb6oQZKyGTOm\n",
       "mHOYPr0U4VCvhgdEdXjpd8BRKaWXo9Obk1JKEVGzVRg9evQb9zs6Oujo6GhsoZLUCLfdBiecUKxY\n",
       "WnPNbGVUKhUqlcoqvaahQ0wR8TZgEnBdSuns6mN/BTpSSs9ExBDgJoeYJLWkp5+GT3wCfvlL2HXX\n",
       "3NW8Re5VTAFcCDywNByqrgEOrt4/GJjYqBokKZsFC4oJ6cMPL1041KuRq5i2B24B7gWWfpP/Be4A\n",
       "LgfeDTwG7JNSemGZ19pBSGpeixcX4bDGGvDrX8Nq5TvVqFSrmFaFASGpaaUE//3f8MgjMHly9suG\n",
       "rkhpVjFJUts4+eTietKVSmnDoV4GhCT1ljFjisP3pk2DQYNyV9NjDjFJUm+4+upiaOmWW2CzzXJX\n",
       "s1IOMUlSX5g2rdgp/fvfN0U41Kt8U+uS1Ezuv7+48M/48fDxj+euplcZEJLUXU88AZ/9LJx5Juyy\n",
       "S+5qep0BIUnd8fzzMGIEHHkkfPGLuatpCCepJWlVLVhQdAxbbglnnJG7mm5xo5wk9bbXX4e99y71\n",
       "Lul6uIpJknpTSnDEETB/fnFdhyYNh3oZEJJUr5NPhpkzW2KXdD0MCEmqR4vtkq6HcxCStDJNtku6\n",
       "Hs5BSFJPtegu6Xq09gyLJPVEC++SrocBIUm1tPgu6XoYEJK0rDbYJV0PJ6klqbMW2CVdD3dSS9Kq\n",
       "aJFd0vVwFZMk1avNdknXw4CQJIDvf7+tdknXw4CQpDFjiiGlNtolXQ/nICS1txbcJV0P5yAkqStt\n",
       "vEu6Hs7CSGpPbb5Luh4GhKT2M3s2fOYzbb1Luh4GhKT2snSX9FFHtfUu6Xo4SS2pfbTJLul6uJNa\n",
       "kpZqo13S9XAVkySBu6S7yYCQ1PrcJd0tBoSk1uYu6W5zDkJS65o4Eb72tbbbJV0P5yAkta+pU+G/\n",
       "/std0j3gTI2k1nP//bDXXu6S7iEDQlJrcZd0rzEgJLUOd0n3qoYGRERcFBFzIuK+To+NjognIuKu\n",
       "6m1EI2uQ1CYWLIDddy8C4phjclfTEhq6iikiPgnMB8allD5SfexE4OWU0pldvM5VTJLq9/rrMGoU\n",
       "DBzoLuk6ZV/FlFK6NSKG1vhUl0VJUt2W7pJ+5RW4/HLDoRfleie/ERH3RMSFETE4Uw2Sml1KxXDS\n",
       "nXfClVe6S7qX5QiIc4H3AsOAp4H2PlJRUvcsWVJsgps2DaZMcZd0A/T5RrmU0tyl9yPiAuDaWs8b\n",
       "PXr0G/c7Ojro6OhodGmSmsXixXDoofDww0U4rLVW7opKr1KpUKlUVuk1DT9qozoHcW2nSeohKaWn\n",
       "q/e/CXwipfSFZV7jJLWk2hYtggMPhOeeg6uvLiamtcqyT1JHxKXAcOBdETEbOBHoiIhhQAIeBQ5v\n",
       "ZA2SWsg//wn77VeExKRJMGBA7opamof1SWoOCxbAnnsWHcMllzgh3UP1dBCuB5NUfvPnw667wjrr\n",
       "wGWXGQ59xICQVG4vvgj/+Z+wySYwbhys7iHUfcWAkFRe8+bBTjvB5psXF/7p1y93RW3FgJBUTnPn\n",
       "wo47QkcH/Oxn7pDOwHdcUvk89RQMHw4jR8Jpp0F4Ok8OBoSkcnn8cdhhBzj4YDjpJMMhI2d7JJXH\n",
       "ww8Xcw5HHw1HHpm7mrZnByGpHB58sJhzOO44w6Ek7CAk5XfPPcVlQn/84+IYDZWCASEpr5kzYbfd\n",
       "ipVKe++duxp1YkBIymfaNNhjD7jgguJyoSoVA0JSHjfeCPvuC7/5DeyyS+5qVIMBIanv/eEPcNBB\n",
       "cMUVxX4HlZKrmCT1rYkTiz0OV19tOJScASGp70yYAF/9Klx3HWyzTe5qtBIGhKS+cfHF8M1vwp/+\n",
       "BB/7WO5qVAfnICQ13rnnwg9/CDfdBB/4QO5qVKeVdhARcWRErN0XxUhqQWedVRy4d/PNhkOTqWeI\n",
       "aT1gRkRcHhEjIjw5S1KdTjml6B5uuaW44I+aSl3XpI6I1YBdgC8BHwcuBy5MKT3SkKK8JrXU3FKC\n",
       "44+Hq64q5hyGDMldkZbRa9ekTiktAZ4B5gCLgbWBKyLi9B5XKam1pATf+hZMngyViuHQxFbaQUTE\n",
       "UcBBwD+AC4CrUkqLql3FrJTSpr1elB2E1JyWLIGvfx3uvLPYDLe205dlVU8HUc8qpnWAPVNKj3d+\n",
       "MKW0JCI+15MCJbWQxYvh0EOLazpMmQJrrZW7IvVQXXMQfc0OQmoyixYVR2c8+2yxQ3rgwNwVaSV6\n",
       "q4OQpBX75z9h//3htddg0iQYMCB3Reol7qSW1H0LFhTHda+2Glx5peHQYgwISd0zfz7sumsxEX3Z\n",
       "ZdC/f+6K1MsMCEmr7sUXYcSIYvPbuHGwuqPVrciAkLRq5s2DnXaCYcNgzBjo1y93RWoQA0JS/ebO\n",
       "hR13hI6O4hrSq/kjpJX5f1dSfZ56qgiGkSOLw/c8lq3lGRCSVu7uu2HbbYu9DiedZDi0CWeWJHXt\n",
       "8svhiCPg//4P9t47dzXqQwaEpNqWLIETToDx44ujM4YNy12R+pgBIWl5L70EBxxQLGedMQPWXTd3\n",
       "RcrAOQhJbzVrFmy9NWy4YdE5GA5ty4CQ9Kbrr4ftt4cjjyyuBOfu6LbW0ICIiIsiYk5E3NfpsXUi\n",
       "YkpEPBQR10fE4EbWIKkOKRXXjv7Sl+CKK+CrX81dkUqg0R3Er4ARyzx2LDAlpfR+4Ibqx5JyWbiw\n",
       "CIZx4+C22+CTn8xdkUqioQGRUroVeH6Zh3cHxlbvjwVGNrIGSV146ikYPrwIialT4T3vyV2RSiTH\n",
       "HMR6KaU51ftzgPUy1CDp9tthyy3h858vTmP1Ij9aRtZlrimlFBFeOk7qa2PHwre/DRdeCJ/zysGq\n",
       "LUdAzImI9VNKz0TEEGBurSeNHj36jfsdHR10dHT0TXVSK3v9dfjOd+Daa6FSgQ9/OHdF6iOVSoVK\n",
       "pbJKr2n4NakjYihwbUrpI9WPTwP+kVL6cUQcCwxOKR27zGu8JrXU2+bNg/32K85Ruuyy4kI/alv1\n",
       "XJO60ctcLwX+DHwgImZHxCHAqcDOEfEQ8Knqx5Ia6f77i/mGj3wEJk82HFSXhncQ3WEHIfWia66B\n",
       "r3wFzjijOI1Vor4OwrOYpFaVEvzwh8WO6EmTYKutclekJmNASK3olVfgkEPg8cfhjjtggw1yV6Qm\n",
       "5FlMUqt5/HHYbjtYYw24+WbDQd1mQEit5JZbipNYv/Ql+NWvYMCA3BWpiTnEJLWK886DE08sLvCz\n",
       "8865q1ELMCCkZvfaa8Xx3LfcAtOmwWab5a5ILcKAkJrZ3LkwahQMHgzTp8Naa+WuSC3EOQipWd11\n",
       "V7H5bYcdYOJEw0G9zg5CakYTJsDXvw6/+AXss0/uatSiDAipmSxZAscfD7/5TXG96GHDclekFmZA\n",
       "SM3ipZfgi18s/pwxA9ZdN3dFanHOQUjNYNasYn/DRhsVnYPhoD5gQEhld/31sP32xVLWc8+F/v1z\n",
       "V6Q24RCTVFYpwVlnwemnw29/W6xWkvqQASGV0cKFcPjhcO+9xf6G97wnd0VqQw4xSWXz5JNFt7Bw\n",
       "IUydajgoGwNCKpPrris2v40cWVwWdODA3BWpjTnEJJXBCy/A0UfDTTfBuHHw6U/nrkiyg5Cyu+66\n",
       "4lrRb397MedgOKgk7CCkXDp3DRdfbDCodOwgpBzsGtQE7CCkvmTXoCZiByH1FbsGNRk7CKnR7BrU\n",
       "pOwgpEaya1ATs4OQGuGFF+CYY+DGG+0a1LTsIKTetrRr6N/frkFNzQ5C6i12DWoxdhBSb7BrUAuy\n",
       "g5B6wq5BLcwOQuouuwa1ODsIaVXZNahN2EFIq8KuQW3EDkKqh12D2pAdhLQydg1qU3YQ0orYNajN\n",
       "2UFItdg1SHYQ0lvYNUhvyNZBRMRjEXFvRNwVEXfkqkN6g12D9BY5O4gEdKSU5mWsQbJrkFYg9xxE\n",
       "ZP7+and2DdIK5e4g/hQRi4FfppTOz1iL2o1dg7RSOQNiu5TS0xGxLjAlIv6aUrp16SdHjx79xhM7\n",
       "Ojro6Ojo+wrVel55Bc45B848E/beu+gaBg3KXZXUcJVKhUqlskqviZRSY6pZlSIiTgTmp5TOqH6c\n",
       "ylCXWsjChXDeeXDqqdDRASedBB/4QO6qpGwigpRSl8P8WeYgImKNiBhUvT8Q2AW4L0ctanGLFsGY\n",
       "MfC+9xXDSX/8I1x2meEg1SHXENN6wFURsbSG36SUrs9Ui1rR4sVwySUwejRssglccQVstVXuqqSm\n",
       "UoohpmU5xKRuW7IErroKTjgBBg+GU04phpQkvUU9Q0zupFZrSKlYsvq970EE/OQnMGJEcV9StxgQ\n",
       "an6VShEMzz8P3/8+7LmnwSD1AgNCzev224tgePTRYq5h//2hX7/cVUktI/dOamnV3XMP7L57sY9h\n",
       "n33gwQfhgAMMB6mXGRBqHn/7G+y7bzG38OlPw0MPwWGHwdvelrsyqSUZECq/xx6DQw6B7beHzTeH\n",
       "hx+Go46CAQNyVya1NANC5fXUU/C1r8EWW8DGG8OsWXDssTBwYO7KpLZgQKh8nn0WvvWt4pTVgQPh\n",
       "r38tVicNHpy7MqmtGBAqjxdegOOPhw9+EBYsgPvug9NPh3XXzV2Z1JYMCOX3yivwox8V5yU9+STc\n",
       "eSf84hewwQa5K5PamgGhfBYuhLPPhk03LZauTp0KF10EQ4fmrkwSbpRTDosWwa9+BSefDB/7GFx/\n",
       "PXz0o7mrkrQMA0J9p/MJq5tu6gmrUskZEGq8ziesrr12MYw0fHjuqiSthAGhxlm8GH7/ezjxRE9Y\n",
       "lZqQAaHe95e/wLhxMH58scHte9+DPfYwGKQmY0Codzz7LFx6KYwdC3PmwIEHwg03wIc+lLsySd3k\n",
       "FeXUfa+9BpMnF6FQqcBuu8HBB8OnPuXJqlLJ1XNFOQNCqyYlmDmzCIUJE+Df/q0IhVGjYNCg3NVJ\n",
       "qpOXHFXvefLJYk5h7NiiczjoILjjDnjve3NXJqlBDAit2KuvFstTx44tuoZRo+D882HbbZ1wltqA\n",
       "AaG3WrKkOPJi7Fi48krYemv48pfh6qvhHe/IXZ2kPmRAqPDII8XS1F//ujhi++CD4YEHYMiQ3JVJ\n",
       "ysSAaGcvvgiXX14Ew0MPwf77F8dfbL65Q0iSXMXUdhYvhilTiiGk664rru188MHwmc94bWepjbjM\n",
       "VW9adnfzQQfBfvvBv/xL7sokZeAy13bn7mZJPWAH0Wpeew0mTSpC4eab4XOfK7oFdzdL6sQOol2s\n",
       "aHfz+PHubpbUbQZEM3r55WIX8223wfTpxW2ddeCAA9zdLKnXOMRUdinBrFlFGCy9PfIIDBtWbGLb\n",
       "ZpvitsEGuSuV1ERcxdSManUHAwe+GQTbbFOEQ//+uSuV1MQMiLKr1R08/HARAJ0Dwe5AUi8zIMrm\n",
       "5Zdhxow3w8DuQFImBkROdgeSSsyA6Et2B5KaiAHRKHYHkppcaQMiIkYAZwP9gAtSSj9e5vP5AmLx\n",
       "Ynj+efjHP5a/Pfcc3Hdftu6gUqnQ0dHR0O/RbHxPlud7sjzfk+WVcid1RPQDfg7sBDwJzIiIa1JK\n",
       "D/bqN0qpuCJa5x/w8+bV/sHf+fbSS/DOdxaH2NW6HXIIjBmTpTvwL/nyfE+W53uyPN+T7smxk3pL\n",
       "4OGU0mMAEXEZ8HlgxQHR1W/1Xd0iVvyDfuONi9/6l3188GDPLJIk8gTEhsDsTh8/AWy13LO23nrl\n",
       "v9Wvs86bP+xrhcAaa/TVf5MktZw+n4OIiL2AESmlw6ofHwBslVL6RqfnlHiGWpJaQ+nmICjmHTbu\n",
       "9PHGFF3EG1ZWtCSp8VbL8D1nAu+LiKER0R/YF7gmQx2SpC70eQeRUno9Ir4O/JFimeuFvb6CSZLU\n",
       "Y6XcKCdJyi/HEFOXImJERPw1ImZFxHdz15NbRFwUEXMi4r7ctZRFRGwcETdFxP0R8ZeIODJ3TblF\n",
       "xICIuD0i7o6IByLiR7lrKouI6BcRd0XEtblrKYuIeCwi7q2+L3es8Hll6iCqm+j+RqdNdMD+7TwE\n",
       "FRGfBOYD41JKH8ldTxlExPrA+imluyNiTeBOYGQ7/z0BiIg1UkqvRsTqwFTgWymlqbnryi0ijga2\n",
       "AAallHbPXU8ZRMSjwBYppXldPa9sHcQbm+hSSouApZvo2lZK6Vbg+dx1lElK6ZmU0t3V+/MpNlm2\n",
       "/cFXKaVXq3f7U8zvdfmPvx1ExEbAZ4ELAFdHvtVK34+yBUStTXQbZqpFTSAihgKbA7fnrSS/iFgt\n",
       "Iu4G5gA3pZQeyF1TCZwFfBtYkruQkknAnyJiZkQctqInlS0gyjPepdKrDi9dARxV7STaWkppSUpp\n",
       "GLARsENEdGQuKauI2A2Ym1K6C7uHZW2XUtoc+AxwRHUoezllC4iVbqKTACLibcDvgPEppYm56ymT\n",
       "lNKLwGTg47lryWxbYPfqePulwKciYlzmmkohpfR09c9ngasohveXU7aAcBOdVioiArgQeCCldHbu\n",
       "esogIt4VEYOr998B7AzclbeqvFJKx6WUNk4pvRfYD7gxpXRQ7rpyi4g1ImJQ9f5AYBeg5irJUgVE\n",
       "Sul1YOkmugeACa5MiUuBPwPvj4jZEXFI7ppKYDvgAGDH6jK9u6rXGGlnQ4Abq3MQtwPXppRuyFxT\n",
       "2TiEXVgPuLXT35VJKaXraz2xVMtcJUnlUaoOQpJUHgaEJKkmA0KSVJMBIUmqyYCQJNVkQEiSajIg\n",
       "JEk1GRCSpJoMCKkHIuITEXFPRLw9IgZWL2D04dx1Sb3BndRSD0XEycAA4B3A7JTSjzOXJPUKA0Lq\n",
       "oerJsjOBBcA2yX9UahEOMUk99y5gILAmRRchtQQ7CKmHIuIa4BJgE2BISukbmUuSesXquQuQmllE\n",
       "HAT8M6V0WUSsBvw5IjpSSpXMpUk9ZgchSarJOQhJUk0GhCSpJgNCklSTASFJqsmAkCTVZEBIkmoy\n",
       "ICRJNf1/RgQJXZf5eKAAAAAASUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0xa395be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = linspace(0, 5, 10)\n",
    "y = x ** 2\n",
    "\n",
    "fig = plt.figure()\n",
    "\n",
    "# left, bottom, width, height (range 0 to 1)\n",
    "axes = fig.add_axes([0.1, 0.1, 0.8, 0.8])\n",
    "\n",
    "axes.plot(x, y, 'r')\n",
    "\n",
    "axes.set_xlabel('x')\n",
    "axes.set_ylabel('y')\n",
    "axes.set_title('title');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAYgAAAEgCAYAAACuDOSlAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xd4VGXax/HvQ5HOAgohCog0aSIIiihIlCIqIEhfaYqN\n",
       "V9e2urqgEmVXRFdXcFXKgoKslEVFuiAamvQNioCCCEgHpSV0kuf944RIScgQZuY5k/l9rmsuJjNn\n",
       "Zm7ONTP33E811lpERETOlst1ACIi4k9KECIikiElCBERyZAShIiIZEgJQkREMqQEISIiGVKCEAmQ\n",
       "MaacMSbJGGPOc0yqMaZCOOMSCRUlCJHzMMZsMsbcBmCt/cVaW8SmTR4yxiQYY3q5jVAkdJQgRM7P\n",
       "AplVDJplKjmaEoRIJowxHwHlgClpTUvPpjUh5TbG/B1oBPwr7b7BGTw+nzHmH8aYzcaYncaY940x\n",
       "+cP9/xDJLiUIkUxYa7sBvwAtrbVFgP/+fpftC8wHHk1rdno8g6d4DagEXJv27xXAS6GPXCQ4lCBE\n",
       "Lk6GzU9pHdkPAk9ba/dba5OBAUDncAYncjHyuA5AJMJl1g9REigIrDht0JNBP8okgihBiJzf+Tqi\n",
       "z3ffr8ARoLq1dkdwQxIJD/2aETm/XUDFC73PWpsKDAfeNsaUBDDGXGGMaR6SKEVCQAlC5PwGAC8Y\n",
       "Y/YC7TizahgEtDfG7DXGvJ3BY58DfgIWG2MOALOBKqEOWCRYTKg2DDLGlAVGA6XwPlTDrLWDjTHx\n",
       "wAPAnrRD/2qtnRmSIEREJNtCmSBKA6WttSuNMYWBFUAboCOQZK19KyQvLCIiQRGyTmpr7U5gZ9r1\n",
       "ZGPMWrxx4JD5zFQREfGJsPRBGGPKA3WAxWk3/ckY860xZoQxplg4YhARkQsTsiam9BfwmpcSgL9Z\n",
       "aycZY0rxe/9DfyDWWtvrrMdojRsRkRCz1p63NSekFYQxJi/wCTDGWjspLaDdNg3wb+CGjB5rrdXl\n",
       "rEu/fv2cx+C3i86JzonOyQVeXnsNe0OGX7vnCFmCSFtqYASwxlr79mm3x552WFtgVahiEBGR08ye\n",
       "DYMGwSefBHR4KGdS3wx0Bb4zxiSm3dYH6GKMqY039HUj8HAIYxAREYCNG6FbNxg/HsqUCeghoRzF\n",
       "tICMK5QZoXrNnC4uLs51CL6jc3IunZNzRf05OXwY2raFPn2gceOAHxbyTursMMZYP8YlIhJxrPUq\n",
       "B2Ng9GjvX8AYg82ik1qL9YmI5GSDB8Pq1bBwYXpyCJQqCBGRnCohATp3hsWLoXz5M+4KpILQYn0i\n",
       "IjnRli3wxz/CmDHnJIdAKUGIiOQ0R49Cu3bw5JPQtGm2n0ZNTCIiOYm18MADkJTkDWnNpN9BndQi\n",
       "ItFm6FBYssTrd7jATumzqYIQEckpFi2CNm28EUuVKp33UHVSi4hEix07oEMHGDkyy+QQKCUIEZFI\n",
       "d/w4tG8PDz8Md90VtKdVgpAs1axZk3nz5rkOIyB33nknH330Uab39+zZkxdffDGMEYmEwVNPwWWX\n",
       "Qd++QX1adVJLlr7//vuwv+amTZuoUKECJ0+eJFeujH/HxMfHs2HDhjMSwvTp09Ovf/jhh4wYMYL5\n",
       "8+en32aMwVxkx52Ir3z4IcyZ43VMZ/JZyS4lCPGdkydPpl8PxWAFDYCQHGP5cvjLX2DuXPjDH4L+\n",
       "9GpikiyVL1+er776CvB+tXfs2JEePXpQtGhRatasyYoVK9KPHThwIGXKlKFo0aJUrVo1/XHWWl57\n",
       "7TUqVarEZZddRqdOndi3bx/gVQu5cuVi5MiRXHnllTRp0oTGaStOFitWjCJFirBkyZIzYpo5cyYD\n",
       "Bgxg/PjxFClShDp16gDeqp0jRozghx9+4JFHHmHRokUUKVKEEiVKpMdxuqlTp1K7dm2KFy/OzTff\n",
       "zKpV2p5EIsTu3d5kuCFDoFq1kLyEEoRk6ewmmSlTptClSxcOHDhA69ateeyxxwD48ccfeffdd1m+\n",
       "fDkHDx5k1qxZlE+b4j948GAmT57MvHnz2LFjB8WLF+fRRx8943nnzZvHDz/8wKxZs9L7PA4cOEBS\n",
       "UhL169c/49gWLVrQp08fOnfuTFJSEomJiemxGmOoWrUqQ4cOpUGDBiQlJbF3795z/i+JiYn06tWL\n",
       "4cOHs3fvXh5++GFat27N8ePHg3fyRELh5Eno1Am6doV77gnZyyhByAVr1KgRLVq0wBhD165d+fbb\n",
       "bwHInTs3x44dY/Xq1Zw4cYJy5cpRoUIFAIYOHcrf/vY3Lr/8cvLmzUu/fv2YOHEiqamp6c8bHx9P\n",
       "gQIFyJcvX0DNQKe2UDzf/Rk5lSSGDRvGww8/zPXXX48xhu7du5MvXz4WL14c8LkQceK55yBfPnjl\n",
       "lZC+jBKEXLCYmJj06wULFuTo0aOkpqZSqVIl3n77beLj44mJiaFLly7s2LED8JqR2rZtS/HixSle\n",
       "vDjVq1cnT5487Nq1K/25ypYtG9b/x+bNm3nzzTfTYypevDhbt25Nj1nElz7+GCZN8v7NnTukL6UE\n",
       "IUHVpUsX5s+fz+bNmzHG8NxzzwFQrlw5Zs6cyb59+9Ivhw8fJjb29y3KT2/+CWSkUWajmwJ9jnLl\n",
       "ytG3b98zYkpOTqZTp05ZvraIE99+C088AZ99Bmn9aqGkBCFBs27dOr766iuOHTtGvnz5yJ8/P7nT\n",
       "fuE88sgj9OnTh19++QWAPXv2MHny5Eyfq2TJkuTKlYsNGzZkekxMTAybNm3KtCkpJiaGrVu3cuLE\n",
       "ifTbTm+WevDBBxkyZAhLly7FWsuhQ4eYNm0aycnJF/x/Fwm5vXu9/oZ33oFatcLykkoQckEymkdw\n",
       "6u9jx47x17/+lZIlSxIbG8uvv/7KgAEDAHjiiSdo3bo1zZs3p2jRojRo0IClS5ee8xynFCxYkL59\n",
       "+3LzzTdTvHjxM449pUOHDgBceuml1KtX75z7mzRpQo0aNShdujSlSpU6J/66desyfPhwHnvsMUqU\n",
       "KEHlypUZPXp0dk+NSOikpHh7O7Rt620AFCZarC8A5cuXp2jRouTOnZu8efNm+GUlIhIyffp4E+G+\n",
       "+ALyBGf6mpb7DhJjDAkJCelj6UVEwubTT70O6WXLgpYcAqUEESA/VTQiEiXWrPEW4Js5E0qWDPvL\n",
       "qw8iAMYYmjZtSr169Rg+fLjrcEQkGhw44PU5vPEG1K3rJARVEAFYuHAhsbGx7Nmzh2bNmlG1alUa\n",
       "NWqUfr8Wf5NIo4rY51JToVs3aNYMevZ0FoYqiACcGqtfsmRJ2rZtm2En9anhky4v/fr1cx6D32Lx\n",
       "SxzhiuVEygkWb1nM3+b+jbgP4yj8amEajmxI/NfxLNi8gOMntYxIRPjb37xhrW+95TQMVRBZOHz4\n",
       "MCkpKRQpUoRDhw4xa9Ys+vXr5zosEcD7YfLjbz/y5c9f8uXPXzJ381zKFi1L0wpNefamZ2lUrhFF\n",
       "8hVxHaZciKlTYfhwr1P6kkuchqIEkYVdu3bRtm1bwFuG+t5776V58+aOo5Jotj1pO3N+nsOXG79k\n",
       "zs9zyGVy0axCMzrV6MTQlkOJKRyT9ZOIP61fD/ffD59/DqVLu45GCSIrV111FStXrnQdRkDi4uJc\n",
       "h5DOL7H4JQ7IfiwHjh5g7ua56UlhR9IObrvqNppWaMoLjV6gUolK6gfLCZKToU0b6N8fGjRwHQ2g\n",
       "iXJBkTbhxHUYkkMcO3mMxVsXM2fjHL78+UtW7V7FjWVupMlVTWhaoSl1Stchd67sL9Km96sPWQsd\n",
       "O3qb/gwfDmFI+JooJxIBUm0qq3at8voRNn7Jwl8WUvWyqjS5qgn9b+3PTWVvokDeAq7DlFB6/XX4\n",
       "5RdvZzgfVYOqIIJAv8jkQm3avym9Y3nOxjmUKFAivUKIKx9HiQKhm7Wv96vPzJ4NPXrA0qVQpkzY\n",
       "XjaQCkIJIgj0gZOs/Hr4V77e+HV6lZB8PJmmFZrS9KqmNKnQhHJ/KBe2WPR+9ZGNG73+hvHjIW2b\n",
       "3XBRgggTfeDkbKk2laXbljLlxynM3DCTn/b+RKNyjbykUKEpNUrWcNaxrPerTxw+DDffDPfdB48/\n",
       "HvaXV4IIE33gBCD5eDKzNsxiyropTF8/nZIFS9KqSivuqnIX9a+oT97ceV2HCOj96gvWejOljYHR\n",
       "o530O6iTWiTENu/fzNR1U5mybgrfbPmGG8vcSKsqrXjplpe4qvhVrsMTvxo8GFavhoULfdUpfTZV\n",
       "EEGgX2TR4/SmoynrprAzeSd3Vr6TllVa0rxic4rmK+o6xCzp/erY3LnQqRMsXgzlyzsLw2kTkzGm\n",
       "LDAaKAVYYJi1drAxpgQwHrgS2AR0tNbuP+uxvkoQKSkp1KtXjzJlyjBlypRz7tcHLmc7u+moVKFS\n",
       "tKzcklZXt6L+FfUvak6CC3q/OrRlC9Sv7zUrNW3qNBTXCaI0UNpau9IYUxhYAbQB7gN+tda+box5\n",
       "DihurX3+rMf6KkG89dZbrFixgqSkpAz3UdYHLufJrOmoZZWWEd90pPerI0ePwi23QPv28Je/uI7G\n",
       "bR+EtXYnsDPterIxZi1wBdAaODWeaxSQADyf0XP4wdatW5k+fTp9+/blLccrK0roZNZ09OB1DzKh\n",
       "w4SIaDoSH7MWHnvMa1J69lnX0QQsLJ3UxpjyQB1gCRBjrd2VdtcuwNcriz311FO88cYbHDx40HUo\n",
       "EmSnmo6mrpvKtPXTKFWoFK2qtGJIyyER2XQkPjZsmNfnsHixrzulzxbyBJHWvPQJ8IS1Nun0sd/W\n",
       "WmuMybDWjY+PT78eFxfnZNG1qVOnUqpUKerUqUNCQsJ5j/VDvJK1zJqOXrzlxYhvOspMQkJClu9f\n",
       "CaFFi+Cll7wRS4ULOwsjO++DkI5iMsbkBaYCM6y1b6fd9gMQZ63daYyJBb621lY963G+6IPo06cP\n",
       "H330EXny5OHo0aMcPHiQdu3aMXr06DOOU5uuf2XWdNSqSiuaV2welXsl6P0aRjt2wPXXw9ChcNdd\n",
       "rqM5g+tOaoPXx/Cbtfap025/Pe22gcaY54Fifu+kBpg7dy7/+Mc/NIopAlhrWbFjBeO+H8f41eP5\n",
       "Q74/0Prq1rSs0lJNR+j9GjZHjngjlVq0gBdfdB3NOVxPlLsZ6Ap8Z4xJTLvtr8BrwARjTC/ShrmG\n",
       "MIag0pr7/rZmzxrGrhrLuNXjAOhSswtfdP2C6iWrO45Mok5KCvzxj16ndN++rqPJNk2UCwL9InNn\n",
       "476NjPt+HONWj2Pvkb10qtGJzjU7Uze2rhJ6JvR+DTFroXdv2LABpk1zvm1oZlxXECIhsSNpBxNW\n",
       "T2Ds92P5ed/PtK/ennfueIeG5RqSy+RyHZ5Eu/79vf2kExJ8mxwCpQQhEeG3w7/x6dpPGfv9WBJ3\n",
       "JnL31XfzctzL3HbVbb5ZBE+EYcO8WdILF0KRyB8AoSamIFDJHhpJx5KY/ONkxn4/lvm/zOf2irfT\n",
       "pWYX7qh8B/nz5HcdXsTS+zVEPv/ca1qaNw8qVXIdTZa03HeY6AMXPEdPHmX6+umM+34cX2z4gkbl\n",
       "GtGlZhdaX906KoekhoLeryGwcCG0bQvTp0O9eq6jCYgSRJjoA3dxTqScYM7GOYz9fiyTf5xMndJ1\n",
       "6FKzC+2qtwvp1pvRSu/XIFu9Gm67DT76CJo3dx1NwJQgwkQfuAuXalNZ8MsCxq4ayydrP6FC8Qp0\n",
       "qdmFjjU6Elsk1nV4OZrer0G0dau3K9yrr8K997qO5oJoFJP4zto9axmROIJx34/j0oKX0rlGZ5Y8\n",
       "sCTHLnMhOdi+fd4kuMcfj7jkEChVEEGgX2TndzzlOJ+t/YwhK4awds9a7q9zP11rddUENkf0fg2C\n",
       "I0e85qQbboA333QdTbaoiSlM9IHL2Ob9mxm2YhgjV46k6mVV6V2vN22qtuGS3JE9NjzS6f16kU6e\n",
       "hA4doGBBr98hV2TOvVETUxAcPXqUxo0bc+zYMY4fP87dd9/NgAEDXIflWympKcz8aSbvL3+fRVsX\n",
       "0a1WN77q/hXVSlZzHZrIxbMWHn0UkpNh/PiITQ6BUoLIQv78+fn6668pWLAgJ0+epGHDhixYsICG\n",
       "DRu6Ds1XdiXvYmTiSIauGErJQiXpXa83EzpMoGDegq5DEwme/v1h+fIcMUs6EEoQAShY0PuSO378\n",
       "OCkpKZQooaGX4K2aOm/zPN5f/j5fbPiCdtXaMbHjROpdHhnjwEUuSA6bJR0IJYgApKamct1117Fh\n",
       "wwZ69+5N9erR3bm6/+h+Rn87miHLhwDQu15vhrQcQrH8xRxHJhIin38O8fHeLOkYX2+CGVRKEAHI\n",
       "lSsXK1eu5MCBA9x+++0kJCScs2NcNOwot3z7coYsH8Inaz/h9oq38/5d73PLlbdo1VSf045yF2nh\n",
       "QnjwQW+WdAQsoRFMGsV0gfr370+BAgV45pln0m/LyaNCDp84zLjvx/H+8vfZc2gPD9d9mPvr3E9M\n",
       "4ej5FZXT5OT3a9BF6CzpQGgUUxD8+uuv5MmTh2LFinHkyBFmz55Nv379XIcVcmv3rGXoiqGM+W4M\n",
       "Dco24OW4l7m94u1RvxubRJGtW+HOO+Gtt3JccgiUEkQWduzYQY8ePUhNTSU1NZVu3brRpEkT12GF\n",
       "zKIti3h57sus3LmSXnV6seKhFVxZ7ErXYYmEVxTMkg6EmpiCICeU7KcSw9pf19K3UV961u6pCW05\n",
       "VE54v4ZUDpglHQjNpA6TSP7AKTFEn0h+v4ZcDpklHQj1QUimlBhEzhJls6QDERVnYM2aNefcFq3D\n",
       "/hZtWUSLMS3o/Eln7ql2D+v/tJ6H6j6k5CDyyiveLOlPP42KWdKBiIoE0bFjRwYOHIi1lsOHD/On\n",
       "P/2J559/3nVYYaXEIHIew4Z5TUrTp0fNLOlAREWCWLJkCVu2bKFBgwbccMMNxMbG8s0337gOKyyU\n",
       "GESycGqW9MyZUTVLOhBR0QeRJ08eChQowJEjRzh69CgVKlQgVw5vX1Qfg0gAoniWdCBy9rdkmhtu\n",
       "uIH8+fOzfPly5s+fz8cff0yHDh1chxUSqhhEArR6NdxzD4wZA/W0wGRGomKY67Jly7j++uvPuG30\n",
       "6NF07949KM/vh2GDy7Yt48WvX1TFIFnyw/vVuS1bvL2kBwyI2olwmgcRBFu2bKF79+7s3r0bYwwP\n",
       "PfQQjz/++BnHuPzAJR1Los+cPkxcO5H4xvHcV+c+JQY5r6hPEPv2QcOGcP/98Oc/u47GGSWIINi5\n",
       "cyc7d+6kdu3aJCcnU7duXSZNmkS1ar/vkObqAzd9/XR6T+vNbVfdxpvN36REAe1TIVmL6gQRJbOk\n",
       "A6GJckFQunRpSpcuDUDhwoWpVq0a27dvPyNBhNueQ3t48osnWbRlESNaj6BphabOYhGJGCdPwh//\n",
       "COXKwRtvuI4mIkRFJ3WwbNq0icTEROrXr+/k9a21jPluDDXfr0ls4VhW9V6l5CASiNNnSX/wgWZJ\n",
       "B0gVRICSk5Np3749gwYNonDhwufcH+oNgzbv38wj0x5he9J2pnaZyvVXXJ/1g0TQhkHA77Oko2Qv\n",
       "6WBRH0QATpw4QcuWLbnjjjt48sknz7k/lG26KakpvLvsXV6Z+wpPN3iaZ296lry584bktSQ6RF0f\n",
       "xLBh8Prr3pwHTYRLp07qILDW0qNHDy699FL++c9/ZnhMqD5wq3evptfkXlyS+xKGtxrO1ZddHfTX\n",
       "kOgTVQli0iT4v//z9pLWRLgzKEEEwYIFC7jllluoVatW+t7LAwYMoEWLFunHBPsDd+zkMV6d/yrv\n",
       "LX+P/rf256G6D5HLqM1UgiNqEsSCBd5EuOnTNREuA0oQYRLMD9w3W77hgckPUPnSyrx353tcUfSK\n",
       "oDyvyClRkSBy8F7SwaJhrhEk1aby1y//ykfffcSgFoNoX719esUiIhdgyxa4446o3ks6WJQgfODY\n",
       "yWP0mNSD7UnbWdV7FZcWvNR1SCKR6dRe0k88EbVLaARTSBu2jTEjjTG7jDGrTrst3hiz1RiTmHZp\n",
       "cb7nyOkOHjvInR/fyfGU43zR9QslB5HsOnIEWrf2EkQUL6ERTKHu+fwAODsBWOAta22dtMvMEMfg\n",
       "WzuTd9L4w8ZUKVGF/3b4LwXyFnAdkkhkOnkSunTRLOkgC2mCsNbOB/ZlcFfUN66v+20dN424iXbV\n",
       "2vHeXe+RO1du1yGJRKZTs6QPHdIs6SBzdSb/ZIz51hgzwhhTzFEMzizdtpTGHzamT6M+vHDLC+qM\n",
       "Fskua73mpBUrtJd0CLhIEO8DVwG1gR1AVC2pOGP9DO76+C6GthzKA9c94DockciVmupNglu4EGbP\n",
       "1l7SIRD2UUzW2t2nrhtj/g1Myei4UK9t5MLob0fz7Oxn+bzz59xU9ibX4YhErpQUeOAB+OknLzkU\n",
       "Leo6It/LzppcIZ8oZ4wpD0yx1l6T9nestXZH2vWngOuttX886zG+mSh3//33M23aNEqVKsWqVasy\n",
       "PCariUfWWl5f+DrvLX+PmffOpFpJd0uFi0T8RLkTJ6BbN/j1V/j8cyhUyHVEEcn5TGpjzFigMXAZ\n",
       "sAvoB8ThNS9ZYCPwsLV211mP802CmD9/PoULF6Z79+7ZShCpNpWnv3iaORvnMOPeGZQpWiaU4Ypk\n",
       "KaITxLFj0LmzlyQmToT8+V1HFLGcz6S21nbJ4OaRoXzNYGvUqBGbNm3K9uP/Pu/vLN22lHk951G8\n",
       "QPHgBSYSbY4c8dZWKlQIxo9Xh3QYaCZ1CH236zsGLx3M/x76n5KDyMVITvYmwcXGwqhRkEdfXeGg\n",
       "sxwkZ3eq39zoZnpO6slrTV6j7B/KugtMol7Ebxh04ADceSdUqwZDh0JuzRkKF63mGoBNmzbRqlWr\n",
       "C+qD6D+3P99s/Ybpf5yueQ7iKxHVB7F3L9x+O9SvD4MHaxJcEDnvg4hWp5qWEh9OVHIQya7du6FZ\n",
       "M29F1tdfB32Wwk7pOAtdunThpptuYt26dZQtW5YPPvjgvMefSDlBz0k9Gdh0oEYsiWTX9u3QuDG0\n",
       "aaPk4JCamILg9JJdTUvid75vYtq8GZo08SbCPf+862hyLDUxhZmalkQu0k8/QdOm8PTT8PjjrqOJ\n",
       "empiChI1LYlcpLVr4dZboU8fJQefUAURJG988wYxhWO4r/Z9rkMRiTzffuttEzpwoLeMhviCEkSQ\n",
       "jP52NGPbjVXTksiFWr4cWraEd96BDh1cRyOnUYIIku1J26kVU8t1GCKRZeFCaNsW/v1vb6a0+IoS\n",
       "RJBcf8X12hVO5EJ89RV06gT/+Y8310F8RwkiSBqUaeA6BJHIMXMmdO/urcjauLHraCQTGsUUJEoQ\n",
       "IgGaNAl69PD2clBy8DUliADMnDmTqlWrUrlyZQYOHJjhMfXL1A9zVCIRaPx4eOQRmDEDGuhHld8p\n",
       "QWQhJSWFxx57jJkzZ7JmzRrGjh3L2rVrzznusoKXOYjuTH5asdMvsfglDvBXLE58+CE89RR8+SVc\n",
       "d53raCQAShBZWLp0KZUqVaJ8+fLkzZuXzp078/nnn7sOK0N++gLySyx+iQP8FUvYvf8+vPgifP01\n",
       "1KzpOhoJUJYJwhjzuDEmane72bZtG2XL/r6fQ5kyZdi2bZvDiEQizD//6S24N3cuXH2162jkAgRS\n",
       "QcQAy4wxE4wxLUyUzQSLsv+uSHD9/e9e9TBvHlSo4DoauUABreZqjMkFNAd6AvWACcAIa+2GkATl\n",
       "o9VcFy9eTHx8PDNnzgRgwIAB5MqVi+eeey79GCURiTQh/3xZ6zUpffaZ1+cQGxva15MLFrTVXK21\n",
       "qcaYncAuIAUoDkw0xnxprX324kP1r3r16rF+/Xo2bdrE5Zdfzvjx4xk7duwZx/glmYn4grXwzDPe\n",
       "RLiEBChZ0nVEkk1ZJghjzBNAd+A34N/AM9baE2lVxXogRyeIPHny8K9//Yvbb7+dlJQUevXqRbVq\n",
       "1VyHJeJPqanw2GOwYoWXIIpHbfdljpBlE5Mx5mVgpLV2cwb3VbfWrgl6UD5qYhKRAKWkeJv8/PQT\n",
       "TJsGRYu6jkjOI5Ampiw7qa21/TJKDmn3BT05RJJAJtCFS/ny5alVqxZ16tThhhtuCNvr3n///cTE\n",
       "xHDNNdek37Z3716aNWtGlSpVaN68Ofv373cWS3x8PGXKlKFOnTrUqVMnvS8plLZs2cKtt95KjRo1\n",
       "qFmzJoMHDwbcnJfMYgn6eTlxArp2hS1bvGU0lBxyBmut7y5eWP528uRJW7FiRbtx40Z7/Phxe+21\n",
       "19o1a9Y4i6d8+fL2t99+C/vrzps3z/7vf/+zNWvWTL/t2WeftQMHDrTWWvvaa6/Z5557zlks8fHx\n",
       "9s033wzL65+yY8cOm5iYaK21NikpyVapUsWuWbPGyXnJLJagnpejR61t29bau+6y9siR4DynhFza\n",
       "9+x5v4s1US6b/DiBzjpolmvUqBHFz2pnnjx5Mj169ACgR48eTJo0yVksEP7zUrp0aWrXrg1A4cKF\n",
       "qVatGtu2bXNyXjKLBYJ0Xo4c8ZbrzpULPv0U8ue/+OcU31CCyCa/TaAzxtC0aVPq1avH8OHDncUB\n",
       "sGvXLmJiYgCIiYlh165dTuN55513uPbaa+nVq1fYmrtO2bRpE4mJidSvX9/5eTkVy4033ggE4bwk\n",
       "J8Ndd3kd0ePGwSWXBDlicU0JIpv8Nvdh4cKFJCYmMmPGDN59913mz5/vOiTAO08uz1Xv3r3ZuHEj\n",
       "K1euJDY2lj//+c9he+3k5GTatWvHoEGDKFKkyBn3hfu8JCcn0759ewYNGkThwoUv/rwcOAAtWniT\n",
       "30aPhjzaOSAnUoLIpiuuuIItW7ak/71lyxbKlCnjLJ7YtIlIJUuWpG3btixdutRZLDExMezcuROA\n",
       "HTt2UKpUKWexlCpVKv3L+IEHHgjbeTlx4gTt2rWjW7dutGnTBnB3Xk7F0rVr1/RYLuq87N0LTZtC\n",
       "7dowbBjk1kZZOZUSRDadPoHu+PHjjB8/ntaOtkw8fPgwSUlJABw6dIhZs2adMZIn3Fq3bs2oUaMA\n",
       "GDVqVPqXkgs7duxIv/7ZZ5+F5bxYa+nVqxfVq1fnySefTL/dxXnJLJZsn5fdu+HWWyEuzttDOpe+\n",
       "QnK0rHqxXVyIgFFM1lo7ffp0W6VKFVuxYkX76quvOovj559/ttdee6299tprbY0aNcIaS+fOnW1s\n",
       "bKzNmzdwMirvAAAOWElEQVSvLVOmjB05cqT97bffbJMmTWzlypVts2bN7L59+5zEMmLECNutWzd7\n",
       "zTXX2Fq1atm7777b7ty5M+RxzJ8/3xpj7LXXXmtr165ta9eubWfMmOHkvGQUy/Tp07N3XrZts7Za\n",
       "NWtfesna1NSQxy6hRQCjmAJaiyncNFFOxGdWroQ2bbzNfp5/3nU0EgRBW4tJRKLYhAnw6KPw3nvQ\n",
       "oYPraCSMlCBEJGOpqfDSSzBmDMye7XVKS1RRghCRcx086C2dceAALFumFVmjlIYgiMiZ1q+HG2+E\n",
       "K67wKgclh6ilBCEiv5s1Cxo2hMcf93aC0+zoqBbSBGGMGWmM2WWMWXXabSWMMbONMeuMMbOMMcVC\n",
       "GYOIBMBab+/onj1h4kRvtJJEvVBXEB8ALc667XlgtrW2CjAn7W8RceXoUS8xjB4NixZBo0auIxKf\n",
       "CGmCsNbOB/addXNrYFTa9VGAu2m2ItFu+3Zo3NhLEgsWwJVXuo5IfMRFH0SMtfbUMpa7gBgHMYhP\n",
       "9evXj0GDBqX/3bdv3/RNbiTIliyBG26Au+/2VmMtVMh1ROIzIZ9JbYwpD0yx1l6T9vc+a23x0+7f\n",
       "a60tcdZjNJM6Sm3evJl77rmHFStWkJqaSpUqVVi2bFmG+zzIRRg1Cp59FkaMgFatXEcjDvh1JvUu\n",
       "Y0xpa+1OY0wssDujg+Lj49Ovx8XFERcXF57oxKkrr7ySSy+9lJUrV7Jz506uu+46JYdgOnkS/vIX\n",
       "mDIFEhKgenXXEUmYJCQkkJCQcEGPcVFBvA78Zq0daIx5HihmrX3+rMeogohiEyZMYOHChezatYue\n",
       "PXvSosXZ4xwkW/buhc6dwRivSUmJN6oFUkGENEEYY8YCjYHL8PobXgI+ByYA5YBNQEdr7f6zHqcE\n",
       "EcVOnDhBzZo1SUlJYf369b7bnCkirV7t9TXcfTcMHKgNfsR9E5O1tksmdzUN5etKZMubNy+33XYb\n",
       "xYsXV3IIhsmToVcvePNN6N7ddTQSQfQzQnwnNTWVxYsXM3HiRNehRDZr4dVXvRnRU6dC/fquI5II\n",
       "o6U2xFfWrFlD5cqVadq0KRUrVnQdTuQ6dAg6dfKqh6VLlRwkW7RhkEhOs3mz19dQuzYMGQL587uO\n",
       "SHwokD4IVRAiOcm8ed5KrD17wgcfKDnIRVEfhEhOMWQI9OvnbfDTrJnraCQHUIIQiXTHj3vLc8+b\n",
       "BwsXQqVKriOSHEIJQiSS7d4N7dtDsWKweDEULeo6IslB1AchEqkSE73F9m65BSZNUnKQoFMFIRKJ\n",
       "xo+Hxx6Dd9+Fjh1dRyM5lBKESCRJTYUXX4T//MfbL7p2bdcRSQ6mBCESKQ4ehHvv9f5dtgxKlnQd\n",
       "keRw6oMQiQTr13vzG8qU8SoHJQcJAyUIEb+bNQsaNvSGsr7/PlxyieuIJEqoiUnEr6yFf/4T3ngD\n",
       "/vtfb7SSSBgpQYj40dGj8PDD8N133vyGK690HZFEITUxifjNtm1etXD0KCxYoOQgzihBiPjJjBne\n",
       "5Lc2bbxtQQsVch2RRDE1MYn4wf798PTT8PXXMHo0NGniOiIRVRAizs2YAddcA/nyeX0OSg7iE6og\n",
       "RFw5vWr48EMlBvEdVRAiLqhqkAigCkIknFQ1SARRBSESLqoaJMKoghAJNVUNEqFUQYiEkqoGiWCq\n",
       "IERCYf9++POf4auvVDVIxFIFIRJsp6qGSy5R1SARTRWESLCoapAcRhWESDCoapAcSBWEyMVQ1SA5\n",
       "mCoIkexS1SA5nCoIkQulqkGihCoIkQuhqkGiiCoIkUCoapAopApCJCuqGiRKqYIQyYyqBolyqiBE\n",
       "MqKqQUQVhMgZVDWIpHNWQRhjNhljvjPGJBpjlrqKQySdqgaRM7isICwQZ63d6zAGEVUNIplw3Qdh\n",
       "HL++RDtVDSKZcl1BfGmMSQGGWmuHO4xFoo2qBpEsuUwQN1trdxhjSgKzjTE/WGvnn7ozPj4+/cC4\n",
       "uDji4uLCH6HkPIcOweDB8NZb0KGDVzUUKeI6KpGQS0hIICEh4YIeY6y1oYnmQoIwph+QbK19M+1v\n",
       "64e4JAc5ehSGDIHXXoO4OHj5Zbj6atdRiThjjMFae95mfid9EMaYgsaYImnXCwHNgVUuYpEc7sQJ\n",
       "GDYMKlf2mpO++ALGjVNyEAmAqyamGOAzY8ypGP5jrZ3lKBbJiVJS4OOPIT4eKlSAiROhfn3XUYlE\n",
       "FF80MZ1NTUySbamp8Nln8NJLUKwY/P3vXpOSiJwhkCYmzaSWnMFab8jqCy+AMfCPf0CLFt51EckW\n",
       "JQiJfAkJXmLYtw9eeQXuuUeJQSQIlCAkci1Z4iWGjRu9voYuXSB3btdRieQYrmdSi1y4b7+F1q29\n",
       "eQwdO8LatdC1q5KDSJApQUjk+PFH6NTJ61to0gTWrYMHH4S8eV1HJpIjKUGI/23aBPfdBw0bQp06\n",
       "8NNP8MQTkD+/68hEcjQlCPGv7dvh//4P6taFsmVh/Xp4/nkoVMh1ZCJRQQlC/GfPHnjmGW+V1UKF\n",
       "4IcfvNFJxYq5jkwkqihBiH/s3w8vvghVq8KRI7BqFbzxBpQs6ToykaikBCHuHToEAwZ46yVt2wYr\n",
       "VsC778Lll7uOTCSqKUGIO0ePwttvQ8WK3tDVBQtg5EgoX951ZCKCJsqJCydOwAcfQP/+cN11MGsW\n",
       "1KrlOioROYsShITP6SusVqyoFVZFfE4JQkLv9BVWixf3mpEaN3YdlYhkQQlCQiclBaZPh379tMKq\n",
       "SARSgpDg+/57GD0axozxJri98AK0bavEIBJhlCAkOPbsgbFjYdQo2LULunWDOXOgWjXXkYlINmlH\n",
       "Ocm+48dh2jQvKSQkQMuW0KMH3HabVlYV8blAdpRTgpALYy0sX+4lhfHjoUYNLym0bw9FiriOTkQC\n",
       "pC1HJXi2bfP6FEaN8iqH7t1h6VK46irXkYlIiChBSOYOH/aGp44a5VUN7dvD8OFw003qcBaJAkoQ\n",
       "cqbUVG/Ji1Gj4NNP4cYb4f774fPPoUAB19GJSBgpQYhnwwZvaOpHH3lLbPfoAWvWQGys68hExBEl\n",
       "iGh24ABMmOAlhnXroEsXb/mLOnXUhCQiGsUUdVJSYPZsrwlpxgxvb+cePeCOO7S3s0gU0TBX+d3Z\n",
       "s5u7d4fOneHSS11HJiIOaJhrtNPsZhG5CKogcprjx2HqVC8pzJ0LrVp51YJmN4vIaVRBRIvMZjeP\n",
       "GaPZzSKSbUoQkSgpyZvFvGgRLF7sXUqUgK5dNbtZRIJGTUx+Zy2sX+8lg1OXDRugdm1vEluDBt7l\n",
       "8stdRyoiEUSjmCJRRtVBoUK/J4IGDbzkcMklriMVkQimBOF3GVUHP/3kJYDTE4KqAxEJMiUIv0lK\n",
       "gmXLfk8Gqg5ExBElCJdUHYiIjylBhJOqAxGJIEoQoaLqQEQinG8ThDGmBfA2kBv4t7V24Fn3u0sQ\n",
       "KSmwbx/89tu5l19/hVWrnFUHCQkJxMXFhfQ1Io3Oybl0Ts6lc3IuX86kNsbkBv4FNAW2AcuMMZOt\n",
       "tWuD+kLWejuinf4Fv3dvxl/8p18OHoQ//MFbxC6jy333wbBhTqoDvcnPpXNyLp2Tc+mcZI+LmdQ3\n",
       "AD9ZazcBGGPGAXcDmSeI8/2qP9/FmMy/6MuW9X71n317sWJas0hEBDcJ4gpgy2l/bwXqn3PUjTdm\n",
       "/au+RInfv+wzSgIFC4br/yQikuOEvQ/CGNMOaGGtfTDt765AfWvtn047xsc91CIiOYPv+iDw+h3K\n",
       "nvZ3WbwqIl1WQYuISOjlcvCay4HKxpjyxphLgE7AZAdxiIjIeYS9grDWnjTGPAZ8gTfMdUTQRzCJ\n",
       "iMhF8+VEORERcc9FE9N5GWNaGGN+MMasN8Y85zoe14wxI40xu4wxq1zH4hfGmLLGmK+NMauNMd8b\n",
       "Yx53HZNrxpj8xpglxpiVxpg1xpgBrmPyC2NMbmNMojFmiutY/MIYs8kY813aeVma6XF+qiDSJtH9\n",
       "yGmT6IAu0dwEZYxpBCQDo62117iOxw+MMaWB0tbalcaYwsAKoE00v08AjDEFrbWHjTF5gAXAM9ba\n",
       "Ba7jcs0Y8zRQFyhirW3tOh4/MMZsBOpaa/ee7zi/VRDpk+istSeAU5Poopa1dj6wz3UcfmKt3Wmt\n",
       "XZl2PRlvkmXUL3xlrT2cdvUSvP698374o4ExpgxwJ/BvQKMjz5Tl+fBbgshoEt0VjmKRCGCMKQ/U\n",
       "AZa4jcQ9Y0wuY8xKYBfwtbV2jeuYfOCfwLNAqutAfMYCXxpjlhtjHszsIL8lCP+0d4nvpTUvTQSe\n",
       "SKskopq1NtVaWxsoA9xijIlzHJJTxpiWwG5rbSKqHs52s7W2DnAH8GhaU/Y5/JYgspxEJwJgjMkL\n",
       "fAKMsdZOch2Pn1hrDwDTgHquY3HsJqB1Wnv7WOA2Y8xoxzH5grV2R9q/e4DP8Jr3z+G3BKFJdJIl\n",
       "Y4wBRgBrrLVvu47HD4wxlxljiqVdLwA0AxLdRuWWtbaPtbastfYqoDPwlbW2u+u4XDPGFDTGFEm7\n",
       "XghoDmQ4StJXCcJaexI4NYluDTBeI1PMWOAboIoxZosx5j7XMfnAzUBX4Na0YXqJaXuMRLNY4Ku0\n",
       "PoglwBRr7RzHMfmNmrA9McD8094rU621szI60FfDXEVExD98VUGIiIh/KEGIiEiGlCBERCRDShAi\n",
       "IpIhJQgREcmQEoSIiGRICUJERDKkBCEiIhlSghC5CMaY640x3xpj8hljCqVtYFTddVwiwaCZ1CIX\n",
       "yRjTH8gPFAC2WGsHOg5JJCiUIEQuUtrKssuBI0ADqw+V5BBqYhK5eJcBhYDCeFWESI6gCkLkIhlj\n",
       "JgMfAxWAWGvtnxyHJBIUeVwHIBLJjDHdgWPW2nHGmFzAN8aYOGttguPQRC6aKggREcmQ+iBERCRD\n",
       "ShAiIpIhJQgREcmQEoSIiGRICUJERDKkBCEiIhlSghARkQz9P0hXh9Y3YJnWAAAAAElFTkSuQmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0xa48d5c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "\n",
    "axes1 = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # main axes\n",
    "axes2 = fig.add_axes([0.2, 0.5, 0.4, 0.3]) # inset axes\n",
    "\n",
    "# main figure\n",
    "axes1.plot(x, y, 'r')\n",
    "axes1.set_xlabel('x')\n",
    "axes1.set_ylabel('y')\n",
    "axes1.set_title('title')\n",
    "\n",
    "# insert\n",
    "axes2.plot(y, x, 'g')\n",
    "axes2.set_xlabel('y')\n",
    "axes2.set_ylabel('x')\n",
    "axes2.set_title('insert title');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAakAAAEbCAYAAABgLnslAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xu81lPe//HXJ4oihxHlfCzDcFdyzMS+B43zOWfdGoPb\n",
       "lFJ+jhMyGGHaFRq0K5WUSkSNQ4VNoZQO0lFR0l0hKUlpt9fvj3XFll1d+zqt7/e63s/Ho0e7va/D\n",
       "m3x8rrW+67uWOecQERGJomqhA4iIiGyOmpSIiESWmpSIiESWmpSIiESWmpSIiESWmpSIiESWmlSe\n",
       "MLP9zOx7M7MtPKbczA7KZS6RuFEtRYuaVIyZ2QIz+xOAc+4L51xtl7jxzcxKzezasAlF4kG1FF1q\n",
       "UvHmgM192tNd2iLJUy1FlJpUTJnZs8B+wIjE1MStiSmIbczsQaAZ8ETiZ49V8vztzOxfZrbQzJaa\n",
       "2ZNmtn2u/zlEQlMtRZuaVEw5564GvgDOds7VBob+8iP3d2As0DoxbdG2kpfoDBwCNEz8vjdwT/aT\n",
       "i0SLaina1KTyW6XTF4kLwtcBHZxz3znnVgMPAZflMpxIjKiWAtk2dADJqs3Npe8O1AI+qrCAydCH\n",
       "FpHNUS0FoiYVb1u6oLuln30D/Agc7pxbktlIIrGkWooodft4WwYcXNWfOefKgRKgm5ntDmBme5tZ\n",
       "86ykFIk+1VJEqUnF20NARzP7FriIX3/i6w5cbGbfmlm3Sp57OzAPGG9mK4HRQINsBxaJKNVSRFm2\n",
       "Dj00s32B/sAe+L/wns65x8ysE/BX4OvEQ+90zr2elRAieUC1JIUsm02qHlDPOTfVzHYEPgLOBy4B\n",
       "vnfOFWfljUXyjGpJClnWFk4455YCSxNfrzazWfj7B2Dzd3aLyCZUS1LIcnJNyswOABoD4xPfusnM\n",
       "pplZbzPbJRcZRPKBakkKTdam+35+Az89UQo84JwbbmZ78Msc+v3Ans65azd5jvbKkshzzuV0FKNa\n",
       "kny0tTrK6kjKzKoDw4ABzrnhiUBfuQSgF3BsZc91zgX/de+99wbPEJUcUcgQiRz9+uHOOCObZVMp\n",
       "1VJ+ZFCOCr+aNk3qv/2sNanEdiG9gZnOuW4Vvr9nhYddAEzPVgaRjCspgeuuy+lbqpYk78yYAZ99\n",
       "ltRDs7njxInAVcDHZjYl8b27gMvNrBF+Ke3nwA1ZzCCSObNmwbx5cPbZuX5n1ZLkl169oFUreOih\n",
       "rT40m6v7xlH5SO21bL1nphUVFYWOAEQjRxQyQOAcvXrBNddA9eo5fVvVUv5kAOVg7VoYMADGj0+q\n",
       "SWV94UQqzMxFMZcUsHXrYN994YMP4OCDMTNcjhdOpEK1JJEzaBD07g1jxiRVR9oWSSQZw4fDkUfC\n",
       "wZvb3k1EklJSAtdfn/TD1aREkhFgwYRI3pk3Dz75BM47L+mnqEmJbM38+TBtGlxwQegkIvHWqxe0\n",
       "bAnbbZf0U3SelMjW9OoFV19dpcISkU389BP07QulpVV6mpqUyJasX+8L6623QicRibcRI6BBA/j9\n",
       "76v0NE33iWzJyJFwyCFw2GGhk4jEW4rXdTWSEtkSLZgQSd+CBTBxIrz0UpWfqpGUyOZ88QVMmAAX\n",
       "Xxw6iUi89ekDV1wBNWtW+akaSYlsTp8+cPnlUKtW6CQi8VVW5mvptdQ2SFGTEqnMhg2+sEaMCJ1E\n",
       "JN5efx322cffDJ8CTfeJVOaNN6BePWjYMHQSkXhL87qumpRIZbRgQiR9ixfD2LFw6aUpv4SalMim\n",
       "lizxNxxedlnoJCLx9swz0KIF7Lhjyi+ha1Iim9pYWLVrh04iEl/l5X6386FD03oZNSmRisrL/TZI\n",
       "gweHTiISb2PGwC67QJMmab2MpvtEKnrrLdhpJzj66NBJROJt43VdS+/YNR16KFLRpZfCSSdB69Zb\n",
       "fJgOPRTZgq++8vv0LVwIO++82Yfp0EORqvj6a7/0/MorQycRibd+/fzRNltoUMnSNSmRjfr394ex\n",
       "7bJL6CQi8eWcv677zDMZeTk1KRHwhVVS4otLRFL37ruw7bZwwgkZeTlN94kAjBsH1arBiSeGTiIS\n",
       "bxlaMLGRFk6IgD95t3Fj6NAhqYdr4YRIJb79Fg46CObPh9122+rDtXBCJBkrVviNZFu2DJ1EJN6e\n",
       "fRbOPDOpBpUsNSmRAQPgjDOgTp3QSUTia+N13QzveakmJYUtS4UlUnDGj4d166CoKKMvqyYlhe3D\n",
       "D2HNmowXlkjByfCCiY20BF0KW0kJ/PWvfmWfiKRm1Sp46SWYPTvjL60mJYXr++9h2DCYNSt0EpF4\n",
       "GzgQTjkF6tbN+Evr46MUrkGD4L//25/AKyKpy+J1XTUpKVxaMCGSvo8+guXL4bTTsvLyalJSmKZM\n",
       "8Ts1N28eOolIvJWUwLXXZu26rq5JSWHaWFjbbBM6iUh8rV7tDwidPj1rb6EmJYXnhx/g+efh449D\n",
       "JxGJtyFDoFkz2GefrL2Fpvuk8AwdCk2bZrWwRApCDq7rqklJ4dGCCZH0ffIJLFrktxTLoqw1KTPb\n",
       "18zeNrMZZvaJmbVNfP93ZjbazOaa2Sgz0wlzkjszZsDnn8NZZ4VOkjTVkkRSSQm0auXPjsqirB3V\n",
       "YWb1gHrOualmtiPwEXA+0Ar4xjn3iJndDuzqnLtjk+fqeAHJjvbtoVYtePDBtF4ml0d1qJYkctau\n",
       "9dPlkybBAQek/DJBj+pwzi11zk1NfL0amAXsDZwL9Es8rB++2ESyb+1av+P5tdeGTlIlqiWJnGHD\n",
       "oEmTtBpUsnJyTcrMDgAaAxOAus65ZYkfLQMyv4+GSGVeegkaNfKHssWUakkiIYfXdbO+BD0xPTEM\n",
       "aOec+94q7JDrnHNmVulcRKdOnX7+uqioiCLtUi3p6tkT/va3lJ5aWlpKaWlpZvNUkWpJImHOHL+R\n",
       "7LnnVvmpqdRRVo+PN7PqwEjgNedct8T3ZgNFzrmlZrYn8LZz7vebPE/z6JJZn34Kf/yjX41Uo0ba\n",
       "L5fr4+NVSxIZt97qd5d4+OG0XyroNSnzH/N6AzM3FlXCK8D/JL7+H2B4tjKI/KykxB8Pn4EGlWuq\n",
       "JYmMtWuhf39/vE2OZHN13x+Bd4GPgY1vcifwITAE2A9YAFzinPtuk+fq059kzurV/gLvxIlw4IEZ\n",
       "eckcr+5TLUk09Onjb4Z/7bWMvFwydZTV6b5UqbAkox57DMaO9cWVIbme7kuVakkyxjk48kjo1g1O\n",
       "PTUjL5lMHWnvPslvGzb4onruudBJROJt1Ci/IfMpp+T0bbUtkuS34cP9oYYnnBA6iUi8dekCHTqA\n",
       "5XYCQU1K8ltxMdxyS+gUIvE2fbrfq++yy3L+1mpSkr/Gj4clS+B8bcQgkpbiYmjTBrbbLudvrWtS\n",
       "kr+6dIGbb9bBhiLpWLLET5vPnx/k7bW6T/LT55/DMcf432vXzvjLa3WfFIyOHWHFCujRI+MvrSXo\n",
       "UrhuvtlPTWTgrvjKqElJQfjhB3+P4fvvQ/36GX95LUGXwvTdd/6ueB0PL5Ke/v3hxBOz0qCSpSYl\n",
       "+aekBM48U8fDi6SjvBy6doXevYPGUJOS/LJ+vd9h4uWXQycRibeRI2Hnnf3GzAFpCbrkl6FD4ZBD\n",
       "4KijQicRibcuXfw9hjm+eXdTalKSP5z7pbBEJHWTJsGCBXDxxaGTqElJHnn3Xb8a6cwzQycRibfi\n",
       "YmjbFrYNf0VIS9Alf5x7Lpx1FtxwQ9bfSkvQJW998QU0auTvMdx556y+le6TksIxZw40awYLF0LN\n",
       "mll/OzUpyVu33upPDyguzvpb6T4pKRzdusH//m9OGpRI3lq1yh9sOHly6CQ/U5OS+PvmG3j+eZg9\n",
       "O3QSkXjr08cfaLj//qGT/ExNSuLvqafgwguhbt3QSUTiq6zMz0gMGRI6ya+oSUm8rV3rN74cMyZ0\n",
       "EpF4e/FFv0vLsceGTvIrWoIu8TZwoF+J9Ic/hE4iEl8RvsdQIymJL+f8CqSuXUMnEYm399+H5cv9\n",
       "bRwRo5GUxNeoUVCtmr/QKyKpKy6O7AGhuk9K4uvPf4bLL4drrsn5W+s+Kckb8+fDccf5ewx32CGn\n",
       "b637pCR/TZ/uf73ySugkIvHWvTtcd13OG1Sy1KQknoqLoU0bf/quiKRmxQoYMAA++SR0ks1Sk5L4\n",
       "WbIEhg+HefNCJxGJt6efhrPPhr32Cp1ks9SkJH569IArroDddgudRCS+fvoJHn8cXn01dJItUpOS\n",
       "eFmzxn/6e//90ElE4m3wYDjsMGjYMHSSLdISdImXfv3gxBOhfv3QSUTia+M9hh06hE6yVRpJSXyU\n",
       "l/sbd3v1Cp1EJN7efhvWrYPTTw+dZKs0kpL4GDnSH8LWrFnoJCLxVlwM7dv7m+EjTiMpiY+Ne4tZ\n",
       "5O+hFYmuWbNg4kQYOjR0kqREv42KAEya5I+zvuii0ElE4q1rV7jxxtgcEKqRlMRDcTG0awfVq4dO\n",
       "IhJfX3/tR1Bz5oROkjTt3SfR98UX/jiOzz/316QiQHv3SSzddx8sXgw9e4ZOAiRXR2pSEn233gob\n",
       "NvjRVESoSUnsrF0LBxzgV/YddljoNEBydZTVa1Jm1sfMlpnZ9Arf62RmX5rZlMSv6K+BlHBWrYI+\n",
       "ffxUX4FSHUlGDBgATZpEpkElK9sLJ54BNi0eBxQ75xonfr2e5QwSZ336+POi9t8/dJKQVEeSnvLy\n",
       "2Ny8u6msLpxwzo01swMq+VHkp0kkAsrKoFs3GDIkdJKgVEeStjfegBo14E9/Cp2kykItQb/JzKaZ\n",
       "WW8z2yVQBom6wYNh333h2GNDJ4kq1ZFsnXPQuXNs7zEM0aSeBA4EGgFLgC4BMkjUlZVBp05+NZJU\n",
       "RnUkyRkzBpYu9adYx1DO75Nyzn218Wsz6wWMqOxxnTp1+vnroqIiioqKsh1NoqRfPz+Kisj0RGlp\n",
       "KaWlpaFj/CzZOgLVUkFzDjp29B/2tg1/W2wqdZT1JeiJufQRzrkjE3/e0zm3JPF1e+AY59wVmzxH\n",
       "y2YL2bp10KABDBoETZuGTlOpXC9BT6WOEj9TLRWyESPg73+HqVMjuU9fMnWU1dZqZoOAk4E6ZrYI\n",
       "uBcoMrNG+NVJnwM3ZDODxFCvXnDEEZFtULmmOpKUlJfD3XfD/fdHskElSzfzSrSsWePPinrlFX9P\n",
       "R0TpZl6JvCFD4NFH4cMPI7tgIvhISqTK/v1vOP74SDcokcgrK4N77oHu3SPboJKlJiXR8f33/pPf\n",
       "W2+FTiISbwMHwu67Q/PmoZOkTU1KoqN7dzjtNPjDH0InEYmv9ev97Rt9+8Z+FAVqUhIVK1b43SU+\n",
       "+CB0EpF4e+YZOOQQOOmk0EkyQgsnJBo6dvQ3HPbqFTpJUrRwQiJp7Vq/8OiFF+C440Kn2SotnJB4\n",
       "+OorePJJmDw5dBKReHv6aWjcOBYNKlkaSUl4t9zib+B94onQSZKmkZREzg8/+Gm+117zh4TGgEZS\n",
       "En2LF/s59BkzQicRibcnnvDXoWLSoJKlkZSE1bo11Krll57HiEZSEikrV/prUe+8E6tDDTWSkmhb\n",
       "sACefx5mzw6dRCTeunaFM86IVYNKlkZSEs5f/gJ77+33FosZjaQkMpYvh0MP9dsfHXRQ6DRVopGU\n",
       "RNfcuX6H5k8/DZ1EJN4efRQuvjh2DSpZGklJGFdc4Xc6v+uu0ElSopGURMLSpXD44fDxx7DPPqHT\n",
       "VFkydaQmJbk3fbrf/mjePNhxx9BpUqImJZHQrp3f+qhbt9BJUqImJdF0wQXQrBl06BA6ScrUpCS4\n",
       "RYugYUOYORPq1QudJiVqUhI9kybB+ef7a1E1a4ZOkzI1KQnuhhtg112hc+fQSVKmhRMSPXff7Y+z\n",
       "jnGDEglu/nwYNswvQMpzWz1T2MzamtmuuQgjeW7cOH9P1LXXhk4ShGpJMua+++Cmm+B3vwudJOuS\n",
       "GUnVBSaa2WSgD/CG5g+kypzzO53fcw/UqBE6TSiqJUnfzJnw+usFc/tGUtekzKwa0By4BjgaGAL0\n",
       "ds7Nz0oozaPnnzFj/BZIM2bAtvGfZU71mpRqSdJ2ySXQpAncfnvoJGlLpo62Ot0H4JwrB5YCy4AN\n",
       "wK7AC2YWrw3XJIyNo6j77suLBpUO1ZKkZcoUGDsW2rQJnSRntjqSMrN2QEtgOdALeMk5tz7xifBT\n",
       "59zBGQ+lT3/5ZeRIuPNOmDYNqiX1uSjyUhlJqZYkbeec4+8xbNs2dJKMyNTqvt8BFzrnFlb8pnOu\n",
       "3MzOSSegFIDycr+i7/7786ZBpUG1JKkbPx6mToWhQ0MnySndJyXZNXQoPPwwTJzo74zPE7pPSnLu\n",
       "tNOgRQu4/vrQSTJG90lJWBs2+NV8XbvmVYMSybnSUvjsM2jVKnSSnCv4+RfJooEDoU4d+POfQycR\n",
       "ia+NC486dYLq1UOnyTmNpCQ71q/3RdWnj0ZRIul44w1/ZtQVV4ROEoRGUpIdffv6821OPjl0EpH4\n",
       "2jiK+sc/YJttQqcJQiMpyby1a/1qvgJbhSSSccOHQ1kZXHRR6CTBqElJ5vXsCY0awXHHhU4iEl8b\n",
       "NvjbNzp3LujbN9SkJLNWroSHHoLXXgudRCTennvOHwp61lmhkwSl+6Qks9q1gzVroKQkdJKs0n1S\n",
       "klXffQeHHean+/J4RkKHHkpuTZ4MZ57pN5HdbbfQabJKTUqyqnVrP9331FOhk2SVbuaV3Ckvhxtv\n",
       "hH/+M+8blEhWTZrkDzScOTN0kkgo3Ktxklm9evkdzq+5JnQSkfjasMF/2OvcuSAONEyGRlKSvq+/\n",
       "9vdyjBlT0KuQRNLWsydsvz20bBk6SWRk9f8oZtbHzJaZ2fQK3/udmY02s7lmNsrMdslmBsmB226D\n",
       "q6+G//qv0EnykuqoQCxb5ve6fPJJfdirINv/Jp4BTt/ke3cAo51zDYA3E3+WuBo7FkaP9lsgSbao\n",
       "jgrBrbf66fIjjgidJFKyvrrPzA4ARjjnjkz8eTZwsnNumZnVA0qdc7/f5DlakRQH69fDUUf5T38t\n",
       "WoROk1O5Xt2XSh0lHqdaioN33oGrroJZs/y9UQUiY8fHZ1hd59yyxNfLgLoBMkgmPPYY7LUXXHxx\n",
       "6CSFSHWUL376Cf72N+jWraAaVLKCLpxwzjkz08e8OFq0yO8sMX68djkPTHUUc926wf77w4UXhk4S\n",
       "SSGa1DIzq+ecW2pmewJfVfagThWucRQVFVFUVJSbdJKc9u2hTRs45JDQSXKitLSU0tLS0DEqSqqO\n",
       "QLUUaQsXwiOPwIQJBfFhL5U6CnFN6hFguXPuYTO7A9jFOXfHJs/RPHqUvfYa3HQTfPKJXy5bgCJw\n",
       "TWqrdZR4nGopyi64ABo39td1C1DwbZHMbBBwMlAHP29+D/AyMATYD1gAXOKc+26T56mwourHH/3q\n",
       "ox494PRNF5wVjlw2qVTrKPFc1VJUjRwJHTrAxx/rw96WHhPF/4BVWBF2771+u5YCPytKe/dJWtas\n",
       "8R/2nnoKmjcPnSYYNSnJrE8/hRNOgKlTYZ99QqcJSk1K0nL33TB3LgweHDpJUGpSkjnO+em95s3h\n",
       "lltCpwlOTUpSNmcOnHgiTJsGe+8dOk1QUb1PSuJo6FBYsgTatg2dRCS+nPPHcHTsWPANKlnaYFa2\n",
       "btUqf4H3+eehevXQaUTia/BgvyFzmzahk8SGpvtk6zp08CeF9ukTOklkaLpPqmzlSjj8cD8r0bRp\n",
       "6DSRoGtSkr5p0/x1qBkzoE6d0GkiQ01KqqxdO7+qr6QkdJLI0Mm8kp6Np+0+8IAalEg6pkzx0+U6\n",
       "bbfKtHBCNu+ZZ3yjuvba0ElE4mvjh71//hN22y10mtjRSEoq9803cNdd8PrrOoBNJB29e/saatUq\n",
       "dJJY0jUpqdx118EOO/gdmuU3dE1KkvL1135nidGjdXJ1JXRNSlLz/vvw6qv+ADYRSd3tt8OVV6pB\n",
       "pUFNSn6trMzPn3fpAjvtFDqNSHyNGwejRmmxRJp0sUF+7YknYPfd4dJLQycRia/16/2HveJifdhL\n",
       "k0ZS8ovFi+HBB+G99wriADaRrHn8cdhrL2jRInSS2NPCCfnFpZdCgwZw//2hk0SeFk7IZn35JTRq\n",
       "BB98APXrh04TaVo4IckbNQomToS+fUMnEYm39u39JrJqUBmhJiWwfLlfcv7001CzZug0IvE1cCBM\n",
       "nw79+4dOkjc03VfonIPzzvOf+rp0CZ0mNjTdJ78xdy788Y/+nqiGDUOniQVN98nWde0Ky5bBCy+E\n",
       "TiISX2vXwiWX+Ou5alAZpZFUIZswAc45Bz78EA44IHSaWNFISn7lxhthxQoYNEgrY6tAIynZvBUr\n",
       "4LLLoGdPNSiRdAwZAmPGwEcfqUFlgUZShcg5uPBC2G8/6N49dJpY0khKAJg3zx9g+MYb0Lhx6DSx\n",
       "o5GUVO7xx2HRIn++jYikZt06f2/hvfeqQWWRRlKFZtIkOPNMGD8eDjoodJrY0khKuOkmWLrUT/dp\n",
       "mi8lGknJr61c6T/5/fvfalAi6Rg2zJ8UMHmyGlSWaSRVKJzzS2T32AN69AidJvY0kipgn30Gxx/v\n",
       "m9TRR4dOE2saSckvnnzSX+R99tnQSUTi66ef/KrYv/9dDSpHNJIqBFOmQPPm/jBD7SeWERpJFaj2\n",
       "7WHBAnjxRU3zZYBGUgKrVvlpvscfV4MSScfLL8Pw4boOlWMaSeUz5+CKK/yha08/HTpNXtFIqsAs\n",
       "XAjHHguvvALHHRc6Td7QSKrQlZT4o6vHjw+dRCS+1q/316Fuu00NKgCNpPLVxx/DKafAuHFw6KGh\n",
       "0+QdjaQKyK23wuzZfhSlab6M0kiqUK1e7a9Dde2qBiWSjv/8x9+sq+tQwWgklW+cg5YtoUYN6N07\n",
       "dJq8pZFUAVi0CI45xq/ka9o0dJq8pJFUIXrmGb/k/MMPQycRia/16+Hyy/2SczWooDSSyiczZkBR\n",
       "EbzzDhx+eOg0eU0jqTx3550wbRqMHAnVqoVOk7c0kiokP/wALVrAo4+qQYmk4/XXYcAAfx1KDSq4\n",
       "YCMpM1sArAI2AOudc8dW+Jk+/VVVq1ZQXg79+oVOUhCiMpLaUh0lfq5aqorFi/12R4MHw0knhU6T\n",
       "96I+knJAkXPu24AZ8kP//v5eqIkTQyeR3FMdZUpZmb/5vU0bNagICT3dF/yTaOzNmgW33AJvvQU7\n",
       "7hg6jYShOsqE++6D7bbz16MkMkJOuDpgjJlNMrPrAuaIrzVr/P1QDz0ERx4ZOo2EoTrKhDFj/MrY\n",
       "Z5/VdaiICTmSOtE5t8TMdgdGm9ls59zYjT/s1KnTzw8sKiqiqKgo9wmj7KeffINq0gSuvTZ0mrxX\n",
       "WlpKaWlp6BiV2WIdgWppq6ZMgSuv9Neh6tYNnSavpVJHkViCbmb3Aqudc10Sf9bF3i0pK/N7iZWV\n",
       "wdChUL166EQFJyoLJyratI4S31MtbcnMmX77sB494MILQ6cpOMnUUZBxrZnVMrPaia93AJoD00Nk\n",
       "iZ3ycr+Sb/Vq/8lPDapgqY7S9Omn/py1f/1LDSrCQk331QVeMr8X1rbAc865UYGyxIdzcOONfruW\n",
       "V1/1F3mlkKmOUrVwIZx6KnTq5Kf6JLIiMd23KU1RVMI5v0XLhAkwahTUrh06UUGL4nRfZVRLlfi/\n",
       "//NLzNu29b8kmKjfJyVV0bEjvPuuX2quBiWSmq++8teg/vpXNaiYUJOKgwcf9MdWv/MO7LJL6DQi\n",
       "8fTtt/4aVIsWcMcdodNIktSkoq5bN7/V0TvvQJ06odOIxNOqVXDGGX4Udd99odNIFahJRdnTT0P3\n",
       "7r5B7bln6DQi8fTDD3D22XDUUX4lnw4vjBU1qajq3x8eeABKS2G//UKnEYmntWvhggvgoIP8vVBq\n",
       "ULGj1X1RNHQotGsHb74Jhx0WOo1UQqv7YuCnn+Cii6BWLXjuOdhWn8mjRqv74mjkSL8L86hRalAi\n",
       "qSorg6uu8iOnAQPUoGJMf3NRMmYM/OUvvlE1bBg6jUg8lZf7/Sy/+w5eeUW7ssScmlRUjB3rz7IZ\n",
       "NgyOPXbrjxeR33IOWreGzz/3J+xuv33oRJImNako+PBDP3c+cCA0axY6jUg8OefPVps8GUaP9tei\n",
       "JPbUpEKbNg3OOQf69PF7iYlIau65x+/I8vbbsNNOodNIhqhJhTRrFpx+OjzxhL+PQ0RS89BDfqq8\n",
       "tBR23TV0GskgNalQ5s/3W7Q88ojfpkVEUtO9O/Tu7fe23GOP0Gkkw9SkQvjiCz+117EjXH116DQi\n",
       "8VVSAl27+l1Z9tordBrJAjWpXJsxA84/39+se8MNodOIxJNz8PjjfiaitBT23z90IskSNalccQ76\n",
       "9oXbbvOF1apV6EQi8bRihb8PauFCP4I6+ODQiSSL1KRyYfVqf6Lu5Mm+qA4/PHQikXiaMAEuu8yv\n",
       "iB00SKdTF4BqoQPkvWnToEkTqFEDJk5UgxJJhXNQXOybU5cu8NhjalAFQiOpbHEOevb0iyO6dvX7\n",
       "iIlI1S1fDtdc40/VnTABDjwwdCLJITWpbFi1Cq6/3t8HNW4cHHpo6EQi8fTee367sBYt/H1QNWqE\n",
       "TiQ5pum+TJs82R+utuuuMH68GpRIKsrLoXNnuPBCf7P7v/6lBlWgNJLKFOd8Mf3jH/73Sy8NnUgk\n",
       "nr7+Glq29DMSEyfq0M8Cp5FUJqxY4TeI7dsXPvhADUokVe+8A40bQ6NGOpVaADWp9E2Y4Kf39tkH\n",
       "3n8fDjkkdCKR+NmwAe6/3y8v79XL78Wnc6AETfelzjm/aq9zZ3jqKT93LiJVt3SpX/26fj1MmgR7\n",
       "7x06kUSIRlKpWL4czj0XBg/2Iyk1KJHUvPmmn4lo2tR/rQYlm1CTqqr33vNFdeih/jRd3bMhUnVl\n",
       "Zf78p6uvhv79/YKjbTWxI7+l/yqSVV7u99zr2tXPmZ9zTuhEIvG0eLG/96l6dX/LRr16oRNJhGkk\n",
       "tTXl5fCf/8DJJ8OIEX7OXA1KpOq+/dYviGjSxB9V88YbalCyVRpJbc6PP/ppiK5doVYtuOUWv7Rc\n",
       "UxIiVTNvHnTrBgMH+mu5o0fDkUeGTiUxof/jbmrZMujRw6/YO/54//vJJ4NZ6GQi8eGc3xKsuNj/\n",
       "fsMN/iy1PfcMnUxiRk1qo08+8aOmF1/092qMHastjUSqav16v8dely6wciW0bw8DBsAOO4ROJjFV\n",
       "2E3KOT+hVda7AAAF50lEQVT1UFzsj9Ro3Ro+/RTq1AmdTCReVq70R7k/9hgcdBDcfTecfTZU02Vv\n",
       "SU9hNql16/z8eHGx/3OHDvDyyzqfRqSqFiyA7t2hXz844ww/E3H00aFTSR4prCb1zTf+GlOPHtCw\n",
       "oW9Sp56q600iVTV+vK+fN9/0R7lPmwb77hs6leShwmhSc+b4602DB/vdIUaPhiOOCJ1KJF42bIDh\n",
       "w31zWrIEbr4ZeveG2rVDJ5M8FmTC2MxON7PZZvapmd2e0Rd3zhdQaak/Gfecc6BZM6hbF2bP9kWV\n",
       "ZIMqLS3NaLRURSFHFDJAdHJERVZrad06f3Dnyy/DAw9A/fp+QUSHDv7abdu2STeoKPy9RSEDKEdV\n",
       "5XwkZWbbAE8ApwKLgYlm9opzblaVXmjlSl8oc+bA3Lm//lWzJjRo4FfnnXceDBniv1dFpaWlFBUV\n",
       "Vfl5mRaFHFHIEKUcUZCRWiovhy+//G0NzZnjd4bYbz9fSw0awHPPwQknpJQ1Cn9vUcigHFUXYrrv\n",
       "WGCec24BgJk9D5wH/Law1q2Dzz77pWgqFtHq1b8UT4MGcNZZfrlr/fr+VFyR/Jd8LS1f/tsmNHeu\n",
       "v9F2111/XUunnOJ/P/BAnYYrwYVoUnsDiyr8+UvguN886uCD/Se5/ff/pXiOOQauvNJ/vddeWvAg\n",
       "hS65WtptN7+h66GH/lJLF1/sf69fX9eUJNLMOZfbNzS7CDjdOXdd4s9XAcc5526q8JjchhJJgXMu\n",
       "6Kck1ZLkg63VUYiR1GKg4lrVffGfAH8WuvhFYkK1JHkvxOq+SUB9MzvAzGoAlwKvBMghEneqJcl7\n",
       "OR9JOefKzKwN8AawDdC7yiv7RES1JAUh59ekREREkhW53R+zenNi8hn6mNkyM5se4v0TGfY1s7fN\n",
       "bIaZfWJmbQPl2N7MJpjZVDObaWYPhciRyLKNmU0xsxEBMywws48TOT4MlSMZqqWfM6iWfpslNrUU\n",
       "qZFU4ubEOVS4ORG4PNdTGGbWDFgN9HfOBTmdzczqAfWcc1PNbEfgI+D8ENM5ZlbLObfGzLYFxgH/\n",
       "zzk3LkCODkAToLZz7txcv38iw+dAE+fctyHeP1mqpV9lUC39NkdsailqI6mfb050zq0HNt6cmFPO\n",
       "ubHAily/7yYZljrnpia+Xo2/QXOvQFnWJL6sgb/2kfP/QZvZPsCZQC8g9Iq10O+fDNXSLxlUSxXE\n",
       "rZai1qQquzlx70BZIsPMDgAaAxMCvX81M5sKLAPeds7NDBCjK3ArUB7gvStywBgzm2Rm1wXOsiWq\n",
       "pUqoloCY1VLUmlR05h4jIjE98QLQLvEpMOecc+XOuUbAPsBJZlaUy/c3s7OBr5xzUwj/ye9E51xj\n",
       "4AygdWI6K4pUS5tQLcWzlqLWpLZ6c2IhMbPqwDBggHNueOg8zrmVwH+AXJ9q1xQ4NzGHPQj4k5n1\n",
       "z3EGAJxzSxK/fw28hJ9WiyLVUgWqpZ/Frpai1qR0c2KCmRnQG5jpnOsWMEcdM9sl8XVN4DRgSi4z\n",
       "OOfucs7t65w7ELgMeMs51zKXGcBf9Daz2omvdwCaA8FWrW2FailBtfSLONZSpJqUc64M2Hhz4kxg\n",
       "cKAVOIOA94EGZrbIzFrlOgNwInAV8N+JJZpTzOz0ADn2BN5KzKNPAEY4594MkKOiUFNZdYGxFf5d\n",
       "jHTOjQqUZYtUS7+iWtq8yNdSpJagi4iIVBSpkZSIiEhFalIiIhJZalIiIhJZalIiIhJZalIiIhJZ\n",
       "alIiIhJZalIiIhJZalIiIhJZalJ5zMyOMbNpZradme2QOPDt8NC5ROJEdRSWdpzIc2Z2P7A9UBNY\n",
       "5Jx7OHAkkdhRHYWjJpXnErs/TwJ+BE5w+gsXqTLVUTia7st/dYAdgB3xnwJFpOpUR4FoJJXnzOwV\n",
       "YCBwELCnc+6mwJFEYkd1FM62oQNI9phZS2Cdc+55M6sGvG9mRc650sDRRGJDdRSWRlIiIhJZuiYl\n",
       "IiKRpSYlIiKRpSYlIiKRpSYlIiKRpSYlIiKRpSYlIiKRpSYlIiKR9f8BCE5RhiU9KGcAAAAASUVO\n",
       "RK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0xa4a6400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=1, ncols=2)\n",
    "\n",
    "for ax in axes:\n",
    "    ax.plot(x, y, 'r')\n",
    "    ax.set_xlabel('x')\n",
    "    ax.set_ylabel('y')\n",
    "    ax.set_title('title')\n",
    "    \n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAYsAAAEhCAYAAACOZ4wDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xl0VeW9//H3lzAIGmSeB5m8Ag4MImAH4wBisQJiHao4\n",
       "oKLSOoA/q61txXu9Yp1trVZRuNQqgq0KUtAEJIqKYRQZiswIQhjClBCGkHx/f5wDhBDICRn2OTmf\n",
       "11pnZZ999j75shdrf/I8z97PNndHRETkRCoFXYCIiEQ/hYWIiBRJYSEiIkVSWIiISJEUFiIiUiSF\n",
       "hYiIFElhIVKKzKyFmWWamZ1gmzwza12edYmUlMJCpITMbK2ZXQLg7t+7e6KHb2Ays1Qzuz3YCkVK\n",
       "TmEhUnIOHK8lobtepUJQWIiUgJm9BbQAPgp3Pz0U7mZKMLP/BX4CvBz+7M+F7F/NzJ41s3Vmlm5m\n",
       "r5rZKeX97xApisJCpATcfRDwPXCluycC7x35yB8FZgK/CndN3VfIVzwFtAXOC/9sCvyx7CsXKR6F\n",
       "hUjZK7SLKjwIficw3N13unsWMBK4vjyLE4lE5aALEIkDxxu3qA/UAOblu3jK0B9xEoUUFiIld6JB\n",
       "7BN9tg3YC3Rw902lW5JI6dJfMCIltxloU9zP3D0PGAW8aGb1AcysqZn1LpMqRUpAYSFSciOB35vZ\n",
       "dmAgR7cmXgKuMbPtZvZiIfs+DKwEvjazXUAKcGZZFyxSXBbUw4/MbDTQF9ji7ucU+OxB4Bmgnrtv\n",
       "D6/7LTAYyAXuc/fkci5ZRCRuBdmyGAP0KbjSzJoDvYB1+dZ1AK4DOoT3ecXM1CoSESkngZ1w3X0m\n",
       "sKOQj54HflNgXT9gnLvnuPtaQs32C8q2QhEROSSq/jo3s37ABnf/tsBHTYAN+d5vIHTzkoiIlIOo\n",
       "uXTWzGoAvyPUBXV49Ql20Zw7IiLlJGrCgtDlhWcAC8M3KDUjdLNSd+AHoHm+bZuF1x3FzBQgIiIn\n",
       "wd1P9Md59HRDufsid2/o7q3cvRWhrqYu7r4ZmARcb2ZVzawV0A6YfZzv0cudxx57LPAaouWlY6Fj\n",
       "oWNx4lckAgsLMxsHfAWcaWbrzey2Apsc/he4+1JgArAUmAoM9Uj/hSIiUmKBdUO5+w1FfN66wPsn\n",
       "gSfLtCgRESlU1HRDSelKSkoKuoSooWNxhI7FEToWxRPYHdxlwczUOyUiUkxmhhcxwB1NV0OVmXzT\n",
       "P0sEFLgiUlBchAXoBBgpBauIFEZjFiIiUiSFhYiIFElhISIiRVJYiIhIkeJmgDverVixgsWLF/Pt\n",
       "t9/y85//nC5dugRdkojEELUs4sTkyZNp2rQpw4cP59lnnw26HBGJMWpZxIlhw4YBsHTpUlq1ahVw\n",
       "NSISa9SyiDMffPABjz76aNBliEiMiYvpPsK3sgdQUXSZNGkSF198Menp6bRr167QbXSsROJPJNN9\n",
       "KCyi3OrVqxk1atRxP+/Rowf9+vUr8nvef/99Ro4cSa1atUhKSjpu6yKWj5WInByFxZH1UX0C3Lhx\n",
       "I2lpaUyYMIFx48aRm5vLpZdeSmpq6kl915gxY+jUqROff/4599xzD/Xq1SMrK4tGjRoVuX+0HysR\n",
       "KX2RhIXGLKLAsmXL6NatGz/8EHpS7Ny5c2nRokWxv2fPnj0MGDCAu+++m759+3LNNdcwbNgwkpOT\n",
       "qVOnTmmXLSJxRFdDhZXW/Hkn80f5JZdcwhNPPMFNN90EwPTp07n88suB4nVDjR8/nq5du1K3bl0A\n",
       "6tevz5IlSzAzqlatWvzCRETCFBZhQfe8pKWl8dRTTwGhsBg3bhwArVu3ZuTIkRF9R05ODm3btj38\n",
       "fs+ePSQkJDBgwIDSL1hE4oq6oaLEgAEDmDx5Mi+//DIZGRk0aNCg2N9xww03kJGRwZQpU5g4cSKb\n",
       "Nm2iU6dOjB49muzs7DKoWkRiXaRjlBrgjgLTp09n2rRpjBw5kscff5yWLVty6623BlJLtB8rESld\n",
       "7y15j2vPvlZXQ4XXR/UJcOHChSxYsAAzw8y4+eabA6sl2o+ViJSenft20vGVjmx8cKPCIrxeJ8AI\n",
       "6ViJxI97Jt+D47z289d06ayIiBxr1vpZTPxuIiMvjewCmsDCwsxGm9lmM1uUb90zZvYfM1toZu+b\n",
       "2en5Pvutma0ws2Vm1juYqkVEYl9Obg5DJg/hhctfoHb12hHtE2TLYgzQp8C6ZKCju58HLAd+C2Bm\n",
       "HYDrgA7hfV4xM7WKREROwnOznqNZzWZc2/HaiPcJ7ITr7jOBHQXWpbh7XvhtGtAsvNwPGOfuOe6+\n",
       "FlgJXFBetYqIVBSrtq/i2a+e5ZWfvYIV427kaP7rfDAwJbzcBNiQ77MNQNNyr0hEJIa5O0OnDOU3\n",
       "P/oNrWoX77k2UXkHt5k9Chxw93dOsFmhl+yMGDHi8HJSUhJJSUmlWpuISKwat3gc6VnpdNnX5ahz\n",
       "ZSQCvXTWzM4APnL3c/KtuxW4E7jU3feF1z0C4O5Phd9/DDzm7mkFvk+XzpaQjpVIxbR973Y6vtKR\n",
       "D6/7kO7Nuh/1WczNOmtmfYCHgH6HgiJsEnC9mVU1s1ZAO2B2EDWKiMSih1MeZmD7gccERaQC64Yy\n",
       "s3HARUA9M1sPPEbo6qeqQEp44GWWuw9196VmNgFYChwEhhbahBARkWPMXDeTqSunsmTokpP+Dt3B\n",
       "LUfRsRKpWPYf3E/n1zrzPxf/DwM7DCx0m0i6oaJygFtK37p165g9ezYrV66kd+/edO3aNeiSRKQc\n",
       "PP3l07St05ar219dou9RWMSJL7/8kkaNGmFmLF++XGEhEgeWZyznpbSXmH/X/GLdU1GYqBrglrLz\n",
       "y1/+klatWjF37lwGDiy8KSoiFYe7c/fku3n0J4/S4vTiP6a5IIVFHGnVqhX9+/cv9vXVIhJ73vr2\n",
       "LXbt38W93e8tle9TWMSJhx9+mKVLl1KtWjW+++67oMsRkTK0LXsbv0n5Da9f+TqVK5XOaIOuhopy\n",
       "q1evZtSoUcf9vEePHvTr16/I75k1axZbt25lyZIlXHXVVXTs2LHQ7WL5WIlIyG0Tb+P0aqfzYp8X\n",
       "I9o+kquhFBZRYOPGjaSlpTFhwgTGjRtHbm4ul156KampqSf1XWPGjKFTp058/vnn3HPPPdSrV4+s\n",
       "rCwaNWpU5P7RfqxE5MRmrJnBLR/ewpKhS0islhjRPrp0thjs8ZJdKXCIP1b8E+2yZcvo1q0bL7zw\n",
       "AgBz586lRYviD0jt2bOHAQMGMGXKFOrWrUuDBg0YNmwYgwYN4sorryz294lIbNl3cB93//tu/nLF\n",
       "XyIOikgpLMJO5iRfWi655BKeeOIJbrrpJgCmT5/O5ZdfDhSvG2r8+PF07dqVunXrAlC/fn2WLFmC\n",
       "mVG1atUy/leISNBGzhxJx/od6XdW0V3TxaWwiBJpaWk89dRTQCgsxo0bB0Dr1q0ZOTKyxx7m5OTQ\n",
       "tm3bw+/37NlDQkICAwYMKP2CRSSq/Gfrf/jrnL+y8O6FZfL9uhoqSgwYMIDJkyfz8ssvk5GRQYMG\n",
       "DYr9HTfccAMZGRlMmTKFiRMnsmnTJjp16sTo0aPJzs4ug6pFJBrkeR53Tb6Lxy56jKY1y+ZRPxrg\n",
       "jgLTp09n2rRpjBw5kscff5yWLVty6623BlJLtB8rETnWm/Pf5LV5rzHr9lkkVEoo9v66GurI+qg+\n",
       "AS5cuJAFCxZgZpgZN998c2C1RPuxEpGjbdmzhbNfOZvkQcl0atTppL5DYXFkvU6AEdKxEoktN71/\n",
       "E41Pa8wzvZ856e/QpbMiIhVYyqoUvvj+ixI9pyJSGuAWEYlBe3P2cs+/7+GVvq9watVTy/z3KSxE\n",
       "RGLQE58/QZfGXfhZu5+Vy+9TN5SISIxZvGUxr89/nW/v/rbcfqdaFiIiMeTQPRX/nfTfNE5sXG6/\n",
       "V2EhIhJDRs0bhbtz1/l3levvjZtuqJI+UlBEJGibMjfx+xm/59ObP6WSle/f+nERFrpvQEQqgmGf\n",
       "DOOOzndwTsNzyv13x0VYiIjEuqkrpjJn4xxG9xsdyO8PbMzCzEab2WYzW5RvXR0zSzGz5WaWbGa1\n",
       "8n32WzNbYWbLzKx3MFWLiJS/PQf2MHTKUF7t+yo1qtQIpIYgB7jHAH0KrHsESHH3M4Hp4feYWQfg\n",
       "OqBDeJ9XzMq5w05EJCCPf/Y4Fza/kN5tgvs7ObATrrvPBHYUWH0VMDa8PBboH17uB4xz9xx3Xwus\n",
       "BC4ojzpFRIK0MH0h//fN//F87+cDrSPa/jpv6O6bw8ubgYbh5SbAhnzbbQDKZtJ2EZEokZuXy5DJ\n",
       "Q3jy0idpeFrDoncoQ1E7wO3ubmYnuoyp0M9GjBhxeDkpKYmkpKTSLUxEpJz8be7fqJpQlcGdB5fq\n",
       "96amppKamlqsfQKdotzMzgA+cvdzwu+XAUnunm5mjYEZ7n6WmT0C4O5Phbf7GHjM3dMKfF+hU5SL\n",
       "iMSaH3b/QKfXOvHZrZ/RoX6HMv1dkUxRHm3dUJOAW8LLtwAf5lt/vZlVNbNWQDtgdgD1iYiUi/s+\n",
       "vo+7u95d5kERqcC6ocxsHHARUM/M1gN/BJ4CJpjZ7cBa4FoAd19qZhOApcBBYKiaECJSUU36bhKL\n",
       "Ni/i7avfDrqUw+LiSXkiIrEi60AWHV/pyJh+Y7ik1SXl8jv1WFURkRgz/JPhZOzNYGz/sUVvXEr0\n",
       "WFURkRgyb+M83l70drk8JrW4om2AW0QkLh3MO8iQyUP402V/ol6NekGXcwyFhYhIFHh59svUrFaT\n",
       "W867peiNA6BuKBGRgK3ftZ4nPn+CLwd/GbXP3lHLQkQkQO7Or6f+mvu638d/1fuvoMs5LrUsREQC\n",
       "9OGyD1mesZwJ10wIupQTUliIiARk9/7d3Pfxfbx99dtUq1wt6HJOSPdZiIgE5N4p95Kdk82b/d4M\n",
       "tA7dZyEiEqVm/zCb95a+x9JfLQ26lIhogFtEpJzl5OYw5KMhPNv7WepUrxN0ORFRWIiIlLOX0l6i\n",
       "wakNuPGcG4MuJWLqhhIRKUdrd67lqS+eIu2OtKi9p6IwalmIiJQTd+dXU37F8J7DaVOnTdDlFIta\n",
       "FiIi5eSdRe+wbuc6Prjug6BLKTaFhYhIOfh287c88MkDJN+UTNWEqkGXU2zqhhIRKWMZ2Rn0f7c/\n",
       "L/V5ic6NOwddzknRTXkiImXoYN5Brnj7Cjo17MQzvZ8JupxCRXJTnloWIiJl6JFpj2AYIy8bGXQp\n",
       "JaIxCxGRMvL2t2/zwbIPmHPnHCpXiu3TbWxXLyISpeZvms8DnzzApzd/GjN3aZ+IuqFERErZlj1b\n",
       "GDB+AH/r+zfOaXhO0OWUCoWFiEgpysnN4Rfv/YJB5w5iYIeBQZdTaqIyLMzst2a2xMwWmdk7ZlbN\n",
       "zOqYWYqZLTezZDOrFXSdIiIFDf9kOIlVE3k86fGgSylVURcWZnYGcCfQxd3PARKA64FHgBR3PxOY\n",
       "Hn4vIhI1Ri8YTfLqZP5x9T9IqJQQdDmlKurCAtgN5AA1zKwyUAPYCFwFjA1vMxboH0x5IiLHStuQ\n",
       "xsPTHubD6z6k1ikVr+Mj6sLC3bcDzwHfEwqJne6eAjR0983hzTYDDQMqUUTkKJsyNzFwwkDevOpN\n",
       "2tdvH3Q5ZSLqLp01szbAA8AZwC7gPTO7Kf827u5mVuit2iNGjDi8nJSURFJSUlmVKiLC/oP7GThh\n",
       "IEO6DuGq/7oq6HIikpqaSmpqarH2ibrpPszsOqCXu98Rfj8I6AFcAlzs7ulm1hiY4e5nFdhX032I\n",
       "SLm666O72Jq9lX9e+08qWdR11kQkVqf7WAb0MLPqFnoyyGXAUuAj4JbwNrcAHwZUn4gIAK/NfY0v\n",
       "1n/B2P5jYzYoIhV1LQsAM/sNoUDIA+YDdwCJwASgBbAWuNbddxbYTy0LESkXX3z/BQMnDOTLwV/S\n",
       "tk7boMspkUhaFlEZFidLYSEi5WHD7g1cMOoCRvcbTZ+2fYIup8RitRtKRCRq7Tu4jwHjB3B/9/sr\n",
       "RFBESi0LEZEIuTu3TbyNvQf38u7AdwkNq8a+SFoWUXfprIhItPrL7L+wIH0BXw3+qsIERaQUFiIi\n",
       "EZixZgZPznySWbfP4tSqpwZdTrnTmIWISBHW7lzLDf+6gbevfptWtVsFXU4gFBYiIieQnZPNgPED\n",
       "eOTHj3Bp60uDLicwGuAWETkOd+eX7/+SKpWqMLb/2Ao7TqEBbhGREnj2q2dZkbGCmbfNrLBBEamI\n",
       "w8LMUgjN9joTmOnuS8usKhGRgH2y8hNe+PoF0u5Io3qV6kGXE7iIu6HMbCBwLfBTQtODbwe+IBwe\n",
       "wFx3zyujOiOibigRKQ0rt6/kR6N/xHu/eI+ftvxp0OWUuTKb7sPMzgIuApKAK4CawFbgJeBP7p5b\n",
       "7C8tBQoLESmprANZ9HijB0O7DWVot6FBl1MuymVuKDNrBzwEbCL0+NO1QF93P1iiLz65WhQWInLS\n",
       "3J1r3ruGOqfU4fWfvx434xSlOjeUmdU1s/5m1iT/endfAaxy98eA9sA04HcnU7CISJCenPkkGzM3\n",
       "8vLPXo6boIhUca6GehtoCbQzs+nAP4HZ4c86AYTHLJ4xs6dLtUoRkTI2eflkXp37KrPvnE21ytWC\n",
       "LifqFCcsvnT3PmZ2LjAYeAxoAuQAQwDMrC9QF9hW2oWKiJSV77Z9x+CJg5l0wySaJDYpeoc4VJw7\n",
       "uOea2e+BXe7+gLs3A+oBdd19bHibnsAbwN5SrlNEpEzs2reLfu/248lLn6RHsx5BlxO1ijXAbWZ1\n",
       "gcvcffwJtqnv7ltLo7ji0gC3iBRHnufR791+tKjZgr/2/WvQ5QRGT8oTETmBP874I6lrU5l28zSq\n",
       "JlQNupzAaLoPEZHjeP8/7zN24Vhm3zE7roMiUgoLEYk7i7cs5q7Jd/HxjR/T8LSGQZcTEzRFuYjE\n",
       "lR17d9D/3f483/t5ujbpGnQ5MUNjFiISN3Lzcun7Tl861O/A85c/H3Q5UaNU7+AWEYl1j376KDl5\n",
       "OTzdS/cNF1dUhoWZ1TKzf5rZf8xsqZl1N7M6ZpZiZsvNLNnMagVdp4jEjncXv8uEJRMYf814KlfS\n",
       "cG1xRWVYEJq9doq7twfOBZYBjwAp7n4mMD38XkSkSN+kf8O9U+/lg+s+oF6NekGXE5OibszCzE4H\n",
       "Frh76wLrlwEXuftmM2sEpLr7WQW20ZiFiBxlW/Y2uo3qxlOXPsV1Z18XdDlRKVbHLFoBW81sjJnN\n",
       "N7NRZnYq0NDdN4e32UzoAUwiIsd1MO8g1753Ldd1vE5BUULR2HFXGegC/Nrd55jZixTocnJ3N7NC\n",
       "mxAjRow4vJyUlERSUlLZVSoiUe2h5IeoVrka/3vJ/wZdSlRJTU0lNTW1WPtEYzdUI2CWu7cKv/8x\n",
       "8FugNXCxu6ebWWNghrqhROR4xiwYw5NfPMnsO2ZTu3rtoMuJajHZDeXu6cB6MzszvOoyYAnwEXBL\n",
       "eN0twIcBlCciMWDUvFH8fsbvmXT9JAVFKYm6lgWAmZ1HaKrzqsAq4DYgAZgAtCD06NZr3X1ngf3U\n",
       "shCJc09/+TR/m/s3kgcl07ZO26DLiQmadVZE4oa787vpv2PidxNJGZRC05pNgy4pZmjWWRGJC7l5\n",
       "ufx6yq+Zu2kun9/2ue6lKAMKCxGJaQdyD3DLh7eQnpXO9JunU7NazaBLqpAUFiISs7JzsrlmwjVU\n",
       "SajC1BunckrlU4IuqcKKuquhREQisWvfLvr8ow91a9Tln7/4p4KijCksRCTmbN2zlYvHXsx5Dc9j\n",
       "bP+xVEmoEnRJFZ7CQkRiyve7vucnY37ClWdeyZ+v+DOVTKex8qAxCxGJGcszltPrrV480P0BhvUc\n",
       "FnQ5cUVhISIxYcGmBfR9py9PXPIEgzsPDrqcuKOwEJGo98X3X3D1+Kt5te+rDOwwMOhy4pLCQkSi\n",
       "2tQVU7n5w5t55+p36NWmV9DlxC2FhYhErfGLx3Pfx/cx6fpJ9GzeM+hy4prCQkSi0qh5oxjx2QhS\n",
       "BqVwbsNzgy4n7iksRCTqHJo59rNbP9PMsVFCYSEiUSP/zLEzb5upmWOjiMJCRKKCZo6NbgoLEQmc\n",
       "Zo6NfgoLEQmUZo6NDZpURUQCo5ljY4fCQkQCoZljY4vCQkTKnWaOjT0asxCRcqWZY2OTwkJEyo1m\n",
       "jo1dCgsRKReaOTa2RW1HoZklmNkCM/so/L6OmaWY2XIzSzazWkHXKCKRmbpiKgPGD+Dtq99WUMSo\n",
       "qA0L4H5gKeDh948AKe5+JjA9/F5Eotz4xeO5deKtTLp+kqYYj2FRGRZm1gz4GfAGYOHVVwFjw8tj\n",
       "gf4BlCYixTBq3iiGJw8nZVCKphiPcdE6ZvEC8BCQ/57/hu6+Oby8GWhY7lWJSMQ0c2zFEnVhYWZX\n",
       "AlvcfYGZJRW2jbu7mXlhn40YMeLwclJSEklJhX6FiJQRzRwb/VJTU0lNTS3WPuZe6Dk3MGb2JDAI\n",
       "OAicQqh18T7QDUhy93QzawzMcPezCuzr0fbvEYkn+WeOnXrjVM0cGyPMDHe3E24TzSdXM7sI+H/u\n",
       "/nMzexrIcPc/mdkjQC13f6TA9goLkYDknzl24vUTNXNsDIkkLKKuG6oQh87+TwETzOx2YC1wbWAV\n",
       "ichRNHNsxRfVLYviUstCpPyt2bGGG9+/kTZ12jD6qtGaEDAGRdKyiMpLZ0Uk+uV5Hn+d/Ve6jerG\n",
       "1e2v1syxFVwsdEOJSJRZu3MtgycOJjsnmy8Gf8FZ9c4qeieJaWpZiEjE8jyPV+e8SrdR3ejTtg9f\n",
       "Dv5SQREn1LIQkYis27mO2yfdTuaBTD6/9XPa128fdElSjtSyEJETcndem/sa5486n16te/Hl4C8V\n",
       "FHFILQsROa51O9dxx0d3sGvfLj679TM61O8QdEkSELUsROQY7s6oeaM4f9T5XHLGJXx1+1cKijin\n",
       "loWIHOX7Xd9z50d3kpGdwYxbZnB2g7ODLkmigFoWIgKEWhNvzH+Drq935aKWF/H1HV8rKOQwtSxE\n",
       "hPW71nPnR3eyLXubWhNSKLUsROKYu/Pm/Dfp8noXftzix8y6fZaCQgqlloVInNqwewN3fnQnm7M2\n",
       "M/3m6Zzb8NygS5IoppaFSJxxd8YsGEOX17pwYbMLSbsjTUEhRVLLQiSO/LD7B4ZMHsLGzI1Mu3ma\n",
       "QkIippaFSBxwd8Z+M5bOr3XmgiYXMPuO2QoKKRa1LEQquI2ZGxny0RA27N5A8qBkOjXqFHRJEoPU\n",
       "shCpoNydvy/8O53+1onzm5zP7DtnKyjkpKllIVIBbcrcxF2T72LdrnV8ctMndG7cOeiSJMapZSFS\n",
       "gbg7//j2H3R6rROdGnVizp1zFBRSqNxcWLQIXnstsu3VshCpINKz0rlr8l2s2bGGqTdOpUvjLkGX\n",
       "JFFk505IS4OvvoJZs0LLjRpBz56R7W/uXrYVliMz84r07xGJhLvzzqJ3GJ48nCFdhvCHi/5A1YSq\n",
       "QZclAXKH5ctDwXAoHNatg/PPD4XDhRdCjx5Qr15oezPD3e1E36mwEIlh6Vnp3PPve1iRsYKx/cfS\n",
       "tUnXoEuSAGRlwZw5R4Jh1iyoWTMUCofC4dxzofJx+pIUFiIVlLvz7uJ3eeCTB7ij8x388aI/Uq1y\n",
       "taDLknLgDmvXHt1q+O476NTpSDD07AmNG0f+nTEZFmbWHPg70ABw4HV3/7OZ1QHGAy2BtcC17r6z\n",
       "wL4KC6nwNmdtZuiUoSzbtoyx/cdyfpPzgy5JytC+fTBv3pFg+OorSEg4utXQuTNUK8HfCrEaFo2A\n",
       "Ru7+jZmdBswD+gO3Advc/Wkzexio7e6PFNhXYSEV1tY9W3llziu8MvcVbu98O49d9JhaExXQDz8c\n",
       "HQyLFkGHDke3Glq0ADvhqb14YjIsCjKzD4GXw6+L3H1zOFBS3f2sAtsqLKTCWbZtGS/MeoEJSyfw\n",
       "iw6/YFiPYbSv3z7osqQU5OTAN98cHQ579x4JhgsvDA1K16hRtnXEfFiY2RnAZ8DZwPfuXju83oDt\n",
       "h97n215hIRWCu5O6NpXnZj3HnI1zuOf8exjabSgNTm0QdGlSAunpoUtWDwXD/PnQps3RrYa2bUu3\n",
       "1RCJSMIiau+zCHdB/Qu4390zLd/Rc3c3s0JTYcSIEYeXk5KSSEpKKttCRUpRTm4O45eM5/lZz7P3\n",
       "4F6G9xjOe794j+pVqgddmhSDO2zaFBpryP/avx+6dQsFwx/+AN27h65aKm+pqamkpqYWa5+obFmY\n",
       "WRVgMjDV3V8Mr1sGJLl7upk1BmaoG0oqip37dvL6vNf5c9qfObPumTzY80GuaHcFlUyTLEQ7d9iw\n",
       "IdRKyB8MubnQteuRV5cu0LJl+bcaIhGT3VDhLqaxQIa7D8u3/unwuj+Z2SNALQ1wS6xbs2MNL379\n",
       "Im99+xZ9z+zL8B7DNT1HFHOH778PhUH+cDA7NhiaN4/OYChMrIbFj4HPgW8JXToL8FtgNjABaIEu\n",
       "nZUY9/WGr3lu1nPMWDOD2zvfzr3d76VZzWZBlyX5HLqf4VAgHAqHKlWODYamTWMnGAoTk2FREgoL\n",
       "iWa5ebl8uOxDnpv1HOlZ6TzQ4wEGdx7MaVVPC7q0uOcOq1cfHQzz58MppxwbDE2aBF1t6VNYiESB\n",
       "rANZjFkwhhfTXqTBqQ14sOeDDDhrAAmVEoIuLS7l5cGqVUePLyxYAKeddmwwNGoUdLXlQ2EhEqAf\n",
       "dv/AX2b/hTfmv0HSGUk82PNBejaPcIpPKRV5ebBixbHBUKvWscHQII6vSlZYiATgm/RveG7Wc/x7\n",
       "+b8ZdO4g7u9xP61rtw66rAovIwMWLz7yWrQIvv0W6tY9NhgOzbYqIQoLkXKS53l8vPJjnpv1HN9t\n",
       "+457L7iXIV2HULt67aJ3lmLJzISlS48OhsWLITsbzj77yKtjRzjvvFBYyIkpLETK2L6D+3hr4Vu8\n",
       "8PULVKtcjQd7Psi1Ha/V8yRKwf79sGzZsaGweTO0b390MJx9NjRrFttXJAVJYSFSRrbs2cKrc17l\n",
       "1bmv0rVJVx7s+SAXn3ExprNVseXmhgacC4bCmjXQuvWxodC6dWjWVSk9CguRUrZs2zKen/U87y19\n",
       "T5P6FZM7rF9/bCgsWxZ69kLBUDjzzJJNuy2RU1iIlAJN6ld8W7YcGwpLloQuTy0YCu3bh9ZLcBQW\n",
       "IiWw58DCAYRoAAAJ8UlEQVQePlj2wVGT+t107k2a1C8sLw82bgxdmrp8eSgMDgXDwYNwzjnHDjjX\n",
       "qRN01VIYhYVIMeR5Ht+kf0PyqmSSVyUzZ+Mcejbryf3d74/bSf3cQ62EQ4GwYsWR18qVoRlT27UL\n",
       "vfIHQ6NGGmyOJQoLkSKs37WelNUppKxOYdrqadSrUY/erXvTq00vLmp5EYnVEoMusVxs335sGBx6\n",
       "X63akUBo1y40ltCuXei5C4nxcXgqPIWFSAFZB7L4bO1nJK9KJmV1Clv2bOGy1pfRu01verXuRfPT\n",
       "mwddYpnZvbvwMFixInRFUsEwOPSqrVtFKjyFhcS93Lxc5m+aT8rqFJJXJTNv0zy6NelGr9a96N2m\n",
       "N50bd65Q3UvZ2aHuocK6jbKyQq2BgmFw5pmhO5rVbRS/FBYSl9btXHe4a2n66uk0PK0hvVv3pneb\n",
       "3vy05U85teqpQZdYIvv3h+5LKKyVkJERekxnYd1GjRsrEKRwCguJC5n7M0ldmxoamF6dzI69O+jV\n",
       "phe9WodeTWs2DbrEYtm5M/SAnXXrQj/zL69bFwqEli0L7zZq3hwqVZyGkpQThYVUSLl5uczdOPdw\n",
       "19KC9AV0b9r98LjDeY3Oi9qupdzc0LOZCwZA/p95eaEwaNkSWrQ49meTJrqDWUqXwkIqjDU71hwO\n",
       "h0/XfErTmk0Pdy39pOVPqFGlRtAlAqExg8IC4NDyxo2hie0KC4FDP2vVUneRlC+FhcSsXft2MWPt\n",
       "DFJWpZC8OpnM/ZmHu5Yua30ZTRLL/3Fl7rB164lbBVlZoa6g44VBs2aawkKij8JCYsaB3APM2zjv\n",
       "8CWtCzcvpGeznvRuE2o9nNPgnDKdpC8rKzSbaXp66HVoeePGo8OgRo3jtwhatoT69TVmILFHYSFR\n",
       "JTsnm9U7VrNy+0pWbl/Jqu2rWLkjtLwxcyPt67U/fEnrj1v8uMTTauzbFzrp5w+B/EGQfzk3N3S1\n",
       "UMOGobuPGzUKLTdufCQMWrTQHEZSMSkspNzt2reLVTtWFRoI2/dup1WtVrSt05Y2tdvQtk7b0HKd\n",
       "NrQ8vSVVEqoU+f05OaGuoBOd+A8t79lz5ORfMAQKLicmapxA4pfCQkqdu5OxN+NwGKzcvvKocNib\n",
       "s/dwALSt3faoQGia2JSESsdexrNvH+zYAdu2FR0CO3aEbiA70Yn/0HLt2uoSEolEhQsLM+sDvAgk\n",
       "AG+4+58KfK6wKAXuzqasTccNhEpWiXZ12h0OhDZ12tK8RlvqWBsq72vIzp3Gjh1E9Nq5M9QFVLt2\n",
       "6Cqhgl1BBUOgXj1dNipS2ipUWJhZAvAdcBnwAzAHuMHd/5NvG4VFWGpqKklJScf9PDcvl/W71x8O\n",
       "gBUZK1m+bRUrMlaybvcqqleqScMqoQComdOWU/a2pfLuNnhGW7Iz6hw+0R866ZuFTviRvGrVOvp9\n",
       "jRpl2wVU1LGIJzoWR+hYHBFJWFQur2JKwQXASndfC2Bm7wL9gP+caKeKJs/z2JG1hy27Mtm6O5Nt\n",
       "mbvJyMpkx57Qa+feTHbvy2TOxMk0TetMVk4m2Qczyc7NZJ/vZp9ncoBM9lVOp/L+BiTsboNva8uB\n",
       "9LZU3t2T0/PacEalNtRLTDz2RN8aanct/KRfPYof8aCTwhE6FkfoWBRPLIVFU2B9vvcbgO7l9cvz\n",
       "8kLdJQcPHv3zeMv5f2ZmH2Db7szQST07k53Zmezam8nu/Zns3r+brAOZ7DkYOqnvzctkr+9mf/ik\n",
       "frBSJgcTMsmtnEleld1QORsOVscOJFLpYCKVc2tSOTeRKp5INRKpZomcUimRzF0J5GxtRd0qibSs\n",
       "mkjN6onUPCWRWtVrUvvURFrUaUSjutWPOuHr+n8ROZ5YCouI+pfqP9AX9zzyyMM9Dye8fPi9h5ZP\n",
       "8ALHLQ/IO/wTy4NKoZ9meWAeWnfCl4Pl4uSFTuh5NUMndUvkFEukeqVEalSuyamnJVKrSiItqtWm\n",
       "ZrUWnF69JrWqJ1L71ETqnJpI3cRE6tdMpMHpNal/+qmcUq3oTvsRI0YwYsQDJTviIiJhsTRm0QMY\n",
       "4e59wu9/C+TlH+Q2s9j4x4iIRJmKNMBdmdAA96XARmA2BQa4RUSkbMRMN5S7HzSzXwOfELp09k0F\n",
       "hYhI+YiZloWIiASnwtzfamZ9zGyZma0ws4eDricoZjbazDab2aKgawmamTU3sxlmtsTMFpvZfUHX\n",
       "FBQzO8XM0szsGzNbamYjg64paGaWYGYLzOyjoGsJkpmtNbNvw8di9nG3qwgti0hu2IsXZvYTIAv4\n",
       "u7ufE3Q9QTKzRkAjd//GzE4D5gH94/H/BYCZ1XD37PD43xfA/3P3L4KuKyhmNhzoCiS6+1VB1xMU\n",
       "M1sDdHX37SfarqK0LA7fsOfuOcChG/bijrvPBHYEXUc0cPd0d/8mvJxF6AbO8n8QRpRw9+zwYlVC\n",
       "434nPDlUZGbWDPgZ8AagKSQjOAYVJSwKu2Evth68LGXKzM4AOgNpwVYSHDOrZGbfAJuBGe6+NOia\n",
       "AvQC8BCQF3QhUcCBaWY218zuPN5GFSUsYr8vTcpMuAvqn8D94RZGXHL3PHfvBDQDfmpmSQGXFAgz\n",
       "uxLY4u4LUKsC4Efu3hm4AvhVuCv7GBUlLH4Amud735xQ60LinJlVAf4F/MPdPwy6nmjg7ruAfwPn\n",
       "B11LQC4Ergr31Y8DLjGzvwdcU2DcfVP451bgA0Ld+seoKGExF2hnZmeYWVXgOmBSwDVJwCz0HNY3\n",
       "gaXu/mLQ9QTJzOqZWa3wcnWgF7Ag2KqC4e6/c/fm7t4KuB741N1vDrquIJhZDTNLDC+fCvQGCr2S\n",
       "skKEhbsfBA7dsLcUGB/HV7yMA74CzjSz9WZ2W9A1BehHwE3AxeHLAheEn4kSjxoDn4bHLNKAj9x9\n",
       "esA1RYt47sZuCMzM9/9isrsnF7Zhhbh0VkREylaFaFmIiEjZUliIiEiRFBYiIlIkhYWIiBRJYSEi\n",
       "IkVSWIiISJEUFiIiUiSFhYiIFElhISIiRVJYiIhIkRQWIiJSJIWFiIgUqXLQBYhUZOFZf3sC3wPt\n",
       "CD1XIyX8WY18jzoViWqadVakDISfpfF3oArwS3fPCz83YA3Q3d1Xmdkz7v5QoIWKREgtC5GyMZzQ\n",
       "YyrPcPc8AHfPNLN5wE1m9gnwdZAFihSHxixESln4aY0PA2MKeeb3FqAFcIO7/6vcixM5SQoLkdJ3\n",
       "FlAPSCnks1zgckLPBReJGQoLkdKXEP65vpDPcoGv3P3zcqxHpMQUFiKlbyGwAmh/aIWFXE+oC6pq\n",
       "eN35wZQnUny6GkqkDJhZO+BJYAlwgNAfZpOAjcAEYB4w1d0/DaxIkWJQWIiISJHUDSUiIkVSWIiI\n",
       "SJEUFiIiUiSFhYiIFElhISIiRVJYiIhIkRQWIiJSJIWFiIgUSWEhIiJFUliIiEiR/j8k5cE7OShp\n",
       "AwAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0xab65cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# example with a legend and latex symbols\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n",
    "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n",
    "ax.legend(loc=2) # upper left corner\n",
    "ax.set_xlabel(r'$\\alpha$', fontsize=18)\n",
    "ax.set_ylabel(r'$y$', fontsize=18)\n",
    "ax.set_title('title');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAr0AAAFwCAYAAAC1usMvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xd4FOXaBvB7CCQEEpoEsoFDR3qzHAsqsRGUY+FT8WBH\n",
       "7F1BwUrs4sGKior9HCk2sOCBWAjYK0iTXgInCU1KAoSSzPfHk2FnZmd3Z/vs7P27rlzk3c3uTmDY\n",
       "vffd531eRVVVEBERERG5WZ1EHwARERERUawx9BIRERGR6zH0EhEREZHrMfQSERERkesx9BIRERGR\n",
       "6zH0EhEREZHrBQy9iqL8TVGUOYqiLFEUZbGiKLfUXl6oKMpGRVHm134Nis/hEhERERGFTgnUp1dR\n",
       "lFwAuaqqLlAUJQvAbwDOBTAUQIWqqk/H5zCJiIiIiMJXN9CVqqqWAyiv/b5SUZQ/AbSqvVqJ8bER\n",
       "EREREUWF7ZpeRVHaAegH4Mfai25WFOUPRVFeVxSlSQyOjYiIiIgoKmyF3trShg8A3KqqaiWAiQDa\n",
       "A+gLoAzAUzE7QiIiIiKiCAWs6QUARVHqAfgMwH9VVX3W4vp2AD5VVbWX6fLAd0xEREREFCWqqgYs\n",
       "vQ1Y06soigLgdQBL9YFXURSPqqpltcMhABb5efDQjpZcr7CwEIWFhYk+DHIYnhdkhecFWeF5QVYk\n",
       "sgYWMPQC6A/gEgALFUWZX3vZPQCGKYrSF4AKYC2AayM4TiIiIiKimArWveFbWNf9/jc2h0NERERE\n",
       "FH3ckY3iKj8/P9GHQA7E84Ks8LwgKzwvKFxBF7KFfceKorKml4iIiIhiTVGUoAvZONNLRERERK7H\n",
       "0EtERERErsfQS0RERESux9BLRERERK7H0EtERERErsfQS0RERESux9BLRERERK7H0EtERERErsfQ\n",
       "S0RERESux9BLRERERK7H0EtERERErsfQS0RERESux9BLRERERK7H0EtERERErsfQS0RERESux9BL\n",
       "RERERK7H0EtERERErsfQS0RERESux9BLRERERK7H0EtERERErsfQS0RERESux9BLRERERK7H0EtE\n",
       "RERErsfQS0RERESux9BLRERERK7H0EtERERErsfQS0RERESux9BLRERERK7H0EtERERErsfQS0RE\n",
       "RESux9BLRERERK7H0EtERERErsfQS0RERESux9BLRERERK7H0EtERERErsfQS0RERESux9BLRERE\n",
       "RK7H0EtERERErsfQS0RERESux9BLRERERK7H0EtERERErsfQS0RERESux9BLRERERK5XN9EHQERE\n",
       "RERkl6KEdzvO9BIRERGR63Gml4iIiIiSjqp6p3ztzP5yppeIiIiIXI8zvURERETkSGqNij3b9qCi\n",
       "tAKVZZWoKK0A0C+s+2LoJSIiIqK4sgqzFWUVMi6tPPT97k27kZ6djmxPNrLz5Cvc0Kuoqhrd30K7\n",
       "Y0VRY3XfREREROQ8kYTZLE+W4c/svGxk5WahboZxjlar3zXX9Kr6Cyww9BIRERE5gN1WXImIV/EI\n",
       "s3Yx9BIRERElsUSEXi3MHgqy+jCruyweYdYu678nhaGXiIiIKBlYzWAar1drrw9+X8kYZu1i6CUi\n",
       "IiJKYnZDb+Xm3a4Ms5FQFIZeIiIiIsdTa1TUSZPMFiz0jjvsyZQJs3Yx9BIRERElUChlBvfvv09u\n",
       "E4XyhlQTcehVFOVvAN4B0AKACuBVVVWfVxSlGYBpANoCWAdgqKqqO0y3ZeglIiIiV4pFN4N69WVm\n",
       "lqE3dNEIvbkAclVVXaAoShaA3wCcC2A4gK2qqj6pKMpoAE1VVR1jui1DLxERUYpzchsuK4lszRXN\n",
       "hWypYM+ePZj00EPYOn8+Hikqim55g6IoMwC8UPs1QFXVTbXBuFhV1a6mn2XoJSIiSnFOCb2WYbY2\n",
       "0OrDbGV5JTIaZRwKs4YAq33vqQ2z9aNbM+uUv6tksGfPHtx52mkY/cMPaANAQRT79CqK0g7AXAA9\n",
       "AZSoqtq09nIFwF/aWPfzDL1EREQpLtazl8kQZu1i6LXvuTFjMGTcOLSpHdsJvbb+VWtLGz4EcKuq\n",
       "qhWK7l9FVVVV0c5YIiIioijQh1lzqUFlqe57P2E2p1sO2p/S3hFh1i6G2eDUGhW7t+zGxnk/Hgq8\n",
       "dgX911cUpR4k8P5bVdUZtRdvUhQlV1XVckVRPAA2W922sLDw0Pf5+fnIz88P8fCIiIgoFcy8caZr\n",
       "wywFp4XZYG9ydm/ajfpN6uPPilUoDPExgi1kUwC8DWCbqqq36y5/svaycYqijAHQhAvZiIiIUpe/\n",
       "mdkB958k1wcpb/jx+Z8OlRswzLpHqGE2UOmJtjAwLT0N9xcU4OGiokOPE43yhv4ALgGwUFGU+bWX\n",
       "3Q3gCQDvKYoyArUty8L8uyAiIiIHC6nMIDvDJ6zYdczNx8Twt6Bosx1mN+9G/ca+YbZFzxboOLCj\n",
       "T5i1q3m/figpKgqpxIGbUxAREaWgkBaAWYRZfYAJNDPLNlyh07fiStu3D9UZGWjerx+uGTsWmZmZ\n",
       "MX3sSMOsv5nZaNu7dy9GnXpqbLo3hIqhl4iI3MypK+3jFWbtcurfk1OZW3FpSgCMO+44jP/qq7CC\n",
       "rz7MBjovEh1mQ7F37168UliIrQsW4NFo9+kNBUMvERG5WbzDXDhhNlhoiUfNLENvaMytuPRKAHx0\n",
       "1124bdy4Q5e5McyGw86ObKwQJyIiikCwj+2D3j7CMNu8a3PpZhDnMGsXw2xots6f77dOtQ2ApZOL\n",
       "MHVZv6BhNtKaWTdyzv8KIiIiFyr/ozz4drZZ6UkXZik8ljOzuvNi0/drA94+q76CPlf0YZgNA//3\n",
       "EBERhUCbmQUa2vr56ZdMZ5hNAcHCrN2Z2d82eYCfVvp9nAYdctBtSLc4/mbuwf9lRERE8FNmEGBm\n",
       "FrjL1v1ev+j62B44xVQ4YVYfaA+VGegWBgaamW3903Eo+WmeZYnDegDN+/aN2e/qdlzIRkRErhZq\n",
       "mLW7AIytuJJbpGHWqstFNMoMzK24NJF2b3ArVVWxaNEi9OnTh90biIjIvmRaaa+FWfPiL/OCMH2Y\n",
       "jWZrLobe0MSr92xIYbZJfZ9tjs1vdBJRM6tvxVV33z4czMhA8759cW1hIQOvjqqquG7odaiYVYEp\n",
       "lVMYeomIyD4nhN5Eh1m7nPB3lSyi0XtWC7NBzwsHh1mKroULF+KJ/k+gS2UXFKKQoZeIiOyL5exl\n",
       "soRZuxh67QvUe3Y9gGk33obLrhrNMEuH1FTXYPfmwDP2y9cvx7qt69AbvRl6iYgoNOGE3pDCbHa6\n",
       "rdDCbgbJTz8z++SIC/D079/6/dmL63XGid3ukHMhL8v6HGnJMOsGdsJsRWkF9mzdg8xmmQGfL7Jy\n",
       "s3DnbXei8otKTKlgeQMREYXAbuidOmQaw2yKCqdm9o8Nz2Hi9mV+77NwwAAUFhfH75egqLMMsxab\n",
       "rOzZsgeZhwUOs9mebDRs2RBp9YK/yQllIRuffYiIUkygmVlgsK376HVxL4ZZlwl7AVjtzGzLXi29\n",
       "rblMM7P3F0wHivyH3oMZGfH6NSlEkYZZTz8Pss4MPczapSgKevfubetn+SxFROQSkZYZ5HTLsf1Y\n",
       "3c/rHsPfhKIplmHWrub9+qGkqIi9Zx1EH2bN50Zlqff7RIXZWGB5AxGRw4XUZzbCMgO24QpdvFpx\n",
       "mVmGWYsZOCcsAGPv2dBpH9sDQK9evaDYXDkZaZgNt8wg0RRFYU0vERHgzJX28Qyzdjnx78nJotGK\n",
       "yyyZwmwo2HvWPn3/WQBodEYjvDj5RezZsiflwqxdDL1ERLXiGeYsw6xFaKksr0RGowxHLQBj6A1N\n",
       "oFZcJQA+uusu3DZuHABjmA0UWpItzFJkrGZmF8xfgNmvz0aPAz0AAIuURWhZpyXaN2+fcmHWLjuh\n",
       "lzW9RJRSgn1sH/C2oYTZ7AyfF6TmXZuj/SntHb0AjGE2NFvnz7cMvADQBsCiN/+LSV93ChhmDTWz\n",
       "DLOuEUmZgZqmQqnjfa6q17Aeriq+Cv2O7JfA3yj5OevZlogowVbNWuXKMEuhszMzW7pwVcD7aJaT\n",
       "gTNeOINh1kXisQBMVVX88tcvWD57OQCg8aDG6HsEF/tFis/KRORa+plZINfWbX585keGWZcLqcyg\n",
       "cX2fNzkterY4NDO7+q6pwLw1fh8ro3UztD6mdRx/OwqXk7oZKIqCl997OayFbOQfn72JKOmEU2YA\n",
       "XG/rvi+ZfUlsD55iJpph1u7MrOe4o1Ey72u24nKwkMJss0yf8yK3by6yz8yOSpgNRSj9Z8keLmQj\n",
       "IscIJ8z6W8yhbVGpzcyyFVfyCqmbgUWY1Z8j0S4zYCuu0ITbhstKpGHWfF6k6gIwN1i7di06dOjA\n",
       "7g1EbpcMq+1jGWbtYugNTTx6zzo5zIaCrbjssWrDNXHaRJ/gG9IOYAyzKaPmYA0qN1X6nBerVqzC\n",
       "f6b/B/P2z2PoJXK7RIbekPrMZqXHJMzalQxvDpwi0t6z4YTZYOcFF4AlvwXzF2DciePQdXdXAMDS\n",
       "+ksx8IqBaFHTwm+YDXReMMy6g78wa36+2LttLxrkNPC+ya3dMXBX+i48P/55fLX9K4ZeIreLxQxm\n",
       "MoVZuxh67QvUe3Y9gH9ffgMuHHobwywBsD8zu2bzGpRXl6M3pE51Sb0lGDh8IPr07cMw60KRhlnz\n",
       "80bDFg1RJ62O5WOxvIEoRYQSet0YZily5pnZF+68DM8t/dHvz1+e1Q2n97+HYdblol1m0KBFA9x4\n",
       "8Y2omF1b3jDIuryBnC2eYTYU3JGNKAXYDb1P/+0ZyzBrfmFimHUPyzIDqzc5ppnZHxc8gRc2LfF7\n",
       "v4UDBqCwuDh+vwhFlWWYtTgv9mzdg8ym0a2ZjeZCNoouyzBrcV7s/WsvGjSPX5i1izuyESU5bWbW\n",
       "/G5a/6QEXGXrvobPG84w6xLhhlntRelQay4/M7PLC/4NFPkPvQczMuLxa1KIQgqzzWLbZ9YftuGK\n",
       "v0jDbKujWyU0zEYTX/2IEsBOmA1UZnBo0wRPNtDf3mM2adcktr8URSycMBtpn1krzfv1Q0lREXvP\n",
       "OkQyhFmKjbVr1wIA2rdv73Mdw2zoWN5AFEWRhtlwambZiis08WjFZaaF2aDnhUNac7H3bOjC+dg+\n",
       "0jBrfs5gmHUHLcwu+WUJ7r/yfqjVKkZcPgJZe7OSoswgUVjTS0nLaSvtExFm7XLa35WTRdqKyyzZ\n",
       "wmwo2HvWPp/+swWN8OTzT2J3+e6A54VPmNWFFv250bAFw6wbhDozu++wfShaWQSljoJrrr4Gh/c4\n",
       "PCXDrF0MvZS04hXkwgmzwUJLvGtmGXrtC9SKqwTAR3fdhdvGjQstzDapH3QGzklhlsKnzcyaz4uF\n",
       "ixbimxnfoGd1TwDAQixE22Zt0aVNF4bZFBDLbgaByhvIiAvZKOkF+8je7+3MYbb2SUf/pFRZVonK\n",
       "8krLMHuoZjaBYdYuhln7tsyfbxl4AaANgAUvf4an323pN8y27NUyKjWz5CxhlxnUhpacrjlyHuyV\n",
       "+8vIzsAVc67ggq0kF2mYjUbNLMNudDnzVZzIpvlvzvcfZrPTfUJLTrecpAmzZJ/dmdmN/1se8H48\n",
       "HRthxIwRDLMuEWmYNSwACzAzq6oqipcXY/lsOb8aDWqEXr16xfvXJZv0YdZ8blSWer8/FGZN50Wr\n",
       "o1v5zNizzCA58NWeHME8Mwt0snW79XPXM8y6WKRlBuaZ2X+NmAV8ud7v46XlNELjNo3j+BtSOELa\n",
       "NOGw8MOsXYqi4OX3Xmb/2QRjmKVgmAoopkKqmdXNzNoNvee+dW5sfwGKiZBac0WxzCDnyCNQ8uUX\n",
       "bMXlUE4Ls6Fg/9nYiXqYzWmIOnUZZt1i1qpZtn+WC9koLOGG2UALffQzs2zDlZwiDbOxXgDGVlyh\n",
       "idbuWfowGyi0+IRZtuZyJW1xVpvWbbB7027L1w79OeIvzPosDGSYTUmqqqJodREGdR7E7g1O4/SV\n",
       "9lqYDRpawgyzdjH0hi6W/Wctw6zFDFwydDNgKy57fNpwndEIE6dNNARfhlmyUn2g2m+YXbN6DT76\n",
       "9iOo1SqOrnM0WrVoFfy8aMEwS8GxZZkDJSr0hhRmHdCay+lvDpwm3P6zbgqzFD011TX4qfgnPH/2\n",
       "8+i6pysAYGn6UvQ/qz9y9uUwzKaoQGE24Mys7rzYoezAuLvHQUlT8NK3L6Fj546J/rXIJRh6HSja\n",
       "M5jJFmbtYugNTaD+s+sBTCy4DGccf6V1mE2yTRMofKHMzG5vtB0l20vQS5UuBEvTl+LcO89Fv6P7\n",
       "Mcy6TNg1s2HOzLL3LMUCQ68D2Q29NdUWYdZiBq6yvBIZ2RlJE2YpMv5mZidPuh2vbJzv93bX5PXF\n",
       "P4c/xTDrUiGVGTTLDPp80bClhJbrhl6Hitm15Q2DfMsbyNniHWaJEombUySxR+o/Yhlmk2nTBLIv\n",
       "pDIDi5nZhvUD339e58Y45ZFT4vPLUNREGmZz++Yi+8zssGdm2YbLmUIKs80b+JwXeUflGd/kMMxS\n",
       "imBaihLLMgOL0ALcbuv+7t51N8OsC0QaZlv0bGGrNdecX3KAVf6P42BGRgx/SwpVosOsXWzDFV8M\n",
       "s0SxxVQVhN0w66/MwDwze4fNEiYGXmcLJ8zqPzI8FGa1jxMjLDNo3q8fSoqK2H82wULqM5vAMEux\n",
       "4a9WNaTtbBlmqZbWf7agYwFmr54NABjUaVAiDynppWxNb6RhNtyaWbbiCk0s23BZiTTM6uvfohFm\n",
       "7WL/2dCE2n82nDAb6LxgmHUHfZhdtmAZHhv1GNQaFcMGD0PDioZBw6xPLTXDLOlo/WfHfDUGT5z6\n",
       "BAZ2HMgSowASvpANMN53PIJcosKsXexKYF+4bbisJGuYDQX7z9pj7j/bIL8BHhz7IHaX72aYJQDh\n",
       "zczubbIXM36YASVNwa1jbkXX3l0ZZikqCosLUZhfmOjDcDxXhV6nh1m7GHrtC9SGqwTAR3fdhVsf\n",
       "f8L+DmBJGmYpdJYzs7XnwtJlS/Hrt7+iZ01PAMBCLET3Lt3RtUNXhlmXi7TMINjMLFtxUSww9NqT\n",
       "8O4N2mNrH9lb/kwoYbZRhk9LlZxuOUnVzYBh1h61RkX5T79aBl4AaAPg1+dm4JFnsnzCbJYnK+o1\n",
       "s+QMgcKsnZnZ3L65qOlegwW/LgD2yH1mZGfggvcu4IKtJOaUmlmGXYqF/Hb5iT4Ex7ritiuwbsc6\n",
       "2z8f13Q475F5rg2zZI9lmYGfmdlN6pqA99Wubw7umXcPw6wL2A6zW/cgs6l1mM0+097MrKqq+Pzb\n",
       "z7F89nIA0n+2V69e8fx1ySbLMGtxXvjrM9vq6FbsM0tJj6HXv3U71mFu+7m2fz6uKfLAngMMsy4V\n",
       "Spi1282g8KxvgaK1/h+0cUMGXocLJ8zGupuBoijsP5tgtsPsX7UzswyzRBQFcU2bpz52ajwfjqJA\n",
       "C7PmjwzNHyPGojUX23A5lxZmg50X8QyzoWD/2dgIO8zmZSHbYwqzedlomMMw6zZsw0WJFOOWZdr3\n",
       "bMNlFu9WXGbhhNlgCwOjPevKNlyhC7UVl1lIYbZZZvBtS7kALOmtXbsWNQdrkNMgJ+wwaz5HGGZT\n",
       "F9twUTTlX5HvLW8oRGK7NzD0WotmKy6zZAizoWAbLvvMrbgandEIE6dNhKIoDLNkKdjM7Np1azHr\n",
       "z1lQVRUn5ZyEdn9rFzjMtmiIOmkMsxQcOxJQNIQaemNa3hCoa0Mqm/TQQz6BF5COBKN/+AGvFBbi\n",
       "tnHjDNeFFGab1Pd5QWrZq6Wt7WydJjMz0+fvgrz0YfaX737Bjk93oPu+7gCAxR8txtgeY9F4R2Pf\n",
       "MFsbWjz9PMg60xhaGGaTX7TKDDqoHTDv6nlQ6ii4+vur2Z2AiBylXZN2QO3Sn7kIvqCNK8gSYOv8\n",
       "+QFbca348Gt8tuuzQy9WlWWVqNxU6aowS4GFMzO7PWs71BrvG8209DSceN+JOGbAMQyzLhFSa64c\n",
       "GzWzNmZmX+71MgC246LoYkeCwPy14mrXpB3eevatuB+PU+n/LpS3g5fJxLhPbyzv3dkCzcxu+21D\n",
       "wNvWO7CfYdalQupmEOLMrFbeoLXiajKoCU4bdhrr5ZJA1MNsFGtmGXYpFhh6A/PbiitAQyMKjjO9\n",
       "IYpGmUHGj02Bbf4fI7trLo6+4ej4/VIUsViGWbvYist59GHWfG5Ulnq/T0SYJSJKNQy9tULqMxth\n",
       "mcH3JSeiZMH3bMWVBCzDrMUM3J4te5B5mO8CMEOYjcMCMLbiio+wwyz7zLoWW3EROV/Q0KsoyhsA\n",
       "BgPYrKpqr9rLCgFcBWBL7Y/drarqrFgdZCTiGWbtumbsWIyaN8+ye8OTxx2H8YWFEd2/20TahstK\n",
       "soVZir61a+VzQv3H9wyzFK6CjgUoWl2EI1494lArLiJyFjszvW8CmADgHd1lKoCnVVV9OtAN7y8o\n",
       "iFnvWcswaxFa/LXmOrRpQgJqZjMzMzH+q68sW3GNZysug0BtuKzow2yg0MIwm1rMYXb5ouV4btxz\n",
       "UKtVnHPMOcjckckwSxFRFAUFnQrww8YfUNCpINGHQ0QWgoZeVVW/URSlncVVQafbHi4qQklREUbN\n",
       "m2e796w+zAYKLU4Ms6FgKy57Fi1ahIpZFehS2QUAsOzzZfh0wqdoVb8VwyyFNjPbvMGh54vKhpUA\n",
       "gDr16qDXRb3Q7YhuDLNE5Bj6Vlw+l5PBzC9m4vnJz9v6WVubU9SG3k915Q1jAQwHsBPArwBGqqq6\n",
       "w3SbQ/dcAuDDO+/E1SMfCCnM+muMH+p2tuRcwWZm/1z1J5YsX4LeqtSpLq6zGEcefyS6d+luuZkG\n",
       "w6w7hBtm/W2yYhVmrcobiCJVvK6YnQn8YBsuiraZX8zErS/eitX9VkdvRzaL0NsC3nrehwF4VFUd\n",
       "YbqN4Z6HoSOOaH4tw2yKCKnMoFmm39CS5cnCAw89gKp5VQCARoMClzeQs8UjzBKRMxl2z9IZsHYA\n",
       "it8qjv8BUdIrGF6AonZFMiiM0Y5sqqpu1r5XFOU1AJ9a/Vyh7vv0Xg1x58I7w3k4cpCQFoBZhNnc\n",
       "vrnIPjO0mdnXP32dbbgcLtIwm3dUHsMsERHZVlxcjOXzl4fUuzis0KsoikdV1bLa4RAAi6x+rlD3\n",
       "/X2e3HAeiuIkEWHWLrbhSpyQNk1gmCUiojjJz89Hl35dsL7derkg+C7EtlqWTQEwAEBzRVE2ABgL\n",
       "IF9RlL6QLg5rAVwb6D7YezZxwgmz+o+QD4XZ2vIT1sw6n51aVYZZsoO9Z4nIyW656BasfnG11PTa\n",
       "YKd7wzCLi9+we0DsPetfJP1nGWbJyuqVq3HDCTdArVYx+vHRaFzdOGiY1Z8Xh8Ksdl4wzKY09p4l\n",
       "IicbfPpgAMCEKRMwG7OD/nxMd2S7b+BA9p71w1//WbVGtbedLcNsSrGcmbU4L0q3lmKPugdKHQWL\n",
       "pixCx04dGWYpbOw9S9HENlyh0Vpx7VP3IUPJwC0X3XIo5JHX4NMHY/Dpg6G8GXziMKah95HZwVN3\n",
       "qjDPzP7+8+/Y8ckOdN/fHQCw+MPFGNViFJrsaMIwm0LshtlQZmbXb5D6JrbiIiInYVsy+wytuGqt\n",
       "flG+Z/ANX0xDbyqwLDOwmpndugeZTb1hdlv9bYb7qZtZF+dNPg/H5B/DMOsC4YTZaNXMMuxStLHv\n",
       "bGDsP0vR9vzk533qVFf3W40JUyYw9EaAodePcMOs3ZlZVVWxZOgSLJ+9HADQeFBjHHfacWzH5XCJ\n",
       "DLNEicLQG9i6Hess+8+G0kqJSG+fus/y8qqaqjgfibukXOiNdZi1S1EUvPzey+w/6xC2w+xftWHW\n",
       "tM1xq6NbGTZaYZglIqJwZSgZlpfXr1M/zkfiLq4JvU4Js6Fg/9nY08KsucOFuesFw2xqYSsuInIy\n",
       "q1ZcHX/viJtvujmBR5X8Yhp6VVWNePYyGcMsRZ+59yzDLEWCrbiIyMn0rbiqaqpQv0593HzTzazn\n",
       "jVBMQ+/1F16PidMmWgbfcMJsvHYAo8SxCrMrlq7ApNcmoaamBgM7DkTGtgzfMJuXhWyPKczmZaNh\n",
       "DsMs+WIrLiJyOq0VF0VPTEPvjs92YNrYachNy2WYTXFh18zmZUGpr6BOvTpIS0vDqY+fih5H92CY\n",
       "JSLHYP9Z+9h7lhIppqG3en81Ni/ejJY9WzLMulQkYTaUmdljbzsWANtxUXSxK4F/bMNlH/8+7GHv\n",
       "WYq24nXFKF5XbPvnFVVVY3IgiqKo115wrd/yBnK2SMOsubaaM7NEySX/inzLNlwD1g5A8VvF8T8g\n",
       "SnoFwwtQ1K7I9/L1BZj1xqwEHBG5iaIoUFU1YOCM6UwvA6/zWIbZ2kDr02c2hwvAiIgoOth7lhIt\n",
       "pqGXgTd+GGaJiMjJ2HuWEs01fXqTlbkVl5k+zJpLDSpLvd8zzBLA/rNE5FzsPUuJxtCbIDUHa7D4\n",
       "l8UYddYo1NTU4OY7bkaj/Y0YZiki7D9LRE7F3rPhKV5XzEW3UcLQG2WhzMzubboXVTurUCetDjYv\n",
       "3ozGXRszzFJE2H+WooVtuELDVlz2sPds6Bh6o4eh16ZYlRkEK28gIkoEtuGyj624iJJDyofeRNfM\n",
       "MuxSLHBWwD/2n6Voe37y84bACwCr+63GhCkTGHopLPr+sw/OffDQ5fnt8vn8HgHXht5Eh1miROKT\n",
       "on/rdqyz7D9r9VE+kR1sxUXRZg63hfmFCTsWN0m60MswS0RETsJWXETJwTGhN+wwG+J2tpR82IaL\n",
       "iJyMrbgolvjJXfTEPPQyzFKk2IaLiJyMrbhCx44E9vHvKXpiGnrvybkHmTsyGWYpImzDRUROx1Zc\n",
       "oWHoJTuqq6uxefNmlJaWoqyszPBnaWkp3nnnHTRt2tT2/cU09A77bBh6HNmDYZaIHIP9Z+1j71ki\n",
       "irUvv/wSa9asMYRZ7ftNmzahpqbG5zYtWrSAx+PBzp07nRN6ex3TK5Z3TymGswKBsRWXPfy7sIe9\n",
       "Zyna2IbL/fQzs4cffjiys7OD3mb06NH4/fffAXjDbF5eHvr27Xvoe+3PvLw8tGzZEvXq1Qvr+BRV\n",
       "VcO6YdA7VhQ1VvdNRL7yr8i3bMU1YO0AFL9VHP8DoqRWMLwARe2KfC9fX4BZb8xKwBGRmxQWF7IN\n",
       "l4sMHz5NDkCeAAAgAElEQVQcs2fPNszMzpkzB/n5+UFvu2LFCjRo0CCiMAtIKaSqqkqgn3FM9wYi\n",
       "InIO9p4lcr9gNbP33nsvjj322KD306lTJ6SlpRlmZnv27GnrGA4//PBIfw3bGHqJiMgHe89SLLGc\n",
       "IX5+/vlnLFiwIKya2YqKCluPce+990b7sGOCoTeB2H+WiJyKvWcplhh6w6PNzJaVlaFly5Zo1apV\n",
       "0Nu89tprmDRpEoDY18w6HUNvArH/LBE5FXvPhoetuCgWxo0bh+eee84wMzt+/HiMHDky6G0LCwvx\n",
       "wAMPuDrM2sXQm0DsP0vRxFZc9rEVlz3sPRs6hl7S08/MmksLysrKMGTIEAwfPjzo/bRr1w5nnnmm\n",
       "YWa2b9++to4hLy8v0l/DNRh6iVyCrbjsYSsuIoqm5cuXY+7cuZYLwYLVzO7du9fWY1x44YW48MIL\n",
       "o33oKYeh1wE4K+Afe89StD0/+XlD4AWA1f1WY8KUCQy9FBb2n3UP/cxsZmYmunXrFvQ2c+fOxbXX\n",
       "XgvAWDPbp0+fQ3Wy+hna3NzclC8zSBSGXgfgk6J/63ass+w9a/UxPpEdbMVF0WYOt+w/m3w++eQT\n",
       "XHfddYaZ2WHDhmHy5MlBbzt06FCcccYZDLNJgKGXiFIKW3ERuUewmtlu3bph3LhxQe+ndevWPjWz\n",
       "dvvHNmnSBE2aNIn0V6E4iGno1VpysQ0XETkFW3FRLPGTu+jbtGkTPv7447BqZjt16mTrMY444gi8\n",
       "9tpr0T50ipZdu4CsLKBOHRk/9xxw7bVA/drJiqOOsnU3MQ29ChS24SIiR2ErrtCxI4F9/HsKTL8D\n",
       "2L59+3D88ccHvc3GjRtDqplt2bIl0tPTY/2rUDR9+y1w5JFAZqaMr7sOeOQRoHlzGXftCvz8M9C6\n",
       "tYyfeQY46yygQwcZ79xp62FiGnrZhouInIituELD0EuRWrVqFU466STDzGznzp2xYsWKoLft1asX\n",
       "SkpKGGaTya5dEmC1GudJk4BzzwVycmR82mnAyy8D2kz8NdcA770HaFsX//ADsGGDN/R27gxs3eoN\n",
       "vbffDmToStW++gpo2zboYbGmlxyNvWdDw/6zRBRNwWpmVVXFp59+GvR+mjdvjjPOOOPQbKzH40Gb\n",
       "Nm1sHUN6ejr+9re/RfqrUDT99BNw+OFA06YyHjMGuPJKuQwATjkFeOkl4O9/l/EbbwDdu3tD7/79\n",
       "wMaN3tA7aBCgqt77f+YZQH9+zDUtaL/1VuPY5rnE0JsgbMVlD/8u7GP/WYomtuFKHfv378dbb70V\n",
       "Vs1su3btbD1GkyZN8Prrr0f5yClqdu0C0tO9NbJTpgDHHOMtH7joIuD664ETT5TxvfcCo0cDp58u\n",
       "4z/+AFat8obeTp2MJQfXXOMNvAAwdSrQrJl3/PTTxuM55ZTo/W46DL0JwlZcFG3sP0vRxDZcyUk/\n",
       "M1tWVobBg4P/369Tpw6uv/561NTUsGbWrebPB3JzAY9Hxk88AQwYABx3nIwvuURmas89V8YffADU\n",
       "resNvTU1Um6gOeUUY3nB2LGAfjZ+6lTj45t3nUvQLnEMvUQuwf6zRKlLVVV06NABJSUlhpnZXbt2\n",
       "ITs7O+Bt69ati5KSEuTk5DDMJovKSvkzK0v+/PhjqWnVtia+9VaZlT3/fBk//bTU0V5+uYxXrJB6\n",
       "WS30duzovU8AuPhiY43shAnexwKAe+4xHs+xx0bn94oxhl4il2D/WYoVljPEjrlm1qp2dvbs2Tjs\n",
       "sMMC3o+iKDj//PNRv379Q7OyeXl5qF/f3v//Vq1aRePXoWhZulRKDbSZ1pdflkVc//iHjEeOlIB7\n",
       "/fUy/uILKS3QQm9aGrB+vff+TjgBaNzYO771VqBRI+/4mWeMj/9//2cc60sTkhhDL5FLsP8sxQpD\n",
       "b+SmTJmCFStW+CwEKy8vt6yZzcnJORRcq6rsfVrzr3/9K9qHTdGyezdw8KA3eH71lXQ2OOkkGT/6\n",
       "qFx3000yfvttWSQ2ZoyMN24ENm/2ht4OHYC9e733f+65UpOruf9+47i25dshffpE73dLIgy9RC7B\n",
       "/rOhYysuCpW+z2xZWRn69++PptoK9gDGjx+P33//3RBmtZpZ/cwsa2aT1KpVwL59QI8eMp42Daiq\n",
       "8pYTjB8PVFcDDz0k459/loVeWujNyADW6hb1HH20sdzgssukrlYzerTx8U87zTi2cU6mIobeBGEr\n",
       "LvvYhss+9p8NDUMvheKss87C559/bpiZ/frrr3HyyScHvW1RURGys7MZZpPFnj0yk6qVlfz4o/SJ\n",
       "1WZaX31VygcefVTGM2dK8J0wQcbbtgELF3pDb/v2wJ9/eu//1FPlZzTXXgsoines1eJqbG6JTIHF\n",
       "NPTmX5EPgG24rPDvwx624SKiSNipmX3qqacwYMCAoPc1aNAg9O3b19DJoIc2sxdEsJpcirMNG4BN\n",
       "m7zb1xYVAYsXA3fcIeN335Wgq7VZW7YM+Pprb+ht2BBYs8Z7f336GGdizzpL6mg1l11mfHytf60m\n",
       "yGJDio6Yht5DLbnYhovCxDZcFG3sP+tOs2fPxo8//hhWzWxaWpqtx7jxxhujfdgULVVVUi7QsqWM\n",
       "Fy+WmdaLLpLxxx8Dn3ziDbE//CA7gH3wgYx375YNELTQ27athF7NscdK0NUMGQKcfbZ3nJ8vX5q/\n",
       "/c3YwoscgeUN5Ghsw0XRxv6zzmaume3SpQs6d+4c9HYfffQRXn31VdbMutXmzcDy5d7NEX75BZgx\n",
       "w1te8NVXwIsvAp9/LuP//Q94801v6M3OBlbrJlC6dvXW3wIyK6sPqQMHypf+57t29Y4bNIje70aR\n",
       "e/ZZWz/G0EuOxjZcRKnj3nvvxRNPPGGYmf3Xv/6FUaNGBb3t+PHjMWHCBIbZZLF/vwTZ1q1lvG6d\n",
       "BNYbbpDxDz8ADz/sDbErVkgng+++k3FNjbTp0kLv3/4mmyloevaUXrOaE06QmV5N797ypcnJcU1b\n",
       "rqS2YwdQWipfJ5zg3SFOc/TRwH//Kz2G9Wx2LmHoJUdjGy6KJZYzRM48M2uuly0tLcUVV1yBm28O\n",
       "/n/2+OOPxz333GOYle3UqZOt4wi2AQPF2c6dUh5QUCDjVauAJ5+UBWCAlB9ceSWwYIGMKypkplYL\n",
       "vc2ayW007dt7628BmaXVz+717m0Mta1aAVdc4R2npxtbeFFiTZwIXHihcStiADjySG+t9LJlQJcu\n",
       "xuurqiQQm0PvqFHe0pQAGHrJ0diGKzzsSmAP/47s++233/DZZ5/5BNpNmzYFrJn1eDy2WnoBwODB\n",
       "g21tm0sJcPCgLP5q317G27YBkyZ5+8iuXg2cd543xG7dClx3nbcNV0aGdDjQtGoFZGZ6x+3aeQMv\n",
       "AHTqBPz6q/Hnn3vOO87KAo4/Pmq/HoVpxw4p9TC/oRg5EvjpJ6CsTOqpe/Y0Xv/66xJwzQv6Dj9c\n",
       "Zuzz8qTFm9msWdYz8rffbiv0KqqqBv2hcCiKog64XFbDsnuDNbbiolgpLC5krSpZMs/MHnbYYThO\n",
       "24o0gFdffRXXXnutIczqZ2T1f7JmNglVVcnHxkOGyPivv4CrrgI++kjGZWWy29emTTLetk2C6fbt\n",
       "Mt61S4KK1lt2714JvW+/LeODB4FvvzUu9iLn+/lnqaUuLZWZ2XbtjNefcALw2GPefsOaU0+VbheA\n",
       "nFeDBhmvf+MNuY3NT3LsUBQFqqoqgX4mpjO9xW8Vx/LukxpbcRFRvE2dOhUXX3yxYWb2n//8p63Q\n",
       "e9lll+GKK65gmE0WNTVSHqD1d923DygsBB5/XMa7d8uuXlqIVVVg2DAJq4oiM6mffSazbWlpQIsW\n",
       "8lG0Nm7WDLjvPrmdoshCsf/9zzvOzPQGXkBm7xh4E0tVZWY2I8N3Id4jj8jCPfPM64MPeuuqu3Tx\n",
       "Db2dO8sbHrNHHpG67bw8oE0b3+uvvDLsXyMSMZ3pjdV9u0HB8AIUtSvyvXx9AWa9MSsBR0TJztyK\n",
       "a+yAsQDYiivZ6Wdmze24tMuOPPJIvKrVSgawePFiTJs2zTAr27ZtW7TU2jyRs2mvqYoi30+eLN0J\n",
       "FEVC7mmnyeKutDQJp/XrS7hNT5efz8yUmdnMTBlnZ8sMXqNGcr9XXgm89JJ38dC8eUD//nJ/lBwW\n",
       "LJANNczt0m64QbpZVFUBU6fKrK3epZfK+aNtpqF56ing998Bj0d+xsHbFyd8ppf8Yysuija24kpu\n",
       "JSUleOONN3wWg/mrmW3RosWh8Npeq7MMomfPnuhprq0j51i+XD7u1ULmmDHA2LHe2tfcXGDlSgmp\n",
       "igLcdJN8bHzYYUCdOrI4bMsW+bm0NOCYY2RBWU6O/Pyzz3o3UFAUoLzc2Hv2jTeMx2P+yJoS79NP\n",
       "gS+/lHKT4cOBM84wXv/ii9Lh4JprjJenpUngzcqSN0JmI0dab108cmT0jt0BGHoThK24iNzJvANY\n",
       "TU0NztY3sfdjy5YtePDBBw19Zvv27etTN6vVzNarVy8Ovw1FRD8zCwAffighVQuaQ4ZINwNtYc4p\n",
       "p0jHA22WbupUCS8dOsi4USMJO/qZ2QMHvI/32WdAkybe8bffGo/nuuuM46ysyH4/Cl9FhSwMLC2V\n",
       "j//N2wwXFsqbF/O/2bx5wPPPy/f9+vmG3v79rXd3e+ghqb311+Wkb9+wfo1kw9CbIGzFRbHEcobE\n",
       "WLZsGXr06GGYme3cubOt0Nu3b1/s27ePNbPJZNUqYxeCxx6TIJqbK+M+fYD33/e2Xbr/fvlem21f\n",
       "swbYuNEbeo891rsQDJAetPqQ8scfxo4HTz1lPB5zPSYl3pw5Mrt+6qnGy598UupeAeCBB6R2Vi89\n",
       "XXoXm511lpQaeDzGFm4afZs2PZsdVNwuaOhVFOUNAIMBbFZVtVftZc0ATAPQFsA6AENVVd0Rw+N0\n",
       "HbbiCh3bcNnHvyf7gvWZLSsrQ1paGn766aeg95WXl3eoz6w2M9uqVStbx5GWlmZ7O1yKEfPM7MyZ\n",
       "8lFxixYyvuoqaYvUvbuMhw2Tj5O1sPnZZ8CAAd7Q27SpzORpofeiiwD9DP0773hncQGZCdbTb64A\n",
       "cBewRNq9Wxb5mfvDfvgh8Mwz8u986aW+4XX+fKCkxDf0tm8vs7t5edbbFd98s5SsmJ10EstOImBn\n",
       "pvdNABMAvKO7bAyAL1RVfVJRlNG14zExOD5XG3z6YIbcEDD0UiSqqqrwxBNPhFUz2868YtmPRo0a\n",
       "4eGHH47ykVPUrFsnXQe08oAJE2TxTrduMi4oAO6+Gzj5ZBk/8wxw113e7WhLS6XvrBZ6jz5auiJo\n",
       "Ro82BpjZs2WlvOa++4zH4+BFQSln3Trgm2/k3/jww72t2zRvvw0sXAi8/LLx8h07vLvEaT2J9U4+\n",
       "WbpamF15ZeAOBtxsJSaChl5VVb9RFKWd6eKzAQyo/f5tAMWwCL0FwwvYe5aIospcM1teXo4RI0ZA\n",
       "UQIu2kW9evXw6KOPolmzZodmYfU1s+Y+s6yZTQKqKl/ajNhXX8nMqbaw7847gcGDva2ybrlFgsa5\n",
       "58p47lygZUtv6D3sMKmZ1fzf/xk/Fn76afl5zUsvGY/nnHOMY/MWqhQfWmuuffu8s+6ar7+Wuul7\n",
       "7jFe/t13wGWXyfdDh/qG3nbtgEWLfB/rjDOA4mIpN8jL872+Xz/5IkcIt6a3paqqtc39sAmAZb+b\n",
       "onZF7D1LETG34dKwDVdqUlUVjRo1wp49ewyXDx06FI202Ts/0tLSsGfPHobZZLJhgwRHreb1rbek\n",
       "VEDrK3z55bIw7KKLZPz227IYTAu9f/0l3Q600Nuvn7eEAQCuv15qcjVvv20sP9DvEAYAXbtG6zej\n",
       "SJWXy7/tiScaL//vf+XNSlUVcPbZshuY3r598mbHHHq7d5dylbw8mcE3O/NM+TLLy7MOuxQ/qir/\n",
       "122IeCGbqqqqoih+G/Ku7rcaE6ZMYOilsLANV/KzUzNbWlqKhQsXorm5Xs5EURQ8+OCDaNCggWGG\n",
       "NsvmKnQG3gRTVVnUo9Uuf/+9lBpoC7vGjZOZ2gsukPGjjwK9e3vD52+/SQsuLfQ2by7hR3PGGcYt\n",
       "Su+7z9iSy1xvaa6z5CJC51i9WroUlJVJyYh50d6ff8q/Z3Gx8fImTSTwZmcb38BojjlGziuzfv2k\n",
       "7zE5hxZmy8qk7KS01Pu9+bL9+23dZbihd5OiKLmqqpYriuIBsNnyp+bIH8t2LENxcTHyuRsLkas9\n",
       "++yz+PPPPw1h1k7NbN++fVFttc+6hVGjRkX7sClaysok1Gqzp9Ony0yt1lZpzBgJpdq/4SefAI0b\n",
       "e0NvRYWEGU2vXsbgcvHFxhrZJ580bpwwbJjxeGz2L6YY2r9fulyUlsqGGQUFxut/+03OhzlzjJfv\n",
       "2uVtzWXVW7pjR+vuBUcdJeeRvzfCzZrJFyVOlMJsce0XAHnDaiP4hht6PwFwOYBxtX/OsPyp2rUA\n",
       "Xdd3ZeCliLGcIT6sZmbPPfdctNBWsAfw7rvvoqSkxBBm9f1lWTObZFQVOHjQGzznz5ePh489Vsav\n",
       "vSbjG2+U8aRJ8sKjtWJatkxqK7XQm5MDbNbNkeTnA/pSleuvN65Y1+5Xoz2upi67bjrG5s2y49fo\n",
       "0cbLV60CevSQ7zt3BlasMF5/2GEyq2vWoYPM7no8QNu2vte3aQOMH+97eb161jO8FHsxmJlFo0be\n",
       "EhKtbrr2z/y8PORr7dsaNsSDQdZ1APZalk2BLFprrijKBgAPAHgCwHuKooxAbcsyf7dn71mKFobe\n",
       "+BgwYAC+01Yj1+rcubOt0PvTTz+hjlWbHXKmzZulFZM2I/rVV8CmTd4a2Weflbrap5+W8bx5EmK0\n",
       "8Ll/v3FxT7duxgBz1lkyY6e5/XZjqB00yHg8Ntu7UQwdPCidDDp1Ml6+eTNw3nkSWurWld3j9Gpq\n",
       "JKSaQ29enrc1V8eOvo/Xpg2wZInv5Y0bS3s4Srw4h9lD39eG2WhSVNVvOW5kd6woasHwAtw8jL1n\n",
       "g2ErLoqE1cysVe3sW2+9hYFa66UApkyZgu3btxtqZnNzc1GXs2rOp6qyQ5dWm7psmbRL0mpXp08H\n",
       "Fizw1rZOmiQr2V9/XcZvvSWr29+p7VA5ebIsDPr3v2X8449yn1oD/K1bpXepVZ9Rcqb9+2Wnt7Iy\n",
       "qY9+7DHj9Tt2SBDVv1kBZEZeCyB168oMv/4NTHW1lCPcdpu3zzE5m4vCLCBrPlRVDXjyxTT0xuq+\n",
       "3aawuJALtMiWqVOnYs6cObZrZvWlBTfccAOOOOKIBBw1Rc327TITq3UR+OUX+dIWek2dKqvVp0yR\n",
       "8XvvydcHH8h4xgzgjTeklhaQRUAzZwL/+peM166VXcK0kFxTIwGGIcaZtNZc5eXetmuagweB00+X\n",
       "NzH6f7+DB+VNkfb6vH+/sRxAVWVL2p9/NtZPA9LHtmVLCS3sI+tcLguzdtkJvZy6IYozq5nZY489\n",
       "Fr179w5627lz52LGjBmWNbP6P3Nzc1kzmwxUVWbMtH6uJSXA7797+8h+843Mtk6cKOPvv5cdwD7/\n",
       "XMY7dgAffeQNvS1bAtu2ee+/d29jd4NTTpFAo8nP97bzAqTMQb/4i6UqzjB5svSO1X/aoqqyIGtH\n",
       "7Wao5sVbdevKrP5ff0ndrP7ya66Rn83LM9ZsAxKQ//jD+jjM7cEovlI0zEYTZ3oTxNx/duyAsQDY\n",
       "fzYV3HLLLZgwYYLhsieffBJ33nln0Nuqqhp0EwZykIoKmTnVdt5asUJmXrWduYqLgbFjpW8oIA3y\n",
       "R40CfvhBxj//LIu5fvlFxkuXSt2kVo6wZYv8zODaEjLzNrrkLP7+fe65x9vh4JNPfLsLeDzS5cDc\n",
       "D7ZdOwlBHo/M6Jpron/+Wc4984wtOQvDbFSwvCFJsLzB2ezWzN5yyy0YMyb4btzz5s3DkiVL2M0g\n",
       "Gamq1LA2aCDjLVtkq9lLLpHxn39KoP3wQxnPny/1r9rM2eLFMmO3dKmMly8Hzj/fuxisvFwC7b33\n",
       "ynjvXqnJNS8qImdasUJm68vKZGOExo2N13ftKrP0HTr4Xq4tDFu0yLdF1z33yGx+69bGy6uquOub\n",
       "kzHMxhXLG4hCNHfuXEyePDnkmtm+ffuip1UvSQsnnXQSTjrppGgfOkVDVZUE1GOOkXF5udS7ao3x\n",
       "V6wA/vEP2QkKkJnc++7zht6sLFnspWnd2lgu0L498PDD3vHhhwMLF3rHubnewAsAmZkMvIlk3uZY\n",
       "8/jj0jO4TRvj5UOHet/g/PKLbx/ZZs0k4JhD70MPyUKwvDzr3sLmxWYaBt7EiGeY9XhkBj+Fw2w0\n",
       "MfQ6AMsZostqZrZt27YoMDdFt7By5UrMmDHDEGbNNbOcmU0iqiotubRaxz17pDPBddfJeOtWqZ/9\n",
       "9lsZ79ghbba0XrL16snCLy30ejyy4l2Tlwf885/G8ddfe8c5ObJ4TNOwobR90rAMIbFWr5Z/I/MW\n",
       "1tdeC3z5pQSXL74ATjjBeP0XX8hWtebQ+/e/y45geXnyhsVszhzrUoOhfrt+UjyZw2ygUMuZ2aTE\n",
       "8gZKGnbrWd9++21cobVUqjV06FBMmzYtRkdGCVNdLXWw2sx5VZVscPDmmzKuqJAXlIoKCZhVVRJK\n",
       "9u6V8YED8mKzd6/s7FVdLSvev/xSZvdUVTohDBsmP8+a2eRSVCQlJqWlwIgRsrBP78wzpWzgH/8w\n",
       "Xj5kiPfNygcfGN+oAFKi0K0bd3xLFrEIs40b+w+xDLMJwZpeSgrazKxVnaz+z+OPPx7vv/9+0Ptb\n",
       "tWoVvvjiC87MJqudO2V2RAuZTz0FjBwp4+pqqXdcvFhCak2NfMRbWeltw5SZKS9wWt1tbq4sEtJm\n",
       "e+++Gygs9M64rVghJQTsVOBcqirnRWkp0KIF0Ly58fp77wUGDADMfaiHDZM2boDM8F96qfH6+++X\n",
       "2dmzzjJevnKlPCZbczmb3TBbViZdUuxgmE1aDL3kOCtXrsT48eNDrpn1eDw45phjcM011yTgqCmq\n",
       "5s4F+vf3tl+6/HJpyaWF1KwsebHSPnJu2lRCq9Z2qWVLacXk8cj4vPOAV1/1Xj99umx7y3rH5PPN\n",
       "N1L3qm1bq7n6atnyGJB/66uvNl5/440y83rTTcbL//MfOVfy8mT3t+7dY3fsFD2qKj2pg9XLhhtm\n",
       "A5UaaM9D5DiqKh0Z/b2/mT49wQvZCosLAbANl9vU1NRg06ZNhuBar149DB8+POhtKysrg9bMejwe\n",
       "tGzZEunarlLkbLt2yaxHWpqMX3xRZtS00HrccRJEc3NlfNFFsthL28Vr3jx51tK2KO3cWboiaLcf\n",
       "PdpbVgDIbXNyvGOtU4JmyJDo/n4UOlWVWXnzLn7vvy9fpaVSN2ueeZ0+XcKHOfTm5MiMq8dj7Cmr\n",
       "GT3a+k3OJZd4FxlS4jHMkoVgYVb/54EDkT0WZ3rpELs1s0uWLPHpVNC5c2esWLEiVodGifT991IL\n",
       "qZUH3HorcOed3vZJXbpIb9EuXWTco4d8pNyrl4z79pXFYNpucNdeK7fXuhLMni3dEpo0id/vRJEp\n",
       "KwOWLJE/u3SREgG9++6TEKr1I9Y89JD0JQakzMTclWDmTAnLZ59tvLy62vumipwnVmUGgUIsw6zj\n",
       "xSLMNm3q/1QYOpQtywj2+8zWr18fa9asCXp/bdu2xUsvveRTM0tJYtcuCSTaTPpbb8niLa2x/Tnn\n",
       "AA8+6N2567bbgAkTvG28fv0VWLfOG3o7dZIXPM1NNxnrID/7TOowNa+8YjweG101KMZUVV51zJ+u\n",
       "zJ4tHS0uvNB4+TvvAFpP6ttv9w29ubnetm56Q4bITL7HI+3azLRNNswYeBODYZYsxDvMapfl5lo3\n",
       "RQkFQ6/L7N69G3fccUfINbN9+vRB27ZtbT1GVlYWrr/++mgfOkXLr78Cbdt6SwDGjpW6V23l+tln\n",
       "Aw88IFvSAsC773p7QQLyLLVxozf0nn66cZHX449LcNHMnGl8fPO5YW6oT/G3ZYuEV/2/GyC7w919\n",
       "t7xCXXmllKbobdggu8OZQ2+3brJ9scfjncHXu+EG64WBvXp5PwGgxIlFn1mG2aSXzGHWLoZeB1JV\n",
       "FeXl5YbgunnzZtx7771Byw/q16+PTz/9FC1atDgUZrXZWH3NbG5uLrsZJIuKCpnp0l4s3n9fgkPX\n",
       "rjIeMUL6fGozpg8/LLuAabWtS5ZIyYEWejt1ktlezfDhxu1L33jDWGrw6KPG4+HGGs6zYoXUw5aW\n",
       "ynlhfuMxa5Z8vfuu8XJFkW2SAXm1MzvlFOvNMc4+27cEQY+dMBKDYZYspEKYtYuhN46qq6tRp04d\n",
       "W3Wz7du3xz7Tx0W33norsoO0z0lLS0NpaWlEx0lxtnChPINoC7ueeUZmWU8+WcbXXCN9RC++WMaf\n",
       "fiobLmihF5CtTzUDBhhfgMaMMZYXaKvgNRddZBxrC84o/lRVZmTLyuR784KuOXNk4d4LLxgvX77c\n",
       "W24waJBv6O3cGfj9d9/HGzhQArPH463Z1uvQwXf3MIq/WIVZLgBLagyzoWPojQI7fWa1MoPy8nLk\n",
       "6FeeW1AUBZMmTUJ2dja7GSSjykp5NtLeoHz+ufQV1eoe775bAuvll8t44kSZub3hBhmvWSMzZVro\n",
       "7dhRQq5m6FBjn9InnzQ+A91xh/F4zFuhUuJt3ChlAxdcYLz8yy+9vWbz8yXk6qWnW4fX7t2ll3Fe\n",
       "nnVbrmOPlS+zxo3lixJDC7OBQizDbMphmI0dht4w3H333ViyZIkhzNqpmc3Ly0OazQUZl5pb+ZBz\n",
       "LF8uHwtrC3HeektadmkBZuxYefa4804Zz5snL0Ra6K1XTxaCaY47zrg16XXXGcePPGJ8fPPuUVp/\n",
       "Woo/VZWtjc2N6teskZnX0lJ5VTFvqlJeLrXR5tCrzbjm5flucQtI/ay5RAGQN0bjx0f2u1D0MMyS\n",
       "BX2YDdaxjWE2NlI29G7atAkbN240zMheffXVyMvLC3rb+fPno7y8nDWzbrF7t7zwNG0q43nzZHza\n",
       "aTJ++mkZax8fT5smYy2MlpfLC5wWYDp0kI+oNYMHG1/YRo409i+97DLj8Zg/0qbE2btXtjkuLZW2\n",
       "WWynGpoAABrDSURBVOZe1EuWyMz70qXGy2tqvEHXaoFo+/bW/YR79JAabn8yM7n1bSIxzJKFWIZZ\n",
       "bY0xw2x0uKpPb3V1NVRVRV1zQ3QL/fv3x/fff2+4bO7cuTiJi3TcZ+1aWbjVp4+MZ8wANm2SfrGA\n",
       "bHP7v/9JuAWA55+XOketbnLiRNnVSWu1NXOmrGq/7joZr1kj4Yhh1flUVUKltvGFZts2maE318pu\n",
       "2OCdcW3ZUt7g6P31l5xXGzYYL9+3D/joI3llatXKejEYOUeswyy3s01KsZ6ZDXRaMMyGzjXbEIdS\n",
       "Mztz5kwMGjQo6H3Onj0be/fuZc1sMtq7V+pmtdro33+XYHveeTL+z3+kbdezz8r4tddkg4U33pDx\n",
       "229L7eS//y3jDz6Q7U+fe07GCxYA69dLv1rAt0aXnOvgQZmZHTDAePnOnVIaUFoqPYq3bzdev3u3\n",
       "1Env2SOlK5oDB6TGVguv48YZrydni3eY1V/OMOtYNTUSZu20H2aYTR52Qq8jyxteeuklzJo1K6ya\n",
       "Wbu9ZgvYEN+5SksldB53nIznzZNQeu+9Mp4xA/j4Y9n1CwBWr5bvtdCbleVtwwQAPXsCW7d6xwMH\n",
       "ett3AcD558uXpm9fb49a7f7IGaqrpXa1rAzYvFnqW/UhVFWlLKWqyrihQXa2zMYeOCA11VVVxm1r\n",
       "GzaU2uyaGuPt6tXzXUxGiceZWbLAMEvBxDT0/v7774bZ2EGDBuEYbVenANavX4+SkpKANbOcmU0i\n",
       "+/bJC5THI+MVK2Q2TquP/OILmY2dNk3GCxZIicGsWd7bz5njDb1t2hj7gB55pPEZbNAg4NRTvWPz\n",
       "ynXtWYoSa8cO7yvSyScbw6aqSheC+fON4TQtTWqpKytl/OKL3lpsQELqP/4h1+u7EtSpAyxbJq3b\n",
       "/L2JMW/AQPEX69ZcDLNJyRxm/Z0W5eUMsxRYTMsbzJc999xzuOWWW2LyeJRA27YBf/zh3eFr0SIp\n",
       "JXjmGRkXF8sOYPPmyfi774BRo6RlEwD8/LO06/r1VxmvXAm8/jrwxBMy3r5dgrKNN0zkQM8/Lxto\n",
       "mENFTo53Bl7rcqDXti0wdy7Qrp3x8scfl9ZdeXlSgsIFPs4XizDbqFHwxV8Ms47GMEt21dTIy0Wg\n",
       "c+XnnxNc0zt9+nTOzCajAwfkLNIW8JSWynalt90m4z/+AG6+2Rti58+XHcD++EPGixcbV7SvWiWL\n",
       "vr78UsZbtkiJwtVXex9v717fxUXkLDt2yCypeaHojTfKv31ZGfD1177dCg4/HPjkE+NmGgDQv788\n",
       "i+XlAW++6RtuN2yQVycbC1MpQRhmyUIswmyTJvZOC4bZ5GInzJaWytrzQE8NHg9w/PEuWchGUVZZ\n",
       "KbOvWr/X//1PNkx45x0ZL18u161cKeM1a2QWV+stu3Gj9JwtLZXxtm1SevDyyzLeuxf47TfghBPi\n",
       "9RtRNHz/vbxBKSuTNmrmmdfeveUc0dc7A3Iu/PKLfP/dd8Dxxxuvf+kl4KyzvDvOkfOZw6zVKxLD\n",
       "bMphmCW7tDAbrOw+WJjVvs/NNbavt+Ka7g0URHW1BNKOHWW8a5eUFowdK+PycuCkk6REAJAFQD17\n",
       "yp+AvLjpe8tWVAAnnii1tYAs+nn5Ze9Mb02NBGfOzDqXqkrHgvr1jTWxAHDPPbKlsbnF2oknAt9+\n",
       "K99/9ZW3XEVz3nkyw5+fb7x83jx5PI9HZnmDPTNR4tgJs9qfoYbZQL1mGWYdjWGW7EpEmLWLodct\n",
       "DhwApk+XkgFA2iqddx7w3//KuKJCzpzKSlnJXlUlizeqqmR84IC84OzdKwuBamqASy+V1l6KIi+E\n",
       "c+bIYiK2Y0oev/4KtG4t//Z6l10mGyNUVckWyGecYbz+nHOkHMW8OcJDD8ksv8cjNbjdusX08CmK\n",
       "Yh1m/XXIZ5h1NHYzILucHGbtYuh1KlWVcNGli4TMmhrZsnb8eBlXV0vP0K1bvSG1fn0JtenpcvvM\n",
       "THmR0xbx9O0rHy1rL0DPPSeLw7Rd4SoqpB6ToTZ5fPSRzKKWlgI33SSz9XoXXijB9Z//NF5++eVS\n",
       "hpCdLV0xtDdLml9+kWel1q1je/wUuViGWZYZJC2GWbLLKsxaPX04OczaxdAbT9rvqoVKrW+sFjoL\n",
       "CmS2Vgup2dlSG6u1VWrWTMoPmjeXccuWskAsL0/G118vq9abNJHx998DRx/tvX9yrl275N+6tFRK\n",
       "UMzbyI4aBfTrJyUHetdcA0yaJN+/8IIsGNN76SVZ/HXmmcbLt22TZyX2F3Yuu2G2rExa9tnBMJv0\n",
       "Yh1m/Z0a3M42+aRSmLUraTencKSVK6VeUetA8cADwMiR3tDaoYMEUW3xz6hRsqBH64CwYoWchVrd\n",
       "7XHHSc2ldvvx442r1NesMbZimjjReDzmxUKUeLNnS9Ds3994+X33ARMmyPdPPQXccYfx+rp1ZTMO\n",
       "s/PPl08D8vKs27XdcIP1cRx2WOjHTtERizDLPrNJj2GW7Io0zHbvLvvzuCnMRlPqhl7zzOzHH8vW\n",
       "pdpM6rBh0idWa7/0j3/Iz2htlz76CLjgAqBXLxk3bixnoxZ6L7/c+HgffGBcDV9UZLz+yiuNY76A\n",
       "JU5lpbzy6Dc9AGTb4ldekWecG26QNzZ6P/wgz1jm0Nuhg7TtysuTGXyzu++2nrEfOFC+KPFUVfpF\n",
       "B2vLxTCbUhhmyS6GWWdwb+hdvVrOCu0FY/x4mTnTeoEef7x8ZHzkkTJ+9FEJJNrOXSUl0idUC71/\n",
       "/7ssINM88IC3FAGQwKNfJf/oo8bj0R6HEm/1apmVLy2VNlzmhV4vvCCzdU8+abx861apmwa87dv0\n",
       "Cgqkdtrsttu8nS+s6HcOo/iKdZgN9HkiN9VwrFiF2UCnA8NscmKYTS7JE3rNM7OzZsksa6tWMr7x\n",
       "RtnW9qijZDxihARTre3S7Nny81robdZMzkbN0KHGF6FXXjH2Ff33v43HY14cxGeqxFBVabV28KDs\n",
       "8KU3c6b0nb31VuPlRUXe0oCrrvINve3be3cK0zvvPOCII7wr2c2OOy7834Oii2GWLMQ6zOpPBYbZ\n",
       "5MYw607OWci2fr2cOdpHyq+8IrOuffrIeMgQCbLahgrnnislBFrbpQsukJncCy+U8ciR8tFwQYGM\n",
       "P/9c6iO1mtp9+6Q+l90MnG/jRvnSZuE1770n50BVFXDJJb5vTKZNk7KS9983Xv7dd8CLL8qzUf/+\n",
       "vq27yLliXTPLMJuUYrWdLWdm3SecMBvo6YFh1jkSv5CtulpabgHA3Llylhx+uIwfeEBmxrRZtrvv\n",
       "llXol1wi4++/l1Cqhd7DDjPOzJ51lnFm77HHZPZW89RTxmMxr3DnWeocf/7prZXt2lX6xer99hvw\n",
       "+uuyla1eo0YSeLOzveeZ3skne883vf79fetuKbESFWb1JVDkOAyzZFekYVabmWWYdbfYht7XX5e2\n",
       "S4DMuvXo4Q0hO3dKr1ot9PbpA9Sp473tiBHGEDtxorG7wYgRxsfq3Dn6x0+h2bdP6mVLSyWEnnyy\n",
       "8fq5c+XNiDm8btokfYUBCaPm0Nuli/fNj97JJ0s7sOxs6+Np0UK+KHHMYTZQqYHdPrOcmU16WpgN\n",
       "1gg/1DDLBWDuE86mCQyzqWX3bjkH7Iht6N20yfv9aacZF3qNHGk880aPNt7W3Iif/WidY8MG6V5h\n",
       "rpWdP99b13rkkbJjmF7TptKKzaxbNwnDHo90OjDr2hV4+GHfyzMy+OyVKAyzZIFhluximKVgtDCr\n",
       "Py927vT9uYYNjc2xAoltTW9NDWtmnezAAamVNW+WsG6dlJmUlcls+y+/GK9fsULKRVatMl6+YYO3\n",
       "cr9nT29vWs3Bg7IVsr+ZWUo8hlmywDBLdkUSZv2VmjDMukuoYVZ/TjRu7D9Wcke2VLdnD/Dhh3JG\n",
       "7dsnddR6JSXSum3jRuPlmzbJMw0gr0x//eV7v2++6btDGDmXFmaDvRKFG2bZZzYpMcySXQyzFEys\n",
       "wqxdDL1uorXm2rLFd3FWRQXwz39Kiy69nTu9m200aCCbLujPqv37pQXXokXGy2tqgG++8Z6N3M7W\n",
       "uRhmyUKsw2yg04JhNrloYTbYhzvsZpC6Eh1m7WLoTTY1NcCUKcDFFxsv379fwuvevbKYb98+46K/\n",
       "mhqpl66oMD7bqCpwxRXS5cLjkQ0SrLockPMwzJIFhlmyi2GWgkmWMGsXQ28imTfT0IwcKbWvpaXA\n",
       "119LWzb9bbKy5BXLXPfarJnUxHo8wE8/eWdwNd9/L7vG1U2e/UZSUjzCrLZ5BsNs0mCYJbvCCbOB\n",
       "Sg0YZt3HKszu2OEbR5IlzNrF0BtLy5ZJLWxpqWyMYX7laNUK+OMP41bFgJxZWr/h9euBNm2M1992\n",
       "G3Dffb6327OHC32cLNYLwDgzm5QYZskuhlkKJliY1SJXVpbveZHMYdYuht5Q+JuZLSyUBVvmLW47\n",
       "dADWrpXvly/3rbPt2VNKFXr1Ml7+n/9IiUFenszM8pXJ2djNgCzEYtOEJk2CnxIMs8nHHGb9nTPl\n",
       "5fbe5zLMuk+gMKuPUakaZu1i6NVbuVLOEPOs2KWXSmlAaamUDfTubbz+qKNkY4yjjzZeftFFcpu8\n",
       "POkhq21vrKmqMvYlJmdhmCULDLNkF8MsBeO2mlmnS63QO3MmsHixnFU33eS7Q1v//sATTwAnnmi8\n",
       "/NRTpbYWAGbNAgoKjNdPny6Bt3Xr2B07RU+swmyw/jsMs47GMEt2hVJmYKecnmHWfRhmnSk5Q6/W\n",
       "mqusTM6Qpk2N1992m9TQ9u9vvHzwYODzz+X7GTOAc87xvd3ZZwOnnGK8fNky6YTg8XDTBCczh9lA\n",
       "r0gMsymDYZbsiiTMcmY2NYQSZs3nA8Ns4jk79H79tSzi6tTJePmFFwLvvSffT50qY71LLwVOPx24\n",
       "7DLj5a+9JgHW45Fwa57pJWeyG2bLyqRVmx3mMGuVXhhmHY1hluwKZdMEhtnUZA6zZWUyt2bGMJvc\n",
       "7ITe2Pa3GjpUzq477gCGDDFeN2WKlA2YQ29Ojsy45uUZe9FqHnxQlq6aXXVV9I6bIscwSxbMYTbQ\n",
       "acEwm9oiDbM9enh3RWeYdadwwmyfPsCgQQyzqSq2M73a4PHHgTFjjD/wwQcSXgcONF5+8CB7zToZ\n",
       "wyxZiEWYZWsud7IKs1bBljOzqctOmFUUeUkwnxuNGjHMutm+ff4jxsknJ7q8YfJkOQu7dgVatozJ\n",
       "41CUqCqwfXvwxV8MsymFYZbsCiXMss9satq92/fcYJglwH+YNXeTTU/3vkaYG2Q5u6aX4iMeYZYL\n",
       "wJIOwyzZxTBLwfgLs/o+s+Ywq3W6YJh1N3OYNcdC7RzJyPAfZu1i6HUzhlmyoKreHcCCnRbhhFl/\n",
       "p0duLsNssmGYpWDCCbOcmU0N8QyzdjH0JiOGWbLAMEt2hRNmA50HDLPuwzBL/lRVSVec0tLAESOe\n",
       "YdYuhl4nYZglC7HuZsAw6x4MsxQMwyz5k8xh1i6G3niIVZgNNgXHMOtosa6ZZZh1D4ZZCsZOmAXY\n",
       "ZzYVVVXZixjJHGbtYuiNRKxac1k1EDVPyzHMOlYsNk1gmHWnUPrMMsymJn2Y1f7UwqxGVRlmUxHD\n",
       "bOgYeq3EK8xyZjapMMySXZGEWavzgWHWfRhmyR+G2diJeehVFGUdgF0AqgEcUFX177rr4ht6GWbJ\n",
       "AsMs2cUwS8H4C7NmDLOph2E28eIRetcCOFJV1b8srotO6DWH2UCvSPv327tPO9v8eDzyzEWOpIXZ\n",
       "YAGFYZYChVn9OcMwm7rsbJoAyEuC+ZxgmHW3VFgA5hbxCr1Hqaq6zeK6wKGXYZYsxDrMctME94jG\n",
       "zKz5DQ3DrLswzJI/DLPuE4/QuwbATkh5wyuqqk7SXaeqs2czzBIAhlmyL5JuBpyZTQ27d/ueEwyz\n",
       "BDDMprJ4hF6PqqpliqLkAPgCwM2qqn5Te13we2aYTXoMs2QXW3NRMFZhdvt235DKMJt6tB3AGGbJ\n",
       "Hzuht24kD6Cqalntn1sURZkO4O8AvtGuL2zXDsjOBrKzkd+vH/JPPJFhNklwARjZFWmY7d4dOO00\n",
       "hlk3CyfM9u4NDBrEMOt2+u1sq6r8/5wWZo84gmGWRHFxMYqLi0O6TdgzvYqiNACQpqpqhaIoDQEU\n",
       "AXhQVdWi2uud2bIsxTHMkl36MBtoJl8fZgOVGjDMuo85zJpbc2kvAVlZvucFw6y7hRpmOTNLkYpp\n",
       "eYOiKO0BTK8d1gXwrqqqj+uuZ+iNI4ZZsothloJhmCV/9GF23z7jjnCAd5c4hlmKN25O4QKxCrN2\n",
       "Fv8wzCaXUMKsnXJ6hln3CTfMejxAkyYMs27GMEvJjqHXwRhmyS6GWQqGM7PkjznMarRzQvu3T09n\n",
       "mKXkxtCbAOYwG2hjuHDDrL+V7AyzyYVhloKxCrM7d/r+HLsZpB5/YdYsPd37GsEwS27G0BtFsQqz\n",
       "+hcqhll3YJilYNhnlvxhmCUKD0OvDZyZJbu4AIyCCSXMms8Nhll3sxtmtZpZhlmi0KR06GWYJbsY\n",
       "ZikYhlnyh2GWyBlcGXpV1bsDWKCAwjBL4WyawDCbWuyEWUUBGjTwPScaNWKYdTOGWaLkklShNx5h\n",
       "lt0M3IFhloJhmCV/GGaJ3MkRoZdhluyKdDtbq9l5hll3YZglfxhmiVJbwkNvmzYqwywxzFJQobTm\n",
       "YphNLf42TdD/m2ubJrCbAVHqSnjoBeS+GWbdiWUGFEy4YZYLwNyvqko23yktNc7Majt/aRhmiciO\n",
       "hIfeNWtUhtkkZBVmrUItw2zqqqz0PTcYZglgmCWixEh46E2GPr2pJJQwy00TUhPDLPnDMEtETsbQ\n",
       "myIYZikYhlnyx1+YNWOYJSInY+hNclqYDVQvaxVm/ZUa5ObK1pXkHlZhVt/NQAur3M429YQSZj0e\n",
       "+WKYJaJkxdDrUAyzFIy/mVnzynWG2dTDMEtE5IuhN87CCbMeD9CqFcNsqmCZAfmjteZimCUiCh1D\n",
       "b5RwZpaCYZglf/z1mdVoC8EYZomIwsfQGwTDLAWj9ZkNNcxy0wT304fZqir/P8cwS0QUeykbesMN\n",
       "s+xmkDq4Axj5wzBLRJR8XBd6GWYpmEBhVt9PVAuz+nOCYdbdGGaJiNwraUJvKGGWO4ClJoZZ8scq\n",
       "zJo3TAAYZomI3Czhobe6WmWYpYDMYbaszNtnVh9UGzTw7XTBMOtuDLNERGRXwkNvvXoqw2yKCiXM\n",
       "cmY2tZi7GWjMPYjT0xlmiYjInoSH3qoqlWHWZRhmyR+GWSIiSpSEh16ntywjL4ZZ8sdfmDVLT/e2\n",
       "7mOYJSKieGLoJYZZ8othloiI3IKh18V27/ZdILhjh3Ghj6J4wyz7zKYOhlkiIko1DL1JiGGW/GGY\n",
       "JSIissbQ6yD+wqwew2xqYpglIiKKDENvHNiZmQV8t7P1eGTXOIZZ92KYJSIiig+G3ggwzJI/5jBr\n",
       "bskFyGUZGQyzRERE8cDQa4FhlvxhmCUiIkpOKRV6GWbJH4ZZIiIid3NF6GWYJX+qqoDycjkvAtXM\n",
       "ZmRwBzAiIiI3c3ToZZglfxhmiYiIKBQJD71TpqgMs3QIwywRERHFQsJD79KlKsNsCtBqZhlmiYiI\n",
       "KBESHnqd2L2B7NMvAKuq8v9zDLNERESUSAy9ZIlhloiIiNyEoTfFMMwSERFRKmLodQmGWSIiIiL/\n",
       "GHodjmGWiIiIKHIMvQkSSpjNzZWWbQyzREREROFh6I0yqzBr7j8McGaWiIiIKJ4Yem3Sh1l9n1nt\n",
       "8LUew+npDLNERERETpPyoZdhloiIiMj9XBt6/YVZs/R0qZfNzWWYJSIiInKrpAu9DLNEREREFCrH\n",
       "hF67YVZbAMYwS0RERER2JTz0zpkj980wS0RERESxkvDQm+iFbERERETkfnZCb514HQwRERERUaIw\n",
       "9BIRERGR6zH0EhEREZHrMfQSERERkesx9BIRERGR6zH0EhEREZHrMfQSERERkeuFHXoVRRmkKMoy\n",
       "RVFWKooyOpoHRUREREQUTWGFXkVR0gC8AGAQgO4AhimK0i2aB0buVFxcnOhDIAfieUFWeF6QFZ4X\n",
       "FK5wZ3r/DmCVqqrrVFU9AGAqgHOid1jkVnyyIis8L8gKzwuywvOCwhVu6G0FYINuvLH2MiIiIqL/\n",
       "b+/uXeSq4jCOfx8Tg0YDFoJRshAL7QRDLMSg+E4UCXYqiGBhpSiIFlrZiVXyBxiLIARBUYwWiiZF\n",
       "grAxsosvG1IpSNQoKEJIFfZnsTewOMnKDns9N3e/n2buZc4wTzHMPBzOmSMNzrSlt9Y0hSRJktSj\n",
       "VK2+vya5E3ijqnZ3968Bi1X11rIxFmNJkiT9L6oqKz0/bendCJwCHgB+AY4DT1XVyWlCSpIkSX3a\n",
       "OM2Lqup8kheAz4ANwH4LryRJkoZqqpleSZIk6XLSy4lsHlyhf0vyTpIzSb5rnUXDkWQmyZEkPyT5\n",
       "PsmLrTOpvSRXJZlNMp9kIcmbrTNpGJJsSDKX5FDrLBqOJD8l+bb7bBy/5Li1nuntDq44BTwInAa+\n",
       "xvW+616Su4GzwIGquq11Hg1Dkq3A1qqaT3It8A3wuN8XSrK5qs51e0iOAa9U1bHWudRWkpeBncCW\n",
       "qtrTOo+GIcmPwM6q+nOlcX3M9HpwhSZU1VHgr9Y5NCxV9VtVzXfXZ4GTwE1tU2kIqupcd7mJpb0j\n",
       "K/6YafySbAMeBd4GVtylr3XpPz8TfZReD66QtGpJtgM7gNm2STQESa5IMg+cAY5U1ULrTGpuL/Aq\n",
       "sNg6iAangC+SnEjy3KUG9VF63RknaVW6pQ3vAy91M75a56pqsapuB7YB9yS5t3EkNZTkMeD3qprD\n",
       "WV5N2lVVO4BHgOe7JZUT+ii9p4GZZfczLM32StKEJFcCHwDvVtVHrfNoWKrqb+BT4I7WWdTUXcCe\n",
       "bu3mQeD+JAcaZ9JAVNWv3eMfwIcsLbWd0EfpPQHckmR7kk3AE8DHPbyPpMtckgD7gYWq2tc6j4Yh\n",
       "yfVJruuurwYeAubaplJLVfV6Vc1U1c3Ak8DhqnqmdS61l2Rzki3d9TXAw8BF/ylqzUtvVZ0HLhxc\n",
       "sQC8505sJTkIfAXcmuTnJM+2zqRB2AU8DdzX/dXMXJLdrUOpuRuBw92a3lngUFV92TiThsWllLrg\n",
       "BuDosu+LT6rq84sN9HAKSZIkjV4vh1NIkiRJQ2LplSRJ0uhZeiVJkjR6ll5JkiSNnqVXkiRJo2fp\n",
       "lSRJ0uhZeiVJkjR6ll5JkiSN3j/E2j7Ov+sfPAAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb6bb128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# line customization\n",
    "fig, ax = plt.subplots(figsize=(12,6))\n",
    "\n",
    "ax.plot(x, x+1, color=\"blue\", linewidth=0.25)\n",
    "ax.plot(x, x+2, color=\"blue\", linewidth=0.50)\n",
    "ax.plot(x, x+3, color=\"blue\", linewidth=1.00)\n",
    "ax.plot(x, x+4, color=\"blue\", linewidth=2.00)\n",
    "\n",
    "# possible linestype options ‘-‘, ‘–’, ‘-.’, ‘:’, ‘steps’\n",
    "ax.plot(x, x+5, color=\"red\", lw=2, linestyle='-')\n",
    "ax.plot(x, x+6, color=\"red\", lw=2, ls='-.')\n",
    "ax.plot(x, x+7, color=\"red\", lw=2, ls=':')\n",
    "\n",
    "# custom dash\n",
    "line, = ax.plot(x, x+8, color=\"black\", lw=1.50)\n",
    "line.set_dashes([5, 10, 15, 10]) # format: line length, space length, ...\n",
    "\n",
    "# possible marker symbols: marker = '+', 'o', '*', 's', ',', '.', \n",
    "# '1', '2', '3', '4', ...\n",
    "ax.plot(x, x+ 9, color=\"green\", lw=2, ls='*', marker='+')\n",
    "ax.plot(x, x+10, color=\"green\", lw=2, ls='*', marker='o')\n",
    "ax.plot(x, x+11, color=\"green\", lw=2, ls='*', marker='s')\n",
    "ax.plot(x, x+12, color=\"green\", lw=2, ls='*', marker='1')\n",
    "\n",
    "# marker size and color\n",
    "ax.plot(x, x+13, color=\"purple\", lw=1, ls='-', marker='o', markersize=2)\n",
    "ax.plot(x, x+14, color=\"purple\", lw=1, ls='-', marker='o', markersize=4)\n",
    "ax.plot(x, x+15, color=\"purple\", lw=1, ls='-', marker='o', markersize=8, \n",
    "        markerfacecolor=\"red\")\n",
    "ax.plot(x, x+16, color=\"purple\", lw=1, ls='-', marker='s', markersize=8, \n",
    "        markerfacecolor=\"yellow\", markeredgewidth=2, markeredgecolor=\"blue\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAsgAAAEKCAYAAAAPY6NUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3XucTfX+x/HXB7lFSeVSyS3XQqkUTjV1KEWoVMotFBLd\n",
       "OL84dQ7VSQqlKLocGpJLKiF3GblfymXcI0QyOC65DzOf3x9rTe2mMWbGzP7uy+f5eMzD3mutvdd7\n",
       "j/1d6zvf9V3fr6gqxhhjjDHGGE8u1wGMMcYYY4wJJVZBNsYYY4wxJoBVkI0xxhhjjAlgFWRjjDHG\n",
       "GGMCWAXZGGOMMcaYAFZBNsYYY4wxJoBVkM9CRD4RkVczuG0lEVkpIr+JSJdz3G9vERl5Lu9hjAke\n",
       "EblSRA6LiGRg2zIikiwidgw2xpgQZAfns1P/JyP+D5itqheo6uBs2C9gJ1NjQpGIbBORO1Keq+rP\n",
       "qlpYs2FwefsD2ZjMEZHHRGSe6xwmcliFK2PO2iLkKw2sy8F9ZjSHc1aZN1FACaMyaYyJTCKSx3WG\n",
       "SGSVmFRE5DoR+cHvJjEGyJ9qfSO/G8UBEVkgItX85d8CMcBg/7UVRKShiKwQkUMi8rOI9Ap4nxgR\n",
       "2ZHqvf/UIsUfrcjf+f8e9C/h3pRG7loissjPtUtEBonIef66OiKyV0Su8J/XEJH9IlIxvc/kr3tB\n",
       "RHb6n2lDqnyB+/9ERIaIyBQROQLEnOXzp7SKtxaR7X6+fwasLyAisX7OdSLyf4G/LxG5TES+EJE9\n",
       "IvKTiHRN9btY7u93t4gMSCuzMVnlt+5eCUzyy2T31Fd6RKSsiHznl52ZIvJeGq3CLVN//0WkAdAT\n",
       "eNh/7xVnyNBDRDb7779WRJoGrBsiIuMDnr8hIrP8x/lEpL+/393+tvn9dZeIyGT/WPA/P7/9EWCy\n",
       "nYiUEpEv/WP4PhEZ5C//09WTNMrVYyKyxf/e/yQij4pIZWAoUNsvM/v9bS8UkRH+PraJyIsp32f/\n",
       "fRaIyFv+932zf65s65+vEkSkdTr52/rnpt/8PB0C1r0gIotFJLf//EkRWSMieUUkV0DZ3SciY0Xk\n",
       "In+7/CLyqb/8gIgsFZFiZ9j/Nv+8uBo4LCK5z3JMeExE5otIP/HOqz/5x5qU9eker0TkZhFZ6Oda\n",
       "KSK3Zeo/PBypqv34P0BeYDvwDJAbeABIBF7x118HJAA34rUctQa2Auf56+cA7QLe7zbgav9xNWA3\n",
       "0MR/HgPsSLX/rcAd/uPewEj/cWkgGciVTvaaQC28P3pSWrKfCVj/H2A2UACIBzqf7TMBlYCfgRL+\n",
       "tlcC5c6w/0+Ag0Bt/3m+s3z+Mv5n+sDftjpwAqjkr+/r/z4vBC4HVgM/++tyAd8DLwF5gLLAFuBO\n",
       "f/0ioIX/uCBwk+vvlv1E3k9gefWfp3ync/nPFwFv+t/RusAhYESqbc/0/e+Vsm06+28WUDYfAo4E\n",
       "PC8AbATaALcAe4HL/HVvAxOAIkAhYCLQx1/3OjAE7/iXG6jr+vdsP5H343+3VgED/O9qPqCOv64X\n",
       "/rnPf/57uQLO98tRBX9dcaCq/7gNMC/VfkYAX/mvK+2XiXb+useAU/7rBHgV2AkMwjv/1Qd+Awqe\n",
       "4TPcA5T1H98KHAWu858LMNf/LBWA/UANf90zwELgMn8/Q4HP/HUd/fKY33+P64DCZ9j/NuAHvPNj\n",
       "Pn9ZWseE4gGfNxFo7793J+CXgPdL73h1ObAPaOA/r+c/v8T1dylHv6euA4TSj/8l/yXVsgX8UUEe\n",
       "kvI4YP0G4Bb/8RygfTrvPxB4y38cQ8YryL8fIDLxWZ4Fvgx4ngdYjlc5nhKw/Eyf6VagPF7l+e/4\n",
       "fwSks7/hwCdn2Sbw86d8pssC1i8BHvIfbwHqB6xrn/L7Am4Ctqd6757AMP/xXP/3F9GF137c/pBO\n",
       "BRnvj8lTQP6A9SPTKNNn+v7/Xv4zkWcF0DjgeS28E/M24GF/meCdNMsFbFcb+Ml//DJe5bm869+v\n",
       "/UTuj/+d25PWOS31d5+/VpAPAPcDBVK97jECKsh4lfCTQOWAZR2AOQHbbwpYV83fz6UBy/YB1TP4\n",
       "mb4Cng54Xhr4H15j1QsBy9elOm6UxKu45gba4tU5qmVgf1uBx86yze/HBP/z/hiwrqD/eYulc7xK\n",
       "qSC/QKo/2IFpQGvX36Wc/LEuFn92GfBLqmXbAx6XBrr5lxgOiMgB4Ar/dSk05YGI3CQic/zLOwfx\n",
       "/jq8OCeCi0hF/9LoryJyCHgtcF+qehqIBa7G+6v9bJ+ppKpuwato9wYSRGS0iJRMJ0bqLiMZ+fy7\n",
       "Ax4fw2vRAu93Gvh+O1NlvixV5p54BR28ynRFYL1/iaphOpmNyQmXAftV9UTAsh1pbHem7/9Zidc9\n",
       "aUVAGbiGP5f5pcBP/tPP/X8vxTsxfh/wuqnAJf76fsBmYIZ/2fiFjOYxJhNK4TVyJGfmRap6FHgY\n",
       "r/Vzl3/Oq3SGzS/Ba6ENPIf/jNcamiIh4PFxfx97Uy1Ls0yKyN1+N4r/+eXoHv5c/rYDcXjnq/cC\n",
       "XloG+Cqg/K0DTuOdv0YC04ExIvKLeF2j0utfnPqcm+4xgYDjjaoe8x8WIu3j1U7+uMeiNPBgqnNu\n",
       "XaBEOtnCnlWQ/+xX/lx4wPtipPgZeE1VLwr4KaSqY8/wfp/htcZcoapF8C6lpPzOj+KdqADw+ypd\n",
       "eob30TMsDzQEr6BdpaoXAi8G7AsRuRz4NzAMeEtE8mbkM6nqaFW9xf89KPBGBrKkSO/zn82veAfR\n",
       "FIGPdwBbU2W+QFUb+Zk3q+qjqnqpn3e8iBTIRG5jMiK9cvkrUDTV9+7KbHpvRKQ08CHwFFBUVS8C\n",
       "1hBw06CIPIXXbWwX3gg74LWIHce7LJ1Sdoqo6gUAqnpEVburanmgMfC8nOG+A2POwQ7gypQ+uqkc\n",
       "IeDcSKpKmKrOUNU7/eUbgI9SVqV6n314raJlApZdyZ8bW7JERPIBX+B1SSjml78p/Ln8NQRuxuva\n",
       "2D/g5T/jdVUIPH8VVNVfVfW0qr6iqlcDdYBGeN0ezySwQe6sx4R0pHW8KhXw/j/jteoHZi6sqm9m\n",
       "4L3DllWQ/2whcFpEnhaR80Tkfry+uSk+AjqJdxOYiMj54t2IFvgXZuCXsRBwQFUTRaQW8Ch/fOE2\n",
       "AflF5B7xbqZ7Ca8fVlr24l0KKZ9O9kLAYeCYeDcsPPl7IBHB6yP8sao+jlcYUsZ2PuNn8lul7/AP\n",
       "Bifx+kgmnWH/aRXC9D7/2YwDeopIEb9y3yXgtUvxbkr4P/Fu5sstIteIyA3+520pIil/bBzyX5ep\n",
       "lgpjMiCBM5RJv/VoOdDbP5bUxjvZZfT7vxso45fdtJzvv9c+IJeItMVrLQK8K0p4ZbwF3gn2/0Sk\n",
       "ht9i9xEwMKWMiMjlInKn/7ihiFzl7/c3vPJ+pjJvTFYtwTsP9RWRguLdnFbHX7cSuFW8m/guxLs6\n",
       "CICIFBORJiJyPl7l9yh/fD8TgCv88ymqmoR3HnnNP5+VBp4DPs2G/Hn9n31AsojcDdwZkPMSvHLW\n",
       "Hq9rw73+NuA1FPURkSv9bS8Vkcb+4xgRqeb/4XDY/4wZLX/pHhPSk87xKsWn/me40z/f5vezpm5Q\n",
       "jChWQQ6gqqfw+jY9htd36CG8vxJT1n8PPAEMxuvb9yPeySfwpBf4uDPwioj8BvwL+L2lWVUP+es/\n",
       "xvuL9gh/vlyiKe/lXwp5DVjgX96olUb87ngV0N/w/oocE5DlabzLTf/yn7cF2opI3XQ+E3gV9tfx\n",
       "Kui/+u/x+8Eqld/zZuTzB7zmTF7B+71sBWbgXSJOhN8PfI2Aa/EuIe/1P/MF/mvvAtaIyGG8G5Ka\n",
       "q+rJdPZlTFa8Drzkl8nn/WWB3+kWeH0t/4dXWR2L/x1OY9vUUrpE/E9Elqdeqarr8LpKLcKrTF8D\n",
       "zIffr0aNBPqqaryqbgb+CYz0Kw8v4HWjWCxed6yZeF2SwLuhaCbeyXkh8J6qzj3bL8KYzPD/ULsX\n",
       "uAqvdXIH3vkWVZ2FV1ZWA8uASfxRVnLhVXJ/wStXt/BHY9BsYC2wW0T2+Mu64lWifwLmAaPw7peB\n",
       "tM9ZGfoDVlUP451Xx+GdNx8Bvg7Y5ANggqpOU9X9eBXlj8UbreIdvBvxZvjnxkV49wuA1yr+OV7D\n",
       "zjq8LhoZGg89vWNCwGdL7/Oe8XilqjuBJnjHkT14/2fdiPA6pKie+fsgIsOAhsAeVa2Wal03vP5q\n",
       "l/hfAESkJ9AO7y+ep1V1Rk4FN9FFRJ7Eu4HpdtdZjMkKERkLrFPVl11nMaFPRIrgNaBcjVeRaYvX\n",
       "gDEWr8vbNrxj4kFXGU3ksuPV2Wv/w4EGqReKSCm8IVC2Byyritd5vqr/mvfFJoswWSQiJUSkrnhj\n",
       "RlYCnse7S9iYsCAiN4hIef87fDden94JrnOZsPEO3ohDVfCGAdwA9ABmqmpFvBbTHg7zmQhix6u/\n",
       "SrcCq6rz8IZUSe0t/rjpI0UTYLSqnlLVbXiX8NLqCmBMRuTF66v1G96JYALwvtNExmROCbyhH1O6\n",
       "+nRS1VVuI5lw4Pe9vUVVh4E3CpHfLa8x3mhE+P82PcNbGJNZdrxKJdPTE4pIE2Cnqq5Odf/IZcDi\n",
       "gOc7+euIEMZkiKr+jDcupTFhSVUnA5Nd5zBhqSywV0SGAzXwJkZ6Fm/Sh5ShyRLwJsow5pzZ8eqv\n",
       "MtUFQkQK4nXS7hW4OJ2XZPSObWOMMcZ48uDNjvq+qtbEu9HsT90p1LuByM6xxuSQzLYgl8cbU3CV\n",
       "33p8Bd6A8zfh3VUaOFbtFfx10g1ExAq0MamoakbGqnTCyqwxf5XDZXYn3pXaZf7z8XgjCO0WkRKq\n",
       "ulu8SZv2pH6hlVdj/ior5TVTLcj+kEHFVbWsqpbFK8Q1/Us+E4HmIpJXRMriDRe09AzvE7I/vXr1\n",
       "cp4hHLOFer5QzhYOXP+OwvH/NdTzWbbM/wxcNJDHJjwWjPK2G9jhj2cNUA9vCLNJQBt/WRvOcBOV\n",
       "699TKPz/RUuGrlO68krcK1H9OzjbT1alW0EWkdF4Y2FWFJEd/sDTfyqHAQVyHd6YgOvwpi7trOeS\n",
       "zBhjjAkh49ePp1mVZsHaXVdglIiswhvF4jWgL1BfRDYBd/jPTZRKSk7i83Wf8/A1D7uOEpHS7WKh\n",
       "qo+cZX25VM/7AH2yIZcxxhgTMnYd3sXaPWupV65eUPan3ggCN6axKjgBTMib9/M8ShQqQcWLK559\n",
       "Y5NpNk5xKjExMa4jnFEoZ4PQzhfK2bKTiAwTkQQRiQ9Y1k9E1ovIKhH50h9CKmVdTxH5UUQ2pEw3\n",
       "HE5C/f81lPNZtsz5cv2XNKrYiHx58rmOEvJC4f8vGjIMWT6ENjXanHF9NPwOclK6M+nlyA5FrOeF\n",
       "MQFEBM2mG35E5Ba8actHqD/7pYjUB2ararKI9AVQ1R7+5D6f4bVSXQ7MAiqqNw1s4HtamTVRL+aT\n",
       "GJ6v/TyNKzXO1jKb3ay8RodtB7dxw4c3sPWZrRTOV9h1nJCW1fJqLcjGRBBNY3IfVZ0ZUOldgjfC\n",
       "DNjkPsZkyO4ju1mVsIo7y4fdRRYTod5Z/A7trmtnleMclOmJQowxYa0dMNp/bJP7GJMBX63/insq\n",
       "3EP+PPldRzGGgycOErsqltVPrnYdJaJZC7IxUUJEXgQSVfWzdDaza7PGpBLk0SuMSdeH339Iw4oN\n",
       "ueKCK86+sckya0E2JgqIyGPAPcDfAxZnaHIfgN69e//+OCYmJqxvvDAmM/Yc3cOS+Uu4+cebWZV7\n",
       "les4JsolJiXy7pJ3mfyozQqd0+wmPWMcy+4bfkSkDDAp4Ca9BsAA4DZV3RewXcpNerX44ya9q1IX\n",
       "UCuzJpp9+P2HfLv1W8Y0G/P7MrtJz7jy6epPGb5yOLNbz3YdJWzYTXrGmMDJfSr5k/u0AwYBhYCZ\n",
       "IrJCRN4Hm9zHmIwYv248zapa9wrjnqrSf2F/utXu5jpKVLAWZGMcC+XWKLAya6LXvmP7KP9ueX7t\n",
       "9isFzyv4+/JQLrNWXiPX7J9m8/S0p4l/Mp5cYu2bGWUtyMYYY0w2+nrD19xZ/s4/VY6NcWXAogE8\n",
       "f/PzVjkOEvstG2OMMWmw0StMqFi7Zy0//PoDLaq3cB0lalgF2RhjjEnlwPEDLNyxkIYVG7qOYgxv\n",
       "LXqLp258ysbiDiIb5s0YY4xJ5euNX/P3sn+nUN5CrqOYKLf7yG6+2vAVm7puch0lqlgLsjHGGJOK\n",
       "jV5hQsV7S9+j+TXNuaTgJa6jRBWrIBtjjDEBDp04xHfbv6NRxUauo5godzTxKEO/H8pzNz/nOkrU\n",
       "sQqyMcYYE2DixoncXvZ2Lsh3gesoJsrFroqlbqm6VLi4gusoUcf6IBtjjDEBbPQKEwqSkpN4e/Hb\n",
       "DG8y3HWUqGQtyMYYY4zvt5O/MWfrHO6tdK/rKCbKTdo0iaIFilK3VF3XUaKSVZCNMcYY3+RNk7m1\n",
       "9K0UyV/EdRQT5VKmlRYJyUkbI55VkI1x6Mf//eg6gjEmgI1eYULBkp1L+OXwL9xf5X7XUaKWVZCN\n",
       "cWjk6pGuIxhjfEcSjzB762waV2rsOoqJcgMWDeDZm54lTy67VcwVqyAb40iyJjNi1QjXMYwxvm82\n",
       "fUOdUnUoWqCo6ygmim09sJVvt35Lu+vauY4S1ayCbIwj87bPo3C+wq5jGGN8NnqFCQUDFw+k/XXt\n",
       "7fzgWLoVZBEZJiIJIhIfsKyfiKwXkVUi8qWIXBiwrqeI/CgiG0TkzpwMbky4i10VS5sabVzHMMbg\n",
       "TcgwY8sMmlRu4jqKiWIHjh9g5OqRPH3T066jRL2ztSAPBxqkWjYDuFpVawCbgJ4AIlIVeBio6r/m\n",
       "fRGxFmpj0nDs1DG+2vAVLaq1cB3FGANM3TyVmy6/yabzNU59+P2HNKrYiMsvuNx1lKiXbgVWVecB\n",
       "B1Itm6mqyf7TJcAV/uMmwGhVPaWq24DNQK3sjWtMZJiwYQI3X3EzJQuXdB3FGIONXmHcS0xKZNDS\n",
       "QXSr3c11FMO590FuB0zxH18G7AxYtxOwP4GMSUPsqlhaV2/tOoYxBjh+6jjTNk+jaeWmrqOYKDZm\n",
       "zRgqX1KZGiVquI5iOIeppkXkRSBRVT9LZzNNa2Hv3r1/fxwTE0NMTExWYxgTdj7/5nO+++Q7bqh9\n",
       "A72/6O06jjFRb/qW6Vx/2fUUO7+Y6ygmSqkqAxYN4I16b7iOYnxZqiCLyGPAPcDfAxb/ApQKeH6F\n",
       "v+wvAivIxkSbrUW20uLpFrzW+DUAXn75ZceJjIlun6/7PORGrxCRbcBvQBJwSlVriUhRYCxQGtgG\n",
       "PKSqB52FNNlm9tbZJCUncVf5u1xHMb5Md7EQkQbAP4AmqnoiYNVEoLmI5BWRskAFYGn2xDQmMqiq\n",
       "jV5hTAg5cfoE32z6hvuq3Oc6SmoKxKjqdaqacj9PD2CmqlYEZvvPTQTov7A/z9d+3qaVDiFnG+Zt\n",
       "NLAQqCQiO0SkHTAIKATMFJEVIvI+gKquA8YB64CpQGdVTbOLhTHR6odff+D4qePUvbKu6yjGGGDm\n",
       "lpnUKFGDEoVKuI6SltS1pcZArP84FrBO0xFgzZ41rEpYZaMahZh0u1io6iNpLB6WzvZ9gD7nGsqY\n",
       "SDVi1Qha12hNLhsB0ZiQ8Pm6z3mw6oOuY6RFgVkikgR8oKofAcVVNcFfnwAUd5bOZJu3Fr1Flxu7\n",
       "kC9PPtdRTACb5NuYIDmVdIrRa0azqP0i11GMMcDJ0yeZtGkSfev1dR0lLXVV9VcRuRTviu2GwJWq\n",
       "qiJiV2nD3K+Hf2XChgn82PVH11FMKlZBNiZIpm6eSqVLKlG+aHnXUYwxeDdGXX3p1VxW+DLXUf5C\n",
       "VX/1/90rIl/hzSuQICIlVHW3iJQE9qT1WhspKnwMXjqYR655hIsLXuw6SsSIi4sjLi7unN9Hgt1N\n",
       "WESsa7KJSs3GNeOu8nfxxPVP/Gm5iKCqIXtnhpVZE6naft2Wa4tfyzM3P5Op1+V0mRWRgkBuVT0s\n",
       "IufjzWD7MlAP+J+qviEiPYAiqtoj1WutvIaJo4lHKfNOGRa1X8RVRa9yHSdiZbW8WkdIY4Jg//H9\n",
       "zPppFg9eHZJ9HY2JOolJiUzcOJH7q9zvOkpaigPzRGQl3oy1k1V1BtAXqC8im4A7/OcmTH2y8hNu\n",
       "ufIWqxyHKOtiYUwQjF0zlgZXNaBI/iI5uh8RGQY0BPaoajV/2RnHThWRnngzYiYBT/snYWMi3pyt\n",
       "c6h4cUVKXVjq7BsHmapuBa5NY/l+vFZkE+aSkpN4e/HbxDaNPfvGxglrQTYmCGJXxdK6RlCmlh4O\n",
       "NEi1LM2xU0WkKvAwUNV/zfsiNryGiQ4hPHqFiQJfb/yaSwpeQp1SdVxHMWdgJ0NjctjGfRvZfmg7\n",
       "d5a/M8f3parzgAOpFp9p7NQmwGhVPaWq24DNeDcCGRPRTiWdYsKGCTxQ5QHXUUyUGrBoAN1qd7OJ\n",
       "QUKYVZCNyWEjV4/k0WseJU8uZz2azjR26mXAzoDtdgKXBzOYMS7M3T6XcheVo3SR0q6jmCi0eOdi\n",
       "fj38ayjO3mgCWB9kY3JQsiYzcvVIJj0yyXUUIENjp6a5zoaNMpFk/LrxmepekV3DRhkDXuvxszc/\n",
       "67LRxGSADfNmTA6as3UOz01/jpWdVp5xm+weMkpEygCTAm7S2wDEBIydOkdVK/vDRKGqff3tpgG9\n",
       "VHVJqvezMmsixunk01z+1uUsar+IcheVy9J7hPLQjFZeQ9tPB36i1ke12PbsNgrlLeQ6TlSwYd6M\n",
       "CUFBvDkvPROBNv7jNsCEgOXNRSSviJQFKgBLHeQzJmjmbZ/HFRdckeXKsTHnYuDigTxe83GrHIcB\n",
       "a983JoccTTzKhA0TgjqNrYiMBm4DLhGRHcC/8cZKHSci7fGHeQNQ1XUiMg5YB5wGOlvTk4l049eN\n",
       "p1mVZq5jmCh04PgBPl39KfFPxruOYjLAKsjG5JAv139J3SvrUqJQiaDtU1UfOcOqNMdOVdU+QJ+c\n",
       "S2RM6EhKTuKL9V8wr+0811FMFPrg+w+4t9K9XH6B3QsdDqyCbEwOGbF6BE/UfOLsGxpjgmLBjgWU\n",
       "KFSCChdXcB3FRJnEpETeXfIuU1tMdR3FZJD1QTYmB+w4tIMffv2BxpUau45ijPGNXzeeZlWte4UJ\n",
       "vtHxo7mm2DXUKFHDdRSTQVZBNiYHjIofRbMqzcifJ7/rKMYYvCEXv1j/hc2eZ4JOVX+fGMSED6sg\n",
       "G5PNVJURq0aEwugVxhjfoh2LKFqgKJUuqeQ6iokyM3+aiaJBmU3VZB+rIBuTzZbvWk5iUiJ1StVx\n",
       "HcUY47PRK4wrAxYN4Pmbn7dppcOMVZCNyWYprcd2MDQmNCRrMuPXj+fBq617hQmu+IR44hPiebTa\n",
       "o66jmEyyUSyMyUaJSYmMWTuGpY/bfBvGhIqlvyylcN7CVL20qusoJsq8tfgtutTqQr48+VxHMZlk\n",
       "FWRjstGUH6dQ9dKqlL2orOsoxhifjV5hXNh1eBcTNkxgy9NbXEcxWWBdLIzJRrGrYmld3W7OMyZU\n",
       "qCrj14230StM0A1eOpgW1VpQtEBR11FMFlgLsjHZZN+xfczZOofYprGuoxhjfMt3LSdfnnxcU+wa\n",
       "11FMFDmaeJSPfviIxe0Xu45isijdFmQRGSYiCSISH7CsqIjMFJFNIjJDRIoErOspIj+KyAYRsfFM\n",
       "TFQZu2Ys91S4hwvyXeA6ijHGlzJ6hd00a4Jp+Mrh3Fr6VsoXLe86ismis3WxGA40SLWsBzBTVSsC\n",
       "s/3niEhV4GGgqv+a90XEunCYqBG7KpY2Ndq4jmGM8amqjV5hgi4pOYm3F79tE4OEuXQrsKo6DziQ\n",
       "anFjIOUacizQ1H/cBBitqqdUdRuwGaiVfVGNCV3r965n5287qVeunusoxhjfit0rEIQaxW16XxM8\n",
       "EzZMoNj5xWws/DCXlRbe4qqa4D9OAIr7jy8DdgZstxO4/ByyGRM2RqwaQcvqLcmdK7frKMYYX8ro\n",
       "Fda9wgTTgEUD6F67u+sY5hyd0016qqoioultktbC3r17//44JiaGmJiYc4lhjFNJyUl8Gv8pU1tM\n",
       "zdD2cXFxxMXF5WwoY6KcqvL5us8Z/cBo11FMFFm4YyEJRxNoWrnp2Tc2IS0rFeQEESmhqrtFpCSw\n",
       "x1/+C1AqYLsr/GV/EVhBNibczdk2h0sLXprhu+RT/1H48ssv51AyY6LX6oTVnE4+zfUlr3cdxUSR\n",
       "AYsG8OxNz9rVxAiQlS4WE4GUO5HaABMCljcXkbwiUhaoANh0YibijVg1wm7OMybE2OgVJti27N/C\n",
       "3G1zaXtdW9dRTDY42zBvo4GFQCUR2SEibYG+QH0R2QTc4T9HVdcB44B1wFSgs6qm1/3CmLB3JPEI\n",
       "EzdO5JFqj7iOYozxnU4+zSerPqFF9Rauo5goMnDxQDpc34FCeQu5jmKyQbpdLFT1TGf9NG/VV9U+\n",
       "QJ9zDWVMuPhi3RfcWvpWip1fzHUUY4zv6w1fU6ZIGa4tca3rKCZK7D++n0/jP2Vt57Wuo5hsYuMU\n",
       "G3MORqweQesaNrW0MaFk8LLBdLmxi+sYJooMXT6UJpWacFnhy1xHMdnEppo2Jot+PvQzK3ev5N6K\n",
       "97qOYozxrdmzho37NnJflftcRzFR4uTpkwxeOphpLae5jmKykbUgG5NFn67+lIeqPkS+PPlcRzHG\n",
       "+AYvHUzH6zuSN3de11HOmYjkFpEVIjLJf15URGaKyCYRmSEiRVxnNDB6zWiqFa9G9eLVXUcx2cgq\n",
       "yMZkgaoSuyrWulcYE0IOnjjI2LVj6XhDR9dRssszeDe+p9zw3gOYqaoVgdn+c+OQqjJg0QCbVjoC\n",
       "WQXZmCxY+stSVJWbr7jZdRRjjO+TlZ9w91V3U6JQCddRzpmIXAHcA3wMpIxV1xiI9R/HAjYbhWMz\n",
       "tsxAEOqXq+86islmVkE2JgtSWo9tjFVjQkOyJvPesvfoUitibs57G/gHkBywrLiqJviPE4DiQU9l\n",
       "/iSl9djOBZHHbtIzJpNOnj7JuLXj+L7D966jGGN80zdPp3DewtS+orbrKOdMRBoBe1R1hYjEpLWN\n",
       "qqqIpDnXQOBstaln7jTZZ3XCatbuXWvj4IeYuLg44uLizvl9JNhzeYiIzR9iwtqX679k0NJBzGkz\n",
       "J1veT0RAjJKqAAAgAElEQVRQ1ZBtfrAya8JBw88a0qxKs6DMYpbTZVZE+gCtgNNAfuAC4EvgRiBG\n",
       "VXeLSElgjqpWTvVaK69B0mZCGypfXJmet/R0HcWkI6vl1bpYGJNJsatiw25qaRHpKSJrRSReRD4T\n",
       "kXx2R7yJFJv3b2bpL0tpfk1z11Gyhar+U1VLqWpZoDnwraq2AiYCKQefNsAEVxmj3a7Du5i0cVIk\n",
       "3RBqUrEKsjGZsPfoXuZum8sDVR5wHSXDRKQM8ARQU1WrAbnxTrp2R7yJCEOWDaHdte0ocF4B11Fy\n",
       "SkqTcF+gvohsAu7wnxsHBi0ZRMvqLSlaoKjrKCaHWB9kYzJh9JrR3FvpXgrnK+w6Smb8BpwCCopI\n",
       "ElAQ2AX0BG7zt4kF4rBKsgkzRxOPErsqluUdlruOkiNUdS4w13+8H6jnNpE5kniEj374iKVPLHUd\n",
       "xeQga0E2JhNGrBpB6+rhNfaxf1IdAPyMVzE+qKozsTviTQQYFT+Kv135N8oUKeM6iokSw1YMI6ZM\n",
       "DOUuKuc6islB1oJsTAat3bOW3Ud2c0fZO1xHyRQRKQ88C5QBDgGfi0jLwG3SuyMe7K54E5pUlcFL\n",
       "B/PWXW/l6H6y6654E/6SkpMYuHggo+4f5TqKyWE2ioUxGfTCzBcQEfrWy95uf0G4I/5hoL6qPu4/\n",
       "bwXcjNeH8fb07oj3t7cya0LSd9u/o8OkDqx/an1Qx6EN5ZFnrLzmrPHrxvP24rdZ0G6B6ygmg2wU\n",
       "C2Ny0KmkU3wa/2m4Ti29AbhZRAqIV4uohzd97STsjngTxgYtHUSXWl1skgYTFKpK/4X9bVrpKGFd\n",
       "LIzJgDFrxlChaAWqXlrVdZRMU9VVIjICWI43K9cPwIdAYWCciLQHtgEPOQtpTCbt/G0ns3+azbDG\n",
       "w1xHMVFi4Y6F7Du2jyaVmriOYoLAKsjGnEWyJtN3QV/evutt11GyTFXfBN5MtdjuiDdh64PlH9Ci\n",
       "WotwG1HGhLH+i/rz7M3PkjtXbtdRTBBYBdmYs5i4cSL58+Snfrn6rqMYY/Cme//oh4+IeyzOdRQT\n",
       "JWb/NJsffv2BT+/71HUUEyTWB9mYdKgqr89/nZ5/62n9HI0JEZ+v+5zqxatT+ZK/3FNqTLY7fuo4\n",
       "nb7pxOC7B3N+3vNdxzFBYhVkY9IxZ9scDp04xH2V73MdxRjjG7x0MF1qdXEdw0SJ1+a9Ro3iNbi3\n",
       "0r2uo5ggsi4WxqTj9fmv80LdF6zPmTEhYtkvy9h9ZDcNKzR0HcVEgbV71jJ0+VBWP7nadRQTZNaC\n",
       "bMwZLPtlGRv3baRF9RauoxhjfIOXDabzjZ3tj1aT45I1mY6TO/JyzMtcVvgy13FMkFkF2ZgzeH3+\n",
       "63Sr3Y28ufO6jmKMAfYe3cvEjRNpf11711FMFPj4h485nXyaTjd0ch3FOJDlCrKI9BSRtSISLyKf\n",
       "iUg+ESkqIjNFZJOIzBCRItkZ1phgWb93PQt2LODxmo+7jmKM8X38w8fcX/l+Li54sesoJsLtPrKb\n",
       "F799kQ/v/dCuVkSpLFWQRaQM8ARQU1WrAbmB5kAPYKaqVgRm+8+NCTtvLHiDrrW62h3LxoSI08mn\n",
       "GbJ8CE/Vesp1FBMFnp32LO2va0/14tVdRzGOZPUmvd+AU0BBEUkCCgK7gJ7Abf42sUAcVkk2YWb7\n",
       "we1M3DiRLU9vcR3FGOObuHEipS4sRc2SNV1HMRFu6o9TWbZrGcOa2CyN0SxLLciquh8YAPyMVzE+\n",
       "qKozgeKqmuBvlgAUz5aUxgRR/4X9ebzm41xU4CLXUYwxvsFLB9O1VlfXMUyEO5p4lM5TOjOk4RAK\n",
       "nlfQdRzjUJZakEWkPPAsUAY4BHwuIi0Dt1FVFRFN6/W9e/f+/XFMTAwxMTFZiWFMtttzdA+j4kex\n",
       "tvPaHNtHXFwccXFxOfb+xkSatXvWsmHfBu6vcr/rKCbCvTz3ZeqUqsOd5e90HcU4Jqpp1mHTf5HI\n",
       "w0B9VX3cf94KuBm4A7hdVXeLSElgjqpWTvVazco+jQmGF2e/yP7j+xnSaEjQ9ikiqGrITtNnZda4\n",
       "1vmbzhQ7vxi9Y3q7jgKEdpm18pp1K3ev5M6RdxL/ZDzFC9kF8EiR1fKa1T7IG4B/iUgB4ARQD1gK\n",
       "HAXaAG/4/07I4vsbE3SHThxi6PdDWfbEMtdRjDG+QycOMWbNGNZ0XuM6iolgSclJdJjUgT5/72OV\n",
       "YwNksYKsqqtEZASwHEgGfgA+BAoD40SkPbANeCibchqT44YsH0KDqxpQ7qJyrqMYY3yfrPyEu666\n",
       "yyZqMDnq/WXvkz9Pftpd1851FBMistTF4px2aJd/TAg6fuo45d4tx4yWM6hWvFpQ9x3Kl2vByqxx\n",
       "J1mTqTy4MsObDKfulXVdx/ldKJdZK6+Zt/O3nVw79FrmtZ1HlUuruI5jsllWy6vNpGcMMHzlcG68\n",
       "7MagV46NMWc2c8tMzs97PnVK1XEdxUSwrlO78tSNT1nl2PxJVvsgGxMxTiWd4s0FbzL6gdGuoxhj\n",
       "AgxaOoiutboiEpKNtSYCTNgwgXV719nx3/yFtSCbqDdmzRjKFClD7VK1XUcxxvi27N/Ckl+W8Mg1\n",
       "j7iOYiLU4ZOHeXrq03zQ6APy58nvOo4JMdaCbKJasibTd0Ff3r7rbddRjDEBhiwfQttr21LgvAKu\n",
       "o5gI9dK3L1GvXD1iysS4jmJCkFWQTVSbtHES+fPkp365+q6jGGN8x04d45OVn9iQiybHLPtlGWPX\n",
       "js3RSaFMeLMuFiZqqSp95veh5996Wh9HY0LIqNWjqHtlXcpeVNZ1FBOBTiefpsPkDvSr34+LC17s\n",
       "Oo4JUVZBNlFrzrY5HDpxiPsq3+c6ijHGp6oMXjaYLjd2cR3FRKiBiwdycYGLaVm9pesoJoRZFwsT\n",
       "tV6f/zov1H2B3Llyu45ijPHN/3k+J0+f5O/l/u46ijMikh+YC+QD8gJfq2pPESkKjAVK40/GpaoH\n",
       "nQUNQ9sObqPv/L4sfnyxXTk06bIWZBOVlv2yjI37NtKiegvXUYwxAQYtHcRTNz5FLone05OqngBu\n",
       "V9VrgerA7SLyN6AHMFNVKwKz/ecmg1SVp6Y8xfO1n+eqole5jmNCXPQegUxUe33+63Sr3Y28ufO6\n",
       "jmKM8f3y2y/M+mkWba5t4zqKc6p6zH+YF8gNHAAaA7H+8ligqYNoYevzdZ+z/eB2utfp7jqKCQNW\n",
       "QTZRZ/3e9SzYsYDHaz7uOooxJsAH33/Ao9Ue5YJ8F7iO4pyI5BKRlUACMEdV1wLFVTXB3yQBKO4s\n",
       "YJg5eOIgz057lg/v/dAaRkyGWB9kE3XeWPAGXWt15fy857uOElQiUgT4GLgaUKAt8CPWp9GEgJOn\n",
       "T/Lh9x8yp80c11FCgqomA9eKyIXAdBG5PdV6FRFN67W9e/f+/XFMTAwxMTE5mDQ89JjVg8aVGtu0\n",
       "5VEgLi6OuLi4c34fUU2zfOUYEdFg79OYFNsPbqfmhzXZ3HUzFxW4yHUcAEQEVc3xu0VEJBaYq6rD\n",
       "RCQPcD7wIrBPVd8UkReAi1S1R6rXWZk1OW7U6lEMXzmcWa1nuY5yVsEqswH7+xdwHHgciFHV3SJS\n",
       "Eq9luXKqba28prLg5wU8NP4h1nZeS5H8RVzHMUGW1fJqXSxMVOm/sD/tr2sfMpXjYPFboW5R1WEA\n",
       "qnpaVQ9hfRpNiBi8bDBda3V1HSMkiMgl/hUfRKQAUB9YAUwEUjpotwEmuEkYPhKTEuk4uSNv3/W2\n",
       "VY5NplgXCxM19hzdw6j4UdE6c1JZYK+IDAdqAN8Dz2J9Gk0IWL5rObsO76JRxUauo4SKkkCsiOTC\n",
       "a8gaqaqzRWQFME5E2uN3iXKYMSz0X9if0kVK82DVB11HMWHGKsgmaryz+B0evvphShYu6TqKC3mA\n",
       "mkAXVV0mIgNJNURUen0ajclJ7y17j843dLYxyX2qGo9XXlMv3w/UC36i8LR5/2beWvQWyzsstzGP\n",
       "TaZZBdlEhUMnDvHB9x+w9ImlrqO4shPYqarL/OfjgZ7AbhEpEdCncU9aL7abfkxO2Xt0LxM2TGBz\n",
       "182uo5xRdt30Y4JHVek0uRM9/9aTMkXKuI5jwpDdpGeiQt/5fYnfE8+o+0e5jvIXQbxJ7zvgcVXd\n",
       "JCK9gYL+qv+p6hsi0gMoYjfpmWD6z3f/YcuBLQxvMtx1lAwL9k16mWHl1TNy1UjeWvwWy55YRp5c\n",
       "1hYYzbJaXq2CbCLe8VPHKfduOWa0nEG14tVcx/mLIFaQa+AN85YX2II3zFtuYBxwJWcY5s3KrMkp\n",
       "e47uoep7VVnYfiEVL67oOk6GWQU5tO07to9r3r+GSY9M4sbLb3QdxzhmFWRjzuD9Ze8zbfM0Jj4y\n",
       "0XWUNIXyyRaszJqc0/mbzuTLnY+3G7ztOkqmhHKZtfIK7b5uR+G8hXnn7ndcRzEhIKvl1a47mIh2\n",
       "KukU/Rb247P7P3MdxRgTYO2etYxfN54NXTa4jmIiSNy2OGb9NCtaRysy2cjGQTYRbcyaMZS+sDS1\n",
       "S9V2HcUYE+AfM//Bi7e8SNECRV1HMRHixOkTdJzckUF3D6JwvsKu45gwZy3IJmIlazJ9F/Tl7bvC\n",
       "6/KtMZFu+ubpbN6/mQnNbZ4Lk31en/c6V196NU0qN3EdxUSALFeQ/Vl+PgauBhTvhp8fgbFAac5w\n",
       "w48xwTJp4yTy58lP/XL1XUcxxvhOJ5+m24xu9Kvfj7y587qOYyLE+r3reX/5+6zsuNJ1FBMhzqWL\n",
       "xTvAFFWtAlQHNuBNPDBTVSsCs0k1EYExwaKq9Jnfh55/62kDxBsTQoatGMal519K40qNXUcxESJZ\n",
       "k+k4uSO9buvF5Rdc7jqOiRBZqiCLyIXALao6DEBVT6vqIaAxEOtvFgs0zZaUxmTSnG1zOHjiIPdV\n",
       "vs91FGOM77eTv9ErrhcD7hxgf7iabDNsxTBOJp3kyRuedB3FRJCsdrEoC+wVkeFADeB74FmguKom\n",
       "+NskAMXPPaIxmff6/NfpUbeHTV1rTAjpO78vDa5qQM2Sf5lF2ZgsSTiSwD9n/5OZrWba8d5kq6xW\n",
       "kPPgzRPfRVWXichAUnWnUFUVkTQHY7Rpa01OWr5rORv3baRF9Rauo6TJpq010Wj7we188P0HrO60\n",
       "2nUUE0Gen/E8j137GDVK1HAdxUSYLE0UIiIlgEWqWtZ//jegJ1AOuF1Vd4tISWCOqlZO9dqoH8Tc\n",
       "5Kz7x97PbaVv45mbn3EdJUNCedIBsDJrssejXzxKpYsr0Suml+so5yyUy2w0ldfpm6fz5DdPEv9k\n",
       "POfnPd91HBOislpes9QHWVV3AztEJGVu0HrAWmAS0MZf1gawMXxMUM36aRbf//o9j9d83HUUY4xv\n",
       "8c7FfLf9O7rX6e46iokQx04do/OUzrzf8H2rHJs0HT0Kffpk/fXnMopFV2CUiKzCG8XiNaAvUF9E\n",
       "NgF3+M+NCYrjp47TaXIn3r/HDpjGhApV5bnpz/HaHa9ZuTTZ5pW5r1Dr8lo0uKqB6ygmxJw6BUOG\n",
       "QIUKsGpV1t8ny+Mgq+oq4MY0VtXLehxjsu7V716lZsmaNKzY0HUUY4xv3NpxJCYl0qpGK9dRTIRY\n",
       "nbCaYSuGEf9kvOsoJoQkJ8Pnn8NLL0GZMjBxItxwA4wbl7X3s5n0TESIT4jnox8+shuAjAkhJ06f\n",
       "4IVZLxDbNJZcci4XLI3xJGsyHSZ14LU7XqN4IRsoy3hmzYIe/lARQ4ZAvWxoqrUKsgl7yZpMh8kd\n",
       "+M/t/6Fk4ZKu4xhjfO8sfoeaJWtyW5nbXEcxEWLo8qHkyZWH9jXbu45iQsDy5dCzJ2zbBq+9Bs2a\n",
       "Qa5s+lvcKsgm7A1dPpTckpsnrn/CdRRjjG/P0T30W9iPRe0XuY5iIsSuw7voFdeLuY/NtSsSUe7H\n",
       "H+HFF2H+fPj3v6F9ezjvvOzdh33DTFhLOWB+0OgDO2AaE0J6zelF6xqtqXBxBddRTIR4eurTdLq+\n",
       "E1Uvreo6inHk11/hySehdm249lqvotypU/ZXjsFakE2YSzlgXl3satdRjDG+tXvW8sX6L9jYZaPr\n",
       "KCZCTNo4idUJq/n0/k9dRzEOHDwI/frB0KHQti1s3AgXX5yz+7QKsglbEzdOtAOmMSGo+8zuvHTr\n",
       "S1xU4CLXUUwEOJJ4hC5TuzC8yXDy58nvOo4JohMnYPBgePNNaNQIVqyAK68Mzr6tgmzC0uGTh+ky\n",
       "pQuxTWPtgGlMCJm2eRo/HfiJJ2940nUUEyH+Peff3F7mdu4oe4frKCZIkpJgxAjo1Qtq1oQ5c+Dq\n",
       "IF8otgqyCUv/mvMv/l7u79xe9nbXUYwxvtPJp+k+ozv96vfjvNw50CnQRJ3vd33PZ/GfsabzGtdR\n",
       "TBCoeuMX//OfXheKMWOgTh03WayCbMLOsl+WMWbNGNZ2Xus6ijEmwH9/+C/Fzi/GvRXvdR3FRIDT\n",
       "yafpMLkDb9R7g0sKXuI6jslh8+Z5YxkfPux1qbjnHhBxl8cqyCaspBww+9/Zn4sL5nAPfWNMhh06\n",
       "cYjec3sz5dEpiMuzmokYg5YMokj+IrSu0dp1FJOD4uO9sYzXrIFXX4VHH4XcuV2nsmHeTJgZuHgg\n",
       "lxa8lBbVWriOYowJ8Pr817n7qru5ruR1rqOYCLDt4DZem/caQxsOtT+4ItS2bdC6tTfrXf363sgU\n",
       "rVqFRuUYrAXZhJGtB7bSd35fljy+xA6YxoSQrQe28tEPHxH/ZLzrKCYC7Dm6hwafNqDXbb1sHO0I\n",
       "tHevN+vdyJHQpYs3lvEFF7hO9VfWgmzCgqrSeUpnutfpTvmi5V3HMcYE6Dm7J8/c9AyXFb7MdZSI\n",
       "ICKlRGSOiKwVkTUi8rS/vKiIzBSRTSIyQ0SKuM6a3Q6eOMhdn97FQ1c/RNeburqOY7LRkSPwyitQ\n",
       "pYo3SsW6dfDyy6FZOQarIJswMXbtWH757Re61e7mOooxJsCiHYtYsGMB3et0dx0lkpwCnlPVq4Gb\n",
       "gadEpArQA5ipqhWB2f7ziHHs1DEafdaIW668hZdjXnYdx2STxERvLOMKFbxuFEuXwqBBULy462Tp\n",
       "sy4WJuTtP76f56Y/x1cPf2VDRxkTQlSV56Y/R587+lDwvIKu40QMVd0N7PYfHxGR9cDlQGPgNn+z\n",
       "WCCOCKkkJyYl8sC4ByhftDwDGwy0bnQRIDnZG6btX/+CihVh6lRveuhwYRVkE/JemPkCD1R5gJuv\n",
       "uNl1lLAmIrmB5cBOVb1XRIoCY4HSwDbgIVU96DCiCTNj147ldPJpWlS3m2ZzioiUAa4DlgDFVTXB\n",
       "X5UAhHgbXMYkJSfR8suW5M+Tn/82/i+5xC5uhzNVmD7dG5kib174738hJsZ1qsyzCrIJad9t/46p\n",
       "m6ey7ql1rqNEgmeAdUBh/3nK5do3ReQF/3lEtEaZnHf81HF6zOrBiPtGWIUmh4hIIeAL4BlVPRzY\n",
       "qqqqKiKa1ut69+79++OYmBhiQrh2oqp0nNyRAycOMPmRyeTJZdWScLZkiTeW8a+/Qp8+cN99wR/L\n",
       "OC4ujri4uHN+H1FNs3zlGBHRYO/ThKeTp09SY2gN+vy9D/dXud91nBwjIqhqjh5CROQK4BPgNeB5\n",
       "vwV5A3CbqiaISAkgTlUrp/FaK7PmL/rO78uyXcv44qEvXEcJuiCV2fOAycBUVR3oL9sAxKjqbhEp\n",
       "CcxJXWbDqbyqKt1ndGfhzoXMbDWTQnkLuY5kskDVmwr69ddhwwb497+hbVvIEyJ/62S1vIZIfGP+\n",
       "qu/8vlS+pDL3Vb7PdZRI8DbwDyDwfuGIvFxrcl7CkQT6L+zP4scXu44SkcRrKv4vsC6lcuybCLQB\n",
       "3vD/neAgXrZ5bd5rzPxpJnMfm2uV4zCUnOxNC/3663DoELzwArRo4XWriARWQTYhacO+DQxaOogV\n",
       "HVfYzRrnSEQaAXtUdYWIxKS1TXqXayG8LtmanNcrrhdtarThqqJXuY4SFNl1yTYT6gItgdUissJf\n",
       "1hPoC4wTkfb49w0EM1R2GrRkELGrYpnXdh4XFbjIdRyTCadOwejR8MYbUKCA19e4adPQmeAju1gX\n",
       "CxNykjWZ22Nv54EqD/D0TU+7jpPjcvpyrYj0AVoBp4H8eK3IXwI3cpbLtf7rrcya38UnxFNvZD02\n",
       "PLUhais2wehikVXhUF5HrBrBS9++xLy28yhdpLTrOCaDjh3zbrjr3x/Kl/cqxvXqBb+PcWZltbza\n",
       "nRUm5AxfMZzjp47z1I1PuY4SEVT1n6paSlXLAs2Bb1W1FX9croUIuFxrcp6q0m1GN1665aWorRyb\n",
       "c/PV+q94YdYLTG853SrHYeLgQW/mu7JlYfZsGDcOvv3Wmx461CvH58K6WJiQknAkgZ6zezKz1Uxy\n",
       "54qw6zWhI6V5KWIu15rgmLZ5GtsPbafTDZ1cRzFhaNZPs+g4uSPTWk6jyqVVXMcxZ7F7N7z9Nnz8\n",
       "MTRq5FWKr77adargOacKso2rarLbc9Ofo+21balRoobrKBFJVecCc/3H+4F6bhOZcHE6+TTdZnSj\n",
       "f/3+NmGPybRFOxbxyBeP8OVDX1KzZE3XcUw6fvoJ+vWDsWO9m+5++AFKR2Fj/7l2sUgZVzWlRSqi\n",
       "p8E0OWva5mks3rmYXjG9XEcxxqQycPFAShYuSaOKjVxHMWFmdcJqmo5tyoimI7il9C2u45gzWL3a\n",
       "qxDXqgVFi3pDtg0aFJ2VYziHCrI/ruo9wMdASi+UxnjTX+L/2/Sc0pmocTTxKJ2/6cyQhkNsylpj\n",
       "Qsx327+j38J+fHzvxzaqjMmUH//3I3ePuptBdw/i7gp3u45j0rBggdeF4q67oHp12LLF63NcrJjr\n",
       "ZG6dSxcLG1fVZJuX575M7VK1ueuqu1xHMcYE2HV4F83HN2dE0xGUvais6zgmjOw4tIP6I+vzcszL\n",
       "PHS13eIQSlRh2jRvDOOdO+Ef/4DPP/eGbTOeLFWQz3VcVRtT1QRauXsln6z8hDWd17iOEhQOxlQ1\n",
       "JksSkxJpNq4ZnW/sbH+8mkzZe3Qv9UfWp2utrjxe83HXcYwvKQnGj4e+fb3HPXrAQw+Fzqx3oSRL\n",
       "4yCfy7iq4TBGowmepOQkav+3Nh2v70j7mu1dx3EilMdUBSuz0azLlC78fOhnJjSfQC6xUUFThHKZ\n",
       "DYXyeujEIW6PvZ2GFRry6h2vOs1iPCdPQmwsvPkmFC/ujWHcsGFkD9OWIqjjINu4qia7vLfsPQqe\n",
       "V5B217VzHcUYE2DkqpFM3zKdEfeNsMqxybBjp47RaHQj6paqyyu3v+I6TtQ7fNib2KNcOfjqKxg2\n",
       "DObP9/ocR0Pl+FxkV6O6jatqMm3HoR28MvcVFrRbYDf+GBNCVu5eyfMznmdOmzkUyV/EdRwTJhKT\n",
       "Enlg3AOULVKWd+5+x47rDu3bB+++C0OGwB13wOTJcN11rlOFl3OuINu4qiYrkpKT6DC5A11rdaXS\n",
       "JZVcxzHG+PYf388D4x5g0N2DuKbYNa7jmDCRlJxEyy9bkj9PfoY1GWZXHRzZscNrMR45Epo1g4UL\n",
       "oUIF16nCk32DTdCpKk9PfZpTSafoeUtP13GMMb5kTablly1pUqkJza9p7jqOCROqSsfJHdl/fD+j\n",
       "HxhNnlx2x1ewbdgAbdtCjRpw3nkQHw8ffmiV43Nh32ITdP0W9mPez/OY13YeeXPndR3HGON7Oe5l\n",
       "jp46yhv13nAdxYQJVaX7jO6s2bOGWa1nkT9PfteRosry5d5QbfPmQZcusHmzN8mHOXdWQTZBNTp+\n",
       "NIOXDmZh+4VcmP9C13GMMb7JmyYzbOUwlj+x3KaSNhn22rzXmPnTTOIei6NQ3kKu40SFkyfhyy9h\n",
       "6FBvWuhu3WDECDj/fNfJIotVkE3QzN02l2emPcPs1rO54oIrXMcxxvg2799Mu6/b8XXzryleyOZ3\n",
       "MhkzaMkgYlfFMq/tPIoWsGbLnLZ1q9dtYtgwuOYa6NoVmjTxulSY7GcVZBMUa/es5aHxDzGm2Riq\n",
       "Fa/mOo4xxnc08Sj3j72f3jG9qV2qtus4JkyMWDWCNxe+yby28yhRqITrOBErKQmmTPFGo1i6FFq1\n",
       "gu++g0p2b3uOy9JEIee0wxAYxNwE167Du6jz3zr8547/0LJ6S9dxQk4oTzoAVmYjmarS4ssWnJf7\n",
       "PD5p8okNy5VBoVxmg1FeJ2yYQKfJnZjTZg5VLq2So/uKVrt3w3//67UYlygBTz4JDz9sU0FnRVbL\n",
       "q7Ugmxx1+ORhGn7WkA7Xd7DKsTEh5t0l77J+33oWtltolWOTIbN/mk2HSR2Y2mKqVY6zmSrExXmt\n",
       "xTNnwoMPepN71KzpOll0shZkk2NOJZ2i0ehGlLmwDEMbDbUT8BmEcmsUWJmNVPO2z6PZ581Y3H4x\n",
       "ZS8q6zpOWAnlMpuT5XXxzsU0Ht2Y8Q+N59bSt+bIPqLRgQPeTXZDh0KuXF5rcatWcKHdx54trAXZ\n",
       "hJSUcTHPy3Ue7zV8zyrHxoSQXYd30fyL5sQ2jbXKscmQ1QmraTKmCZ80/cQqx9lk2TKvtfjLL+Ge\n",
       "e+CDD+CWW2wK6FBhFWSTI16Z+wrxe+KJaxNng8YbE0ISkxJ58PMH6XR9Jxpc1cB1HBMGNu/fzN2j\n",
       "7ubdBu9yT4V7XMcJa0ePwpgxXsX4f/+Djh1h0yYoVsx1MpOa1VxMthu2Yhixq2JZ1H4R5+e1gRmN\n",
       "CSXdpnfj4gIX8+KtL7qOYsLAzt92Un9kfXrf1puHr3nYdZywtW6d14Vi1CioWxdefRXuvBNy53ad\n",
       "zJyJVZBNtpq+eTr/nP1P5j4218ZTNSbEfLr6U6ZtmcayJ5aRS3K5jmNC3N6je6k/sj5P3fgUT1z/\n",
       "hOs4YScx0bvJbsgQ2LgR2reHFSvgyitdJzMZYRVkk21W/LqCVl+14quHv6LSJTZIozGhZNXuVTw3\n",
       "/Tm+bf0tRfIXcR3HhLhDJw7RYFQDHqjyAN3rdHcdJ6xs2/bHhB5Vq8JTT0HTpjahR7ixCrLJFtsP\n",
       "bufe0ffyfsP3qXtlXddxjDEBDhw/wP3j7ufdBu/aRD3nIDkZpk51nSLnHTt1jHtH30vtK2rz6u2v\n",
       "ujS1+McAAB5ZSURBVI4TFpKSYNo0r7V48WJvFIq4OKhc2XUyk1VWQTbn7MDxA9w96m661+lOs6rN\n",
       "XMcxxgRI1mRaftWSeyveyyPVHnEdJywdOgTDh8N778EFF7hOk7MSkxJpNq4ZpYuU5t2737URiM4i\n",
       "IeGPCT2KFfOGaBs3DgoWdJ3MnCvrhGbOycnTJ7lv7H3cVf4unr35WddxjDGpvDL3FQ6fPEy/+v1c\n",
       "Rwk7GzZAly5QtqzXKhgbC8uXu06Vc5KSk2j1VSvy5s7L8CbDrZ/6GaRM6NG8uddCvHUrfPGFNxV0\n",
       "27ZWOY4U1oJssixZk3ns68e4pOAlDLhrgOs4xphUvtn0DR//8DHLOyznvNzWATIjkpNhyhQYNAhW\n",
       "roQOHSA+Hi6/3HWynKWqdJrciX3H9vHNo9/Y8JxpOHjwjwk9wGstHjoUiliX/ohkJcBkWc9ZPfn5\n",
       "0M/MajXLWhqMCTFb9m+h7ddtmdB8AiUKlXAdJ+SldKMYPNir8Dz9NHz9NeTPH/wsIjIMaAjsUdVq\n",
       "/rKiwFigNLANeEhVD2bH/hKTEuk2vRvxe+KZ2Wom+fM4+NAh6vhx7w+m0aO96Z/vucerFNuEHpHP\n",
       "ajUmS95b+h4TNk5gYvOJFDivgOs4YSk5GebMcZ3CRKJjp45x/7j7+fdt/6ZOqTqu44S09eu9UQbK\n",
       "lvUukY8c6c1w1rq1m8qxbziQehaXHsBMVa0IzPafn7Olvyzl+g+vZ+vBrUxpMYXC+Qpnx9uGtVOn\n",
       "vJsxW7eGyy7zbry7+26vK8Xo0XDrrVY5jgaSU3O2n3GHOThPvAmOrzd8zZPfPMn8dvMpd1E513HC\n",
       "zs8/e30Zhw+HQoUgPj5r88RnhoiUAkYAxQAFPlTVdzPSKmVlNryoKq2+aoWIMKLpCLvJKg0p3Sje\n",
       "fRdWr/ZmM+vY0asMZYRIUMpsGWBSQAvyBuA2VU0QkRJAnKr+ZYyEjJbXo4lH+decf/FZ/GcMbDCQ\n",
       "h69+OKq/K8nJMG+eVwH+4guoUAEeeQQefBBK2AWYsJbV8mpdLEymLNm5hMcnPc6UR6f8f3tnHh51\n",
       "de7xzwkEkH0JCWGJQBVFRFkFYpAIKCAIKl4WL7YX1+utSu0VWq3VtGpt6X2sz7WPrS0iuFwiolAU\n",
       "AUEJi2ENuxIUQ0IiWVhCzAZJZs7948wwQwhkkszM7zeT9/M8v2cmGPJ7Pfl9Od95z3veI+a4Dpw9\n",
       "CytWmL6YaWlmc8eHH8KgQRARnHWcSuAprfVepVRrIE0ptQ6YjclKzVdK/QqTlfJLZkoIPg6ng3nr\n",
       "5vH1ia/56oGvGrXhqYkzZzzdKDp0MGUU06ZB8+ZWR+YTMVrrfNf7fKDeJzF9kfEFD3/yMPE94jn4\n",
       "XweJahnlnwhDDK3NpsslS+CDD6BzZ2OKd+6Enj2tjk6wGjHIgs8cOX2Euz64i7envM3QbkOtDsf2\n",
       "aG1OTVq4EJKTjRmePdvUNV4R5KoUrXUekOd6X6KUOgR0AyYDo1zfthhIQQxySFJaUcqs5bM4XX6a\n",
       "9fevp2WkbKV3c+iQ2XSXnGyWyt97D4YNC91lcq21VkrVeVmnsLyQpz9/mnUZ6/j7pL9zx9V3BCI8\n",
       "23PwoHkWkpNNgmLmTFi/Hvr2tToywU6IQRZ84kTpCSa8P4GkUUlM6jPJ6nBszcmT8P77JlNVVGRM\n",
       "cVoaXHml1ZEZXEu3A4Ht+DErJVjH8eLjTF4ymX7R/UiemkzzpqGREg0kDoenG8WBA6YbxcGDvpdR\n",
       "2JB8pVQXrXWeUioWKLjUNyYlJZ1/n5iYSGJiIh8f+pgnVj/BXdfcxcH/Okjb5mHe0LkaGRnGEC9Z\n",
       "YlYSZswwWeNBg0L3g5JQMykpKaSkpDT459SrBlnqGRsXZZVljHlnDLf2vJU/jPmD1eHYEocDPv/c\n",
       "ZIvXrYNJk+CBByAxsfYSimDUM3rdqzWwEXhRa71CKVWote7g9d9Pa607Vvs7+oUXXjj/tXvCFezB\n",
       "vrx9TE6ezCODHuHZkc82+rKKo0dNjf+iRebghiefNHWkDSmjqD7h/u53v7OiBnk+cEpr/Sel1K+B\n",
       "9lrri1Z7qs+xeSV5PP7Z4xwoOMCCOxcw8sqRgQzbVhw/bkxwcrJ5Lv7t30y2OD4+aKVtgg2o7xxb\n",
       "X4PcBejiXc8I3IWpZzzpVc/YobqAxSCHFidKTzDzo5l0ad2Fd+9+t9FPvtX57juTKX7nHdMndfZs\n",
       "k5moS1/MYBlkpVQk8CmwWmv9muvP0oFEr6zUhuobf0Sz9uWz7z7jZyt+xusTXmfG9TOsDscySkvN\n",
       "xqq33zZZ4vvuM1ocMCAw9wu0ZpVSSzClT1GYlZ3ngX8BS4E4LtPmza1XrTWL9y1m3rp5PDToIZ4f\n",
       "9XyjaN926hQsW2ZM8b59MGWK+Td5zBhoKmvmjZKgGuQabr4C+KvruuwuW5lsQ4fU7FRmLJvBff3v\n",
       "46XRL0njeBclJeYf4IUL4fBhmDXLTMbXX1+/nxekHfEKU2N8Smv9lNef15qVEs3ak7/u+Csvb36Z\n",
       "j6d9zIgeI6wOJ+hoDV99ZUzxxx9DQoLR4aRJ0KxZYO8dzFWfuqKU0hmnM3j000c5VX6Ktya/xYAu\n",
       "AfqkYBOKi80m6ORk2LIFxo83pnjCBEtb9Qk2wTKD7FoG2ghcDxxzL9e6JuTT3su3rj+XydbmaK15\n",
       "bdtr/PGrP7LgzgXcec2dVodkOVpDaqqZjD/6yDSJnz0bJk5s+GQcJIOcAGwC9mPKogCeAXZQS1ZK\n",
       "NGsvHE4HT619ivUZ6/n0vk8bXTeZ7GyzYrNoEURGGh3OmgWxscGLwe4GudOfOjHv5nn8csQvwzax\n",
       "Uf0Aj1tuMaZ48mRoI62cBS8safPmKq/4CJijtS72Xn6/3C7bmjYQCPag6GwRD6x8gGNFx9j24DZ6\n",
       "dehldUiWobVp97N0qWnJ1qoV/Md/wDffNGwy9tcGgrqgtd7CpQ8GGhvMWIT6U3yumJkfzeRs1VlS\n",
       "H0ylfYvGccZtebnJEL79ttnwOn262Qg7dKhssKqJ1AdT6dOpj9Vh+J3KStNtYskS+OQTs8Fu5kz4\n",
       "xz+gY8fa/74g1IV6Z5ClnjH82Ju3l3uX3su4n4zj1XGvNsqd8FrD7t3GFC9dajJU06ebq1+/wEzG\n",
       "ds5GgWjWLmQXZXPnkjsZ2nUob0x8g8gmkVaHFFC0NifbLVpktDhkiMkW33WX9cvmdtZsuOm1+gEe\n",
       "V13lOcAjmKsGQugS1Ayyq3ziLeAbtzl2sRL4GfAn1+uK+vx8IbhorVmwewHPfvlso9zso7XZzOE2\n",
       "xWAOD1ixAm64QTJUgvWkHU9jSvIU5gybw9PxT4f1ZtncXHPc86JFJmM4ezbs3Qs9elgdmRAsKith\n",
       "2zZYvtx0oYiKMqZ4xw5zJLggBIP6drGQesYwobSilMdWPcbu3N0sm7aMa6MuOrk0LNHa7HZ3m+KK\n",
       "CmOKp0+HgQODa4rtnI0C0azVrEhfwcOfPMybk97knr73WB1OQDh3ziyZL1pkNt5NnWqMcXy8PT+g\n",
       "2lmzoarXnBxYs8ZcX3xhjPCkSaau+LrrrI5OCGUs7WJRpxuGqHjDkfST6dy79F4Gdx3MG3e8Qatm\n",
       "rawOKeAcOmQyEkuXmm4UblM8ZIh1E7GdJ1sQzVqF1ppXt77Kq9teZcX0FWF3emVVFWzaZDrCfPgh\n",
       "9O9vavynTjX1/nbGzpoNFb1WVJiOE2vWwOrVpmfx7bebDhTjxkGXLlZHKIQLlmzSE0KXJQeW8OSa\n",
       "J3llzCs8OPDBsF6y/fZbjykuLDS1awsXwk03SbN4wZ5UOip5YvUTpGansvXBrcS1i7M6JL9QWQkb\n",
       "NhhTvGKFOV1y6lRZOm8sZGUZM7x6NaSkwDXXmFZs//yn2XDZpInVEQqCBzHIjYxzVed4au1TrMtY\n",
       "x7r714Vtf8wjRzzlEwUFcO+98Pe/w4gRYooFe1N0tohpy6bRRDVhywNbQv5I4HPnTOeBZctg5Uro\n",
       "08focccO6NnT6uiEQHL2rFklcGeJT50y2eFp02DBAujc2eoIBeHSSIlFI+Jo4VGmLZtGXLs4Fk5e\n",
       "SLsW7awOyW84naYl26pV8OmnZrlu6lRTPnHzzfbOTNh5uRZEs8Ek80wmk/5vEok9E3lt/Gsh28O2\n",
       "vNwcvb5smdFj//5Gj/fcEx6b7eysWav1euSIxxBv3mx+9+PHm0zxoEGSoBCCj9QgC5flk8Of8NAn\n",
       "D/FMwjPMGTYnLEoqzpyBtWuNKV6zBqKj4Y47zOEdCQn2NsXe2HmyBdFssNies527P7ibXyf8mieH\n",
       "PWl1OHWmtNSYomXLjB4HDTKZ4rvvDr92XHbWbLD1WlZmyiVWrza/95ISjyEeO1b6EwvWIwZZqJEq\n",
       "ZxW/+eI3LDm4hA/u/SCkj6TV2hzSsWqVufbsMSfaTZxojHGoLtfaebIF0Www+PDrD/n5Zz9n4ZSF\n",
       "TOozyepwfKa42GSIP/rInGY2fLgxxVOmmA+s4YqdNRtovWoNhw97ssSpqebD0IQJxhjfeKM9O48I\n",
       "jRcxyMJFHC8+zoxlM2gZ2ZL37nmPqJZRVodUZ8rKzKaeVavMsaJaG0M8cSLceiu0bGl1hA3HzpMt\n",
       "iGYDidaaP275I3/b9TdWzlwZEnsCzpwxLdmWLTOZw4QEY4onT4ZOnayOLjjYWbOB0GtJCXz5pccU\n",
       "V1V5ssRjxkC78KnWE8IQ6WIhXMAXGV9w//L7eWzIY/zmlt8QoUKn8Csz05jhVatMDdvAgcYQr1pl\n",
       "+mFKdkIIB8oqy3j8s8fZl7+PbQ9to2ubrlaHdEmOHjU1xStXGk2OHm26wSxeDO0bx2nXjQqt4euv\n",
       "PYZ4xw7T9WfCBPPhKFCnigqCnZAMcpjh1E5e3vQyb+x6g/fufo8xvcdYHVKtVFaaZTp36URBgfmH\n",
       "eOJE0xezQwerIwwsds5GgWjW35yrOsc/0v7BK1teYXSv0bw56U3b9SAvKTHZ4bVrzVVUZLToXr1p\n",
       "08bqCK3Fzpqtr16LiswBHe5a4qZNPWUTo0dD69YBCFYQgoBkkAUKSgv46fKfUlZZRtojabbOSGVm\n",
       "ejZ2fP459O5tJt633pJ+mEJ4Uumo5J197/D7Tb+nf3R/Vt23ioGxA60OC/Act+42xDt3msNzxo0z\n",
       "PcRvvFG6D4QTTqepI962DbZuNa8ZGaZcZvx4ePpp045PssRCY0YyyGFA1pksXt36Ku/uf5dHBz/K\n",
       "i6NftFV7KK3NP74bNxpTvHGj6Y85apSZgCdMgK729fIBx87ZKBDNNhSH00HywWSSNiYR1y6Ol259\n",
       "yRabZQsKzMa6tWvNh9S2bY0ex42DxETJGF4OO2u2Jr0WFpoyCbcZ3r7ddJcYPtxcI0bADTdAs2YW\n",
       "BS0IAUQ26TVC9uXt48+pf2b1kdU8NPAh5gyfY4ussdamF6bbDKekmIzFqFFm4h01ypygJNkJg50n\n",
       "WxDN1hetNcvTl/P8hudp27wtL41+idG9RlsWT0WFMUjuLPH335uNrm5TLCfZ+Y6dNauU0vv36/Nm\n",
       "eOtWyMkxKwJuMzxsGMTEWB2pIAQHMciNBK01KZkpzE+dz/78/cwZNodHBz9q6aEf7rY/3hniiAiP\n",
       "GU5MhKuuEkN8Kew82YJotq5orVlzZA2/3fBbnNrJS6NfYsJVEyzpPX7kiCdDnJJils3dhnj4cIiM\n",
       "DHpIYYGdNauU0n366PNmePhwuP56U1MsCI0RMchhjsPpYHn6cuZ/NZ8fz/3I3Pi5zLphFs2bNg96\n",
       "LO5+xBs3eq7mzT2GeNQoU1Mshtg37DzZgmi2LqRkpvDcl89xuvw0L976Inf3vTuoHWRyckzGcMMG\n",
       "Y4zLy83munHj4LbbICr0Oj3aEjtrVvQqCBciBjlMKa8sZ/G+xfxP6v8Q3SqaX938K+685s6gTrpO\n",
       "p2n5484Ob9pk6hO9SyZC9ZAOO2DnyRZEs76wPWc7z214jozCDJJGJXFf//toEhHYnaaVlbB/v+kA\n",
       "477KyiA+3hygc/vt5phf+aDqf+ysWdGrIFyIGOQw43T5af6282+8vuN1bup2E/NunkdCXELA76u1\n",
       "6TCxa5fn2r3bZJ7c2eFRoyAuLuChNBrsPNmCaPZy7M3by/MbnmdP3h5+e8tvmT1gNpFNAlO3cOqU\n",
       "qSl1m+Fdu8wH0/h4zyWlTMHBzpoVvQrChYhBDhOyi7L5y7a/sGjvIqZcO4W58XO5rvN1AbmX1nDs\n",
       "GKSlecxwWhpccYXZ0DF4sOc1nI+NtRo7T7Ygmq2J9JPpvJDyApuyNvFMwjM8MvgRWjRt4bef73RC\n",
       "eroxwlu3mtcffjCbq9xmeNgwOaTDKuysWdGrIFyIGOQQ52DBQf6c+mc+/fZTZg+YzS+G/4Lubbv7\n",
       "7edrbSZYbzO8a5fpNzx0qMcIDx4MsbF+u63gA3aebEE0601GYQa/3/h7Vn23iv8e8d88cdMTfjnk\n",
       "o6TE9B52Z4e3bjUH5Hhnh6+/XvqD2wU7a1b0KggXIgY5BNFasylrE/NT57M7dzdzhs3hP4f8J+1b\n",
       "NDwtlJvryQi7zbDTaYyw+xo82PQfliVZa7HzZAuiWYCcH3N4edPLfPjNhzx+0+M8NfypeneOKS01\n",
       "Nf0HDsCePcYMp6fDgAEeMzxiBHTp4uf/CcFv2FmzoldBuBAxyCGEw+ngX4f/xfyv5nO6/DRz4+dy\n",
       "/43312uJtrQUvv0WDh0yk+y+fcYMnz17sRnu0UPMsB2x82QLjVOzDqeDtNw01mesZ33Gevbk7eHh\n",
       "QQ8z7+Z5RLX0rRWEw2HarB044Ln274fjx00f8P79zQl18fEwaJDpBCOEBnbWbGPUqyBcDjHINqa8\n",
       "spydx3eyOWszm49tZmvOVq7rfB1z4+cy5Zopte5219qceuU2wenpnvcFBXD11XDttdC3r1mGHToU\n",
       "rrxSzHCoYOfJFhqHZrXWHDl9hHUZ61ifsZ6UzBS6te3G2F5jGdt7LLdceQttmre5xN+FvLwLjfCB\n",
       "A0afMTHGCN9wg3nt39/oVXrShjZ21mxj0Ksg1AUxyDaisLyQ1OxUNh8zhnhf3j76RfdjZNxIEuIS\n",
       "SIhLqDELVVUFR4/WbIQjIowBdhvha681V8+eUpcY6th5soXw1Wx+ST5fHv3SZImPrsfhdHDbT25j\n",
       "bK+xjO41mtg2Fxfjl5R4yiO8L6fzYiPcrx+0qdlTCyGOnTUbrnoVhPoiBtlCcn7MYcuxLeczxEfP\n",
       "HGVYt2HnDfHw7sPPb+TRGgoLISPjYhOckWE2yLnNr7cR7tzZ4v9JIWDYebKF8NFsSUUJm7M2nzfE\n",
       "WWeySOyZyG29b2Ns77H06dQHpRTFxZCVZT6sZmaa6/vvjRHOzTV6dJtg9xUbKys2jQk7azZc9CoI\n",
       "/sI2BlkpNR54DWgCLNBa/6nafw9p8WqtST+ZbgyxK0NcUlFCQlwCI+NGMqBjAh0rBpL3QyTZ2Zy/\n",
       "cnI875s2NZnfvn0vNMF9+pgWa0LjwurJNlw1W+WsYucPO88b4rTjaQzpOoRbuo+lb/OxtCoaQnZW\n",
       "0/Mm2G2Iy8qMPr2vXr1M+ZKURwhgrWbDVa+CEChsYZCVUk2Aw8BY4AdgJzBTa33I63tsLd6UlBQS\n",
       "ExPPf13pqGRP3h42Z20m5egWvsreQjNa07vJSKLKRtIsN4HizGvJyVZkZ5ul1h49PFf37hd/3bat\n",
       "f2KzG3aOz86xWTzZhrRm3b9XrTXFFcVkncli3XcprDq0nu35G+mgehJbPpYWx8dSemgk2d+3orjY\n",
       "1OhXN8Du99HR/ssG2/m5k9jqj1WaDRW92uH3JzFYf3+7xFBfvfo7F3ITcERrnekKKhmYAhy63F+y\n",
       "gjOlpXyXW0BGfj5ZJwv44UwBuT/ms+NfK2mzsRdnKgso0QUUN8kisqQXzsyR6KzpdKt6nd5R3T3m\n",
       "dyD0mOwxv+3bB26p1Q4P2uWwc3x2js1ibK3ZqirN0bzTHD6ey5H8XLJO5ZJTlEteSS4nzx0ne8M2\n",
       "GNmM8qa5aKcioqQ7OiuB6JKZDGn2T/p0izbm9zbo+bAxwDExpqY/GNj5uZPYQhJb69WNHX5/EoP1\n",
       "97dLDPXF3wa5G5Dt9XUOMKyhP1Rrs4GtogIqK82r+3J/XVbu5NiJ02SezOeHMwXkFedTUFrA6XMF\n",
       "nKnKp0QXUB6Rz7mmBThaFIByEFEeQ2RFNFc4YmilomnXJAZnWQeuqppCTNtourWL5uqYOK7t2Y4e\n",
       "PaBjR6kzFMIOv2pWa48mz52r+bWiAkrLHWSdOEHmqVyyC3PJLcnlRHkuhZW5/KhzKWtynIpmuThb\n",
       "5qGqWtL0bCxXVMXSWsXSvkksUc3juKH1MNq3bsnMfs9yVUwsPWLaEBUVXAMsCEEmIHOsIAgX42+D\n",
       "7NO6TtQvxuPQDpzagRP3axUa8/X5V1WFVg5wX00cqAgHRFSZryMc51+1qiTS0Y4Wjhhaq2jaNY2m\n",
       "Y6sYruwczfA2Q+naLpq4TtH0jo7hJ7HRxHZsTUTExW43KSmJpKSZfh4WQbAtPmm245zbcegql15d\n",
       "r1S59FqFUxn9ElEFEQ6U65ULXo1utaoCoFlVFK20MbydWnUltnMsQ9r2Ja7jaHp3jqVP11iu6dqF\n",
       "NpcpzE9KOsyT/97HPyMhCPbHnrVOghCG+LsGeTiQpLUe7/r6GcDpvYlAKSUCF4RqWFiDLJoVhHpg\n",
       "UQ2y6FUQ6oEdNuk1xWwgGAMcB3ZQbQOBIAj2QTQrCKGD6FUQgodfSyy01lVKqceBtZgWNG+JcAXB\n",
       "vohmBSF0EL0KQvAI+kEhgiAIgiAIgmBngrrXWyk1XimVrpT6Tin1q2DeuzaUUguVUvlKqQNWx1Id\n",
       "pVQPpdQGpdTXSqmDSqknrY7JjVKqhVJqu1Jqr1LqG6XUK1bHVB2lVBOl1B6l1CdWx1IdpVSmUmq/\n",
       "K74dVsfjjei1fthZryCabQh20auvz5hS6n9d+t2nlBoY7BiUUolKqSLXeO1RSj3nx/v79BwHeAxq\n",
       "jSGQY1DtPpfVTCDHwZcYgjEOvuizTuOgtQ7KhVkOOgL0BCKBvUDfYN3fh/hGAgOBA1bHUkNsXYAB\n",
       "rvetMTVodhq7lq7XpsA2IMHqmKrF90vgfWCl1bHUENtRoKPVcdQQl+i1/rHZWq+uuESz9YvLFnr1\n",
       "5RkD7gA+c70fBmyzIIbEQP4Oa3uOAz0GPsYQ0DHwus8lNROMcfAhhoCPQ236rOs4BDODfL7Buda6\n",
       "EnA3OLcFWuvNQKHVcdSE1jpPa73X9b4E0xS+q7VRedBal7neNsMYq9MWhnMBSqnuGFEsAOzaxdqO\n",
       "cYle64nd9Qqi2QZieUw+PmOTgcWu79kOtFdKxQQ5BgjgePnwHAd0DHyMAQL8zPigmYCPg4+6DYZ2\n",
       "LnePOo1DMA1yTQ3OuwXx/mGBUqonJnO23dpIPCilIpRSe4F8YIPW+hurY/LiL8BcwGl1IJdAA+uV\n",
       "UruUUg9bHYwXolc/YEe9gmi2AdhOr5d5xmrScPcgx6CBeNdy9mdKqev8fN/anuOAj4EPMQR0DFzU\n",
       "pplgPAu1xRCMcahNn3Uah2AaZNkN2ECUUq2BZcAc1yd2W6C1dmqtB2AetFuUUokWhwSAUmoSUKC1\n",
       "3oMNsj6X4Gat9UBgAvBzpdRIqwNyIXptIHbVK4hmG4Ct9OrDM1Z9DP2u61pi2A300FrfCLwOrPDn\n",
       "vX18jgM6Bj7EENAxqINmAjYOPsYQ0HFw4Ys+fR6HYBrkH4AeXl/3wLh3wQeUUpHAR8B7WutAPFgN\n",
       "RmtdBKwChlgdi4t4YLJS6iiwBBitlHrH4pguQGud63o9ASzHlDbYAdFrAwgFvYJotq7YSa8+PGPV\n",
       "Ndzd9WdBi0FrXewuQdBarwYilVId/RmD62df6jkO+BjUFkMQxsAXzQR6HGqNIRjPgg/6rNM4BNMg\n",
       "7wKuVkr1VEo1A6YDK4N4/5BFKaWAt4BvtNavWR2PN0qpKKVUe9f7K4DbgD3WRmXQWj+rte6hte4F\n",
       "zAC+1Fr/1Oq43CilWiql2rjetwJuB+zSlUH0Wk/srFcQzdYXO+nVx2dsJfBT1/cPB85orfODGYNS\n",
       "Ksb1fSilbsK0lvVLvbuPz3Ggx6DWGAI5BuCzZgI6Dr7EEOhx8FGfdRoHvx4Ucjm0zRucK6WWAKOA\n",
       "TkqpbOB5rfXbFofl5mZgFrBfKeUW3zNa6zUWxuQmFlislIrAfOB6V2v9hcUxXQq7lQ3EAMtd/2Y0\n",
       "Bd7XWn9ubUgG0WuDsLNeQTRbX+yk15qesWeBOACt9Zta68+UUncopY4ApcDsYMcA3As8ppSqAsow\n",
       "5slf1PgcK6Uedd8/CGNQawwEdgxqQgMEeRxqjYHAj0ON+mzIOMhBIYIgCIIgCILgRVAPChEEQRAE\n",
       "QRAEuyMGWRAEQRAEQRC8EIMsCIIgCIIgCF6IQRYEQRAEQRAEL8QgC4IgCIIgCIIXYpAFQRAEQRAE\n",
       "wQsxyIIgCIIgCILghRhkQRAEQRAEQfDi/wFieQz1zn16vgAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb9554a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# axis controls\n",
    "fig, axes = plt.subplots(1, 3, figsize=(12, 4))\n",
    "\n",
    "axes[0].plot(x, x**2, x, x**3)\n",
    "axes[0].set_title(\"default axes ranges\")\n",
    "\n",
    "axes[1].plot(x, x**2, x, x**3)\n",
    "axes[1].axis('tight')\n",
    "axes[1].set_title(\"tight axes\")\n",
    "\n",
    "axes[2].plot(x, x**2, x, x**3)\n",
    "axes[2].set_ylim([0, 60])\n",
    "axes[2].set_xlim([2, 5])\n",
    "axes[2].set_title(\"custom axes range\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAlMAAAEKCAYAAAA2KNBKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xd0FGUXwOHfJfRelV6kiyhFECkSKYoUERWxoIi9d0VA\n",
       "JahEwAbIhwUFRRGxBAQVqQYJvdfQexfpJZByvz9mAwEDqbuzu7nPOXuyO7szcxfIy5233BFVxRhj\n",
       "jDHGpE82twMwxhhjjAlklkwZY4wxxmSAJVPGGGOMMRlgyZQxxhhjTAZYMmWMMcYYkwGWTBljjDHG\n",
       "ZIAlU8bnRCRSRB720bkqikiCiNi/dWOCiIiUF5FjIiKX+EyCiFyRSef7VETeyIxjZTCOMBH5NgP7\n",
       "vyciz6fic5eLyBoRyZnec2Ul9h9MEBKRrSKyT0TyJtn2iIj85WZcSajnYYwJQJ42pqWbMajqdlUt\n",
       "oJ5iid6+SFPVJ1X1XW8dPw3S3XaKSAngfuCzFE+iug/4C3gsvefLSiyZCl7ZgBSvPlIiHpkQjzEm\n",
       "eLh6QSQi2ZPZnFUu0DLSHj8I/K6qp1P5+dHA4xk4X5ZhyVRwUuAD4BURKZTcB0SksYgsFJHDIrJA\n",
       "RK5P8l6kiLwrIrOB48AVnu7yJ0Vkg4gcFZG3RaSyiMz1HOMHEcnh2b+wiPwmIvtF5KCITBSRMqkJ\n",
       "XEQaisgiETkiIntF5MMk7zUVkTkickhEtotIN8/2diKy1LPPdhHpc4njFxKRr0Rkt4jsFJF3bAjQ\n",
       "mMwhIrlEZJCI7PI8Pk46TCQiryX53Xsk6TDcpX6PkwzXPyQi24BpIlLBsy1ERPoBzYChnqG/IUnC\n",
       "ai0i6z3txtAkx3xQRGaLyEee9zZ62sXunvPvE5EHknz+axF5J8nrjiKyzBPvRhG5+SJ/Jj083/eo\n",
       "iKwVkRae7SEi0suz71FPu1fG895gTwxHPNubXuLPvFGSdnGZiDS/xF9RG2Bmkn1XiUj7JK9ziMgB\n",
       "EbnGs2kBTvtf7hLHNACqao8gewBbgJbAL8A7nm2PAH95nhcFDgH34STUdwMHgSKe9yOBrUBNz/s5\n",
       "gARgHJAfuBI4DcwAKgIFgdXAA0mO3wnI7fn8j8C4JPH9BTx0kdjnAvd5nucFrvM8rwAcBboAIZ5z\n",
       "XON5rzlQy/O8NrAX6Oh5XdETezbP63HAp0AeoAQwH3jM7b8ze9gjkB6eNqZFMtvfBuYAxT2P2cDb\n",
       "nvfaAHs87Uoe4DvP7+YVnvdT83v8tWffXMn8bv+nXfG8P8HTRpUD9gM3e957EIgFuuH09rwD7AQ+\n",
       "8bR5rT1tTl7P50cm+S4NgcNAS8/r0kD1ZP48qgPbgZKe1+WTfN9XgRVA1STfuajn+X1AEZz29yXP\n",
       "n1tOz3thwLee52WAA0Abz+tWntfFL/L3th+on+T1q8APSV53BJZfsM9yoIPb/+b8/WFX5MFLgbeA\n",
       "Z0Wk+AXvtQPWqepoVU1Q1R+AtcCtSfb9WlWjPe/HerYPVNXjqroGWAlMUtWtqnoUmATUBVDVg6o6\n",
       "TlVjVPU4EI7TUKbGGaCqiBRX1ZOqOt+z/V5gqqqOVdV4zzmWe843U1VXe56vBH5I7nwicjlwC/Ci\n",
       "qp5S1X+AQTjJpDEm4+7FSTgOqOoBoC/OHB2Au4ARnnblFHBeD3Iqf4/DPL+7FxumSm4IrL+qHlXV\n",
       "HTgJV50k721R1W/UyRp+xEmK3lbVWFWditMeVUnmmA8DX6nqdE+8u1V1XTKfi8dJ/GqJSA515nlt\n",
       "TnKM3qq6IfE7q+pBz/PRqnrI0/5+5DlG9WSO3xX4Q1X/9Ow3DVgEtL3In09h4FiS16OBdiKS3/P6\n",
       "fuDCye3HgGRHOMw5lkwFMU/D9BvwOufPJyiNc7WU1DbP9kQ7kjnkviTPTyXzOj+AiOQVkc/FmaR6\n",
       "BKdbuZBIquZePQxUA6I9w4/tPNvLApuT20FErhORvzzDiodxxviLJfPRCjhXnHs8XeKHcCZilkhF\n",
       "XMaYlJXGaUsSbedcu1KK89uVnUl3TOXvcXLtUlLJzZvam+T5SSBfktcXtmF4LrKSbsvPf5UFNqUQ\n",
       "C6q6EXgBpzdpn4iMEZFSnrfLXewYIvKKOCvpDnvaqUI4PX0XqgB0TmzPPJ9tApS8SEiHgAJJ4tuN\n",
       "03t4p4gUxuk9HH3BPgVweuHMJVgyFfz6AI/idAcn2oXzS5hUBc/2RBmZzPkyTkLUUFUL4VxdCqmY\n",
       "OKmqG1X1XlUtAQwAfhZnVeIOoPJFdvseGA+UVdXCOAlScv+2d+AMTxZT1SKeRyFVrZ3G72eMSd5u\n",
       "nOG3ROU5167swUkgEl04Dyc1v8eXapd8OQF9B8n3WP2Hqo5R1WY4bazitGsXPYaINMMZfuusqoVV\n",
       "tQhwhOTbz+04Q35FkjwKqOrAi4Szgv/2cH2D08PVGZijqnuSxJLdE+Py1HzXrMySqSCnqpuAsZy/\n",
       "sm8SUE1E7hGR7CLSBaiB04uVKDW9SHKR5/lxruiOiEhRLujOv9TxRaSrOMt3wWlAFKer/HuglYh0\n",
       "9sRcLMkkyfzAIVU9IyINcYYa/tOwehqJKcBHIlJARLKJM4n+hlR8V2PM+XKKSO4kj+zAGOANESnu\n",
       "mV7wFs7cKHCG0bqLSA3PBdKbFxwvVb/Hl7CPi19wJUrVRV0q9v0K57u08LQjZUTkP8NwIlLN85lc\n",
       "OBdyMTjtGcCXwDsiUkUcV3vay/xAHHBARHKKyFs4c76S8x3QQURu8kxozy0ioXLxBT9/8N+h03FA\n",
       "PeA5YNQF7zUEtnqGSM0lWDKVNbyNM5lbAVT1X6A9Tg/SAeAVoH3ieL3HhY1Yco2aXvA88fUgnEmi\n",
       "B3Amo05K5fEAbgZWicgx4GPgblU9rarbceYBvAz8CywFrvbs8xTwtogcxWmgx17iXA8AOYE1OJPu\n",
       "f+LiXeLGmIv7A2fYLPHxFvAuzpydFZ7HIs82PPN6huDMW1qPs9gEnCQD0vZ7nNy2wTjDVQdFZNBF\n",
       "Yk7aTiVX3iGlnq/ENnQh0B2njTrs+U7lk9knF/Ae8A9Oz1xxoKfnvY9wEswpOBeOw3EW7UwG/sT5\n",
       "M9qKc2GadFpG0jh24kwa74UzuXw7Tht5sf/bRwFtRST32YOpxgAROD2KERd8/j6cBTsmBeLMu7vI\n",
       "myIjcCYr7086FCIiz+L8w4/HqVnRw7O9J/CQZ/tzqjrFi7EbY0ymEZEaOD24xYDJqvqVyyEFNRGp\n",
       "ibOQJaeqJrgdT1YhThmJ/ao6OMm2N3FWFSYtBXEZzsruOqp6xueBBpiUkqlmOHWGRiUmUyJyI04W\n",
       "3FZVY0WkhKr+IyJX4gzFNMCZnzMNqGa/JMaYQCJO3bEfVPUut2MJNiLSCadHKy/OXJ04Vb3d3aiy\n",
       "Ns/Q4mLgflWNcjueQHXJYT5VnYUz+z+pJ4H3EpfLJ1n50BEY41lSuhXYiDPeaowxrhCREeIUX1x5\n",
       "wfY24hRQ3CAiPZJs7wD8jrMs32S+x3DmNm3EqfH0pLvhZG0i8ijO0OAkS6QyJj1zpqoCN4jIPHEq\n",
       "ZV/r2V6a85e67uT8FWTGGONrI3GWe58lIiHAUM/2K4F7PENOqOpEVb0Fp5CjyWSqeotnhVoxVb1D\n",
       "nfu/GZeo6nBVza+qT7kdS6BL7v5GqdmniKo2EpEGOBPoLnZX7qxyryRjjB9S1VkiUvGCzQ2BjZ4e\n",
       "dETkB6CjZ47I7TiTgP3lpuDGmACQnmRqJ54Z/6q6UJx7IxXHqSWStG5IWc6vWwSAiFiCZUwWpKr+\n",
       "csPsMvy3eOR1qjqTJPctuxhrw4zJelJqv9IzzDceSLxRYzWclRgHcO5/dLenLkYlnOHABRcJKige\n",
       "ffr0cT0G+y7B+12C5Xuo+l3ukeGA3P7ztH9jwfk97Lv45yM1LtkzJSJjcAp8FRORHTh1REYAIzwT\n",
       "Os/g1O1BVdeIyI849XvigKc0tVEYY4zvXNiLXo4Lbm2SkrCwMEJDQwkNDc3MuIwxfiQyMpLIyMhU\n",
       "ffaSyZSq3nORt+5PbqOqhuPc1NYYY/zVIpybaVfEuf1JF+BibV2ywsLCMj0oY4x/Sbxg6tu3b4qf\n",
       "tQroGRBMV6X2XfxPsHwPN3l61+fg3D5ph4h0V9U44BmcStNrgLGqGu1mnG4Jln9jwfI9wL5LoLpk\n",
       "0U6vnFDERv+MyWJEBPWfCegZIiLap08fG+YzJsglDvP17ds3xfbLkiljjNcFWzJlbZgxWUdq2i8b\n",
       "5jPGGGOMyQBLpowxJo3CwsJSvcrHGBOYIiMjU73YxIb5jDFeZ8N8xphAZcN8xhhjjDFeZsmUMcYY\n",
       "Y0wGWDJljDFpZHOmjAl+NmfKGONXbM6UMSZQ2ZwpY4wxxhgvs2TKGONVEdERbodgjDFeZcmUMcar\n",
       "Rq8c7XYImc7mTBkT/GzOlDHGL5yMPUmpD0txtOdRmzNljAlINmfKGOOqyRsn06B0A7fDMMYYr7Jk\n",
       "yhjjNePWjuP2mre7HYYxxniVJVPGGK84E3+G39b/RsfqHd0OxRhjvMqSKWOMV0RujaR68eqUKVjG\n",
       "7VCMMcarLJkyxnhFRHQEt9cIziE+W81nTPDLtNV8IjICaAfsV9XaF7z3MvA+UFxVD3q29QQeAuKB\n",
       "51R1SjLHtJUwxgS5+IR4yn5cllndZ1GlaBWrgG6MCViZsZpvJNAmmQOXA1oD25JsuxLoAlzp2WeY\n",
       "iFjPlzFZ0Lyd8yiRtwRVilZxOxRjjPG6SyY7qjoLOJTMWx8Br12wrSMwRlVjVXUrsBFomBlBGmMC\n",
       "S0R0hK3iM8ZkGWnuORKRjsBOVV1xwVulgZ1JXu8EbOapMVmMqhKx1pIpY0zWkT0tHxaRvEAvnCG+\n",
       "s5svsYtNLDAmi1m+bzkhEkLty2qn/GFjjAkCaUqmgMpARWC5iACUBRaLyHXALqBcks+W9Wz7j6Sz\n",
       "40NDQwkNDU1jGMYYfxURHUH90/Xp27ev26EYY4xPpHhvPhGpCEy8cDWf570tQH1VPeiZgP49zjyp\n",
       "MsA0oMqFy15sJYwxwe2qYVcxvMNwri93/dltwbaar0+fPnYhaEyQi4yMJDIykr59+6bYfqVUGmEM\n",
       "0BwoBuwH3lLVkUne3wxcm6Q0Qi+c0ghxwPOqOjmZY1oyZUyQWv/vekK/DmXnSzvJlmQxb7AlU9aG\n",
       "GZN1pKb9SrFnKrNZQ2RM8BoQNYDtR7bzv3b/O2+7JVPGmECVGXWmjDEm1SLWRtCpZie3wzDGGJ+y\n",
       "ZMoYkyl2HNnBxoMbaV6huduhGGOMT1kyZYzJFOPXjqdDtQ7kCMnhdijGGONTlkwZYzLFuLXjrFCn\n",
       "MSZLsmTKGJNhB04eYPGexbS+onXKHzbGmCBjyZQxJsMmrJvATZVvIk+OPG6HYowxPmfJlDEmwyKi\n",
       "I7i9hg3xGWOyJkumjDEZcuz0Mf7e9jftqrVzOxSfCQsLIzIy0u0wjDFeFBkZed7t7y7FinYaYzJk\n",
       "7KqxfLP8G/6474+LfsaKdhpjApUV7TTGeF3E2ghbxWeMydIsmTLGpFtMXAyTN07m1uq3uh2KMca4\n",
       "xpIpY0y6Tds8jTol63BZvsvcDsUYY1xjyZQxJt0ioiPoVMPuxWeMydosmTLGpEtcQhwT1k2wGxsb\n",
       "Y4KSqjJl05RUfTa7l2MxxgSpWdtmUalIJcoXKu92KMYYk2kSNIFf1/5KeFQ4J86cSNU+lkwZY9LF\n",
       "CnUaY4JJXEIcY1aO4b2o98ibIy+9m/WmY42OhDwTkuK+lkwZY9IsQRMYt3Yc0x6Y5nYoxhiTITFx\n",
       "MXy97GsGzh5I+ULlGdxmMK2uaIVI6kvjWTJljEmzhbsWUjBXQWoUr+F2KMYYky7Hzxzn80Wf89G8\n",
       "j6hbsi7fdvqWJuWbpOtYlkwZY9Js3NpxQVeoU0Q6Au2AgsBXqjrV5ZCMMV5w8NRBPpn/CUMXDqVF\n",
       "pRb8fu/v1ClZJ0PHvORqPhEZISL7RGRlkm3vi0i0iCwXkQgRKZTkvZ4iskFE1orITRmKzBjjl1SV\n",
       "X6J/CbpkSlV/VdXHgCeALm7HY4zJXHuO7eG1qa9RZUgVth3ZxuyHZjP2zrEZTqQg5dIII4E2F2yb\n",
       "AtRS1WuA9UBPABG5EqcButKzzzARsdILxgSZ1f+sJjY+lrol67odSoqSuyD0bG/juejbICI9Ltjt\n",
       "DWCo76I0xnjT1sNbeer3p6g1rBYxcTEse2IZIzqOoFqxapl2jksmO6o6Czh0wbapqprgeTkfKOt5\n",
       "3hEYo6qxqroV2Ag0zLRIjTF+IbFQZ1omZ7roPxeEIhKCkyy1wbn4u0dEaopjADBJVZf5PlRjTGaK\n",
       "/ieabuO7Uf+L+hTKVYjop6MZcssQr5RzyeicqYeAMZ7npYF5Sd7bCZTJ4PGNMX5m3NpxDGkzxO0w\n",
       "UkVVZ4lIxQs2NwQ2ei76EJEfcC4GWwEtgYIiUkVVP/dhqMaYTLJ492LCo8KJ2h7Fcw2fY9Nzmyic\n",
       "u7BXz5nuZEpEegNnVPX7S3xMk9sYFhZ29nloaCihoaHpDcMY40ObD21m97HdNC7X+JKfi4yMJDIy\n",
       "0jdBpV0ZYEeS1zuB61T1WeCT1BzA2jBj/M/f2/4mfFY4q/av4pXGrzDqtlHky5kvzcdJT/slqsnm\n",
       "O+c+4FzVTVTV2km2PQg8CrRU1RjPttcBVLW/5/WfQB9VnX/B8TSlcxpj/NOHcz5k/b/r+bxD2jpt\n",
       "RARVdWVc8MI2TETuANqo6qOe1105l0yl5njWhhnjJ1SVPzf+SXhUOHuO7eH1pq9z/9X3kyt7rkw7\n",
       "R2rarzT3TIlIG+BVoHliIuUxAfheRD7CufKrCixI6/GNMf4rYm0Eb97wptthZNQuoFyS1+VweqeM\n",
       "MQEiPiGecWvHET4rnNiEWHo17UXnWp3Jns2dik+XPKuIjAGaA8VFZAfQB2f1Xk5gqmcC6lxVfUpV\n",
       "14jIj8AaIA54yi7fjAkee47tIfqfaFpUauF2KBm1CKjq6bHajbMK+Z60HCAsLMyG94xxQWx8LKNX\n",
       "jqZ/VH8K5y5M39C+tKvWjmxeKB6QluG+FIf5Mpt1kRsTmD5b9BlR26P47vbv0ryvW8N8SS4IiwH7\n",
       "gbdUdaSI3AIMAkJwCnS+l4ZjWhtmjI+dij3FiKUjGDhnIFWKVqF3s97cWPFGn6wq9sownzEma4qI\n",
       "juCJa59wO4w0UdVke5xUdRIwycfhGGPS6Ojpo3y68FMGzR9EwzINGXvnWBqVbeR2WP9hyZQxJkWH\n",
       "Th1i/q75jOsyzu1Q/IIN8xnjXQdOHmDI/CEMWziMmyrfxOSuk7n68qt9GoMN8xljMtW3y78lYm1E\n",
       "upMpN1fzZTZrw4zxnt3HdvPhnA8ZuWwkd155J681eY0qRau4GpMN8xljMkXE2ghurxFc9+IzxviP\n",
       "zYc2MyBqAD+t+Ylu13RjxZMrKFuwbMo7+glLpowxl3TizAlmbJnBiFtHuB2K37BhPmMyx6r9q+gf\n",
       "1Z8/N/7Jk9c+ybpn1lEiXwm3wwJsmM8Yk4l+WfMLny/+nCn3T0n3MWyYzxiT1MJdCwmPCmfujrm8\n",
       "0OgFnrz2SQrlLuR2WMmyYT5jTIaNWzuO22vaEJ8xJmNUlZnbZtJvVj/WHVjHq41fZfTto8mbI6/b\n",
       "oWWY9UwZYy7qTPwZSn5QktVPraZUgVLpPo71TBmTdakqv2/4nfBZ4Rw4eYDXm75O16u7kjMkp9uh\n",
       "pYr1TBljMmTGlhlcWeLKDCVSwcjmTBmTsviEeH5e8zPhUeEIQq9mvbij5h2EZAtxO7RUsTlTxphM\n",
       "8djEx6herDovN345Q8exniljso4z8Wf4dvm3DJg9gOJ5i9O7WW/aVm3rk2rl3mA9U8aYdItPiOfX\n",
       "db8y9+G5bodijAkAJ2NP8uWSL/lgzgfULFGT4R2Gc0OFGwI2iUoLS6aMMcmas2MOpQuU5ooiV7gd\n",
       "ijHGjx2JOcKwhcMYPH8wjcs15pe7fqFBmQZuh+VTlkwZY5IVEW2FOi/G5kwZA/+c+IfB8wfz2aLP\n",
       "uKXqLUx/YDq1LqvldliZxuZMGWMyRFWpOLgiv9/7O1dddlWGj2dzpowJHjuP7uSDOR8wavko7qp1\n",
       "F681eS2oe7BtzpQxJl2W7l1KrpBc1CoRPFeZxpiM2XhwIwOiBvBL9C88VPchVj21itIFSrsdll+w\n",
       "ZMoY8x8R0RHcXvP2LDFx1BhzaSv2reC9qPeYtnkaT137FBue3UCxvMXcDsuvWDJljPmPiOgIvr7t\n",
       "a7fDMMa4aN7OeYTPCmfh7oW81Oglvmj/BQVyFXA7LL9kyZQx5jxrD6zl6OmjXFv6WrdDMcb4mKoy\n",
       "Y8sM+s3qx+ZDm3mtyWuMvXMseXLkcTs0v2bJlDHmPOOix9GpRieySTa3Q/FbtprPBJsETWDiuomE\n",
       "R4Vz9PRRejbtyT1X3UOOkBxuh+aaTFvNJyIjgHbAflWt7dlWFBgLVAC2Anep6mHPez2Bh4B44DlV\n",
       "/c9t5m0ljDH+rcHwBgxsNZAbK92Yace01XzG+Ke4hDh+XP0j70W9R86QnPRq2otONe1iKqnUtF8p\n",
       "JVPNgOPAqCTJ1EDggKoOFJEeQBFVfV1ErgS+BxoAZYBpQDVVTbjgmNYQGeOnth/ZTv0v6rPn5T1k\n",
       "z5Z5HdeWTBnjX07Hneab5d8wYPYAyhQoQ+9mvbmp8k226CQZGS6NoKqzRKTiBZtvBZp7nn8DRAKv\n",
       "Ax2BMaoaC2wVkY1AQ2BemiM3xrhiXPQ4OlTrkKmJlDHGf5w4c4IvFn/Bh3M/5OrLr+brjl/TrEIz\n",
       "t8MKeOlpMS9X1X2e5/uAyz3PS3N+4rQTp4fKGBMgxq0dxyuNX3E7DGNMJjt06hBDFwzlkwWf0Lxi\n",
       "cybeM5G6peq6HVbQyNDlp6qqiFyqvzvZ98LCws4+t0mcxviH/Sf2s2zvMlpd0SrDx0rLxE1jjPfs\n",
       "O76Pj+d9zPAlw7m1+q383f1vahSv4XZYQSfF28l4hvkmJpkztRYIVdW9IlIK+EtVa4jI6wCq2t/z\n",
       "uT+BPqo6/4Lj2XwDY/zQl0u+ZNrmafxw5w+ZfmybM2WMb207vI3357zP9yu/597a9/Jq41epULiC\n",
       "22EFpNS0X+mZrj8B6OZ53g0Yn2T73SKSU0QqAVWBBek4vjHGBRHREXSq0cntMAJCWFiY9bwZv7Tu\n",
       "wDq6/9qdel/UI1+OfKx5eg1D2w61RCodIiMjzxtJu5SUVvONwZlsXhxnftRbwK/Aj0B5/lsaoRdO\n",
       "aYQ44HlVnZzMMe2qzhg/cyTmCOU+Lseul3Z5pcKx9UwZ411L9ywlPCqcmVtn8kzDZ3i24bMUyVPE\n",
       "7bCCQoZLI3iDNUTG+J8xK8fw/arvmXjPRK8c35IpY7wjansU4bPCWb5vOS9f/zKP1X+M/Dnzux1W\n",
       "UMlwaQRjTNYQsTaC22vc7nYYxphUUFWmbJpCv1n92HVsFz2a9GBcl3Hkyp7L7dCChips2waLFqXu\n",
       "85ZMGZPFnYo9xZRNU/i03aduh2KMuYQETWD82vGEzwonJi6Gnk170uWqLlYXLoNUYedOWLzYSZ4S\n",
       "HzlywLWpvEWp/Q0Yk8VN3TyV+qXqUzxvcbdDMcYkIzY+ljGrxtA/qj/5c+bnzRvepEP1DnbLl3Ta\n",
       "s+f8pGnRIiehuvZa5/HUU87P0qWdz6emKLwlU8ZkcRHREdxe04b4jPE3MXExjFw6koFzBlKpcCWG\n",
       "3DKElpVa2i1f0mD/fidZStrrFBNzLnF65BH47DMoWzZ1SdPF2AR0Y7Kw2PhYSn5YkuVPLKdswbJe\n",
       "O49NQDcm9Y6dPsZniz7j43kfU790fXo17cX15a53Oyy/9++//x2qO3YM6tc/lzxdey1UqJC2xMkm\n",
       "oBtjLmnmtplULVrVq4mUMSZ1Dp46yJD5Q/jfwv/RslJLJt03iWtKXuN2WH7p8OH/Jk4HD0K9ek7C\n",
       "1KULDBwIlStnrMcptSyZMiYLGxc9zgp1pkNYWJjdCstkmj3H9vDR3I8YsWwEnWp0YvZDs6lWrJrb\n",
       "YfmN+HhYswZmz3Ye8+bB3r1Qt66TON12G7z7LlStCtkycRpZWm6LZcN8xmRRCZpA2Y/KEvlgpNcb\n",
       "bhvmM+a/thzawsDZAxm7eiz3X30/rzR+hXKFyrkdlutOnID5889Pni67DJo0cR7XXw81akBIiG/i\n",
       "sWE+Y8xFzd85n2J5i9kVsDE+tuafNfSP6s8fG/7g8fqPs/aZtVyW7zK3w3LNzp3nEqfZs2HtWqhT\n",
       "x0mcnnwSRo1ykil/ZsmUMVlURLQV6jTGlxbvXkx4VDhR26N4/rrnGXLLEArnLux2WD4VFwcrV55L\n",
       "nObMgZMnz/U6DRniTBjPndvtSNPGhvmMyYJUlaqfVOXnu36mTsk6Xj+fDfOZrEpVmbV9Fv1m9WPN\n",
       "P2t45fpXeLT+o+TNkdft0Hzi6FFnmC4xeVqwwClD0KQJNG7s/Kxa1TeTxNPLhvmMMclauX8lCZrA\n",
       "NZfbSiFjvEFVmbRxEuGzwtl3Yh+vN3mdrld3DepbviTegiWxx2n2bNi40elpatIEXnjBme9UrJjb\n",
       "kWY+S6aMyYISC3Va8T9jMld8QjwR0RGER4UTnxBPz6Y96Vyrc1De8iUhAVasgJkzz/U8JSSc63V6\n",
       "4AFnxV3OnG5H6n3B97drjElRRHQEn7X/zO0wjAkasfGxfLfiO/rP7k+R3EV4O/Rt2ldrH3QXLFu2\n",
       "wPTpMG2a87NoUbjxRujQAfr3h0qV/HvIzlssmTImi9l4cCP/nPyHRmUbuR2KMQHvVOwpvlr6Fe/P\n",
       "eZ9qxarxWbvPCK0YGjRJ1IED8NdfTvI0bZpTtqBVK2jTBt5/H8pZJQfAkiljspyI6Ahuq36b3STV\n",
       "mAw4evoowxYOY9C8QTQq24gf7/yR68pe53ZYGXbyJERFnet92rgRmjVzEqhnn4VatbJmz1NKLJky\n",
       "Jgs5fuY4g+cP5te7f3U7FGMC0oGTBxg8bzCfLvqUNlXaMO2BaVx12VVuh5Vu8fHObVkSe54WLnRq\n",
       "PLVq5ZQpaNgQcuRwO0r/Z8mUMVnIh3M+JLRiKNeWvtbtUIwJKLuO7uLDuR/y9bKv6XxlZ+Y/Mp/K\n",
       "RSu7HVaaqcKGDeeSp7/+ckoVtGoFL78MN9wABQq4HWXgsWTKmCxi97HdfLLgExY/ttjtUPySiFQC\n",
       "egOFVLUH1bTnAAAgAElEQVSz2/EY/7Dx4EYGzh7Iz2t+pnud7qx8ciVlCpZxO6w02bv33LDdtGnO\n",
       "ttat4Y47YNgwKFnS3fiCQbqLdopIT6ArkACsBLoD+YCxQAVgK3CXqh6+YD8reGeMCx6Z8AjF8xan\n",
       "f6v+Pj93IBXtFJGfLpVMWRuWNazct5L+s/szeeNknmrwFM9d9xzF8xZ3O6xUOXYM/v77XPK0c6ez\n",
       "4q5VK+fh70Uy/Y3XinaKSEXgUaCmqp4WkbHA3UAtYKqqDhSRHsDrnocxxkUr9q3gt/W/se6ZdW6H\n",
       "4lMiMgJoB+xX1dpJtrcBBgEhwJeqOsClEI2fmb9zPuFR4czfOZ8XG73Ip+0+pWCugm6HlaItW+DX\n",
       "X2H8eGcOVMOG0LIlfPWVUzTTVzcFzqrSO8x3FIgF8opIPJAX2A30BJp7PvMNEIklU8a47tWpr/Lm\n",
       "DW9SKHcht0PxtZHAJ8CoxA0iEgIMBVoBu4CFIjJBVaPdCdG4TVX5a+tfhM8KZ8PBDbzW+DV+uOMH\n",
       "8uTI43ZoF6XqFMwcPx7GjYPdu+HWW+GVV6BFC8ibNe5W4zfSlUyp6kER+RDYDpwCJqvqVBG5XFX3\n",
       "eT62D7g8k+I0xqTTnxv/ZNvhbTxW/zG3Q/E5VZ3l6UlPqiGwUVW3AojID0BHEdkHhAN1RKSH9VYF\n",
       "vwRN4Lf1vxE+K5xDMYfo2bQn99a+l5wh/lmyOz7eqTI+bpyTRIlAp07wySdOxXHrfXJPeof5KgMv\n",
       "ABWBI8BPItI16WdUVUUk2YkFYWFhZ5+HhoYSGhqanjCMMSmIS4jjlSmvMLD1QHKE+G59c2RkJJGR\n",
       "kT47XxqVAXYkeb0TuE5VDwJPpOYA1oYFtriEOH5a/RPvRb1HSLYQejXtxe01byckm/9lI6dOwdSp\n",
       "TvI0caJTJPO225whvdq1be6TN6Sn/UrXBHQR6QK0VtVHPK/vBxoBLYAbVXWviJQC/lLVGhfsa5M3\n",
       "jfGR4YuHM3rlaP7q9perFZndnIDu6ZmamDhnSkTuANqo6qOe111xkqlnU3k8a8MC1Om403y74lv6\n",
       "R/WnZP6S9G7WmzZV2vhdtfKDB+H3350Eato0qFfPSaBuuw0qVHA7uqzHaxPQgbXAmyKSB4jBmXuw\n",
       "ADgBdAMGeH6OT+fxjTEZdPzMcfpE9mHiPRP97j8Ll+0Ckt4EoxxO75QJUifOnGD4kuF8MOcDal1W\n",
       "ixEdR3BDhRvcDus8O3acm0C+YIEz76lTJ/j8cygeGIsIs7T0zplaLiKjgEU4pRGWAF8ABYAfReRh\n",
       "PKURMilOY0waDZw9kJZXtKR+6fpuh+JvFgFVPT1Wu4EuwD1pOUBYWJgN7wWAwzGH+d+C/zFkwRCa\n",
       "lm/Kr3f/6je/D6qwZo2TPI0fD5s3Q/v28MwzTg2ofPncjtCkZbgv3XWm0su6yI3xvl1Hd3H1Z1ez\n",
       "9PGllC9U3u1wXBvmE5ExOCuMiwH7gbdUdaSI3MK50ghfqep7aTimtWF+bv+J/QyaN4jPF39O+2rt\n",
       "6dGkB1eWuNLtsEhIgHnzzq3AO3Pm3PBds2aQ3cpo+6XUtF+WTBkThLr/2p1S+UsR3jLc7VCAwCra\n",
       "mRJrw/zX9iPb+WDOB3y34jvuvupuXmvyGhULV3Q1ptOnYcYMJ3maMAEuu+xcAlW3rk0gDwTenDNl\n",
       "jPFTy/YuY9KGSax/dr3boQQtG+bzL+v/Xc+AqAGMWzuOh+s+zOqnVlOqQCnX4lF1CmeOGAFjx8KV\n",
       "VzrJU1QUVKniWlgmjWyYz5gsSlVp/W1r7qh5B082eNLtcM6yninjDcv3Lic8KpwZW2bwTINnePa6\n",
       "Zymap6hr8Rw4AKNHO0nUsWPQvTt06wbl3R9pNxlgPVPGZDGTNk5i17FdPFr/UbdDMcZr5u6YS79Z\n",
       "/ViyZwkvXf8SX3b4kgK5CrgSS3y8Uwfqq6+cn+3bw6BB0Lw5ZMvmSkjGBZZMGRMkEgt0vt/6fbJn\n",
       "s19tb7JhPt9TVaZtnkZ4VDhbD2+lR5Me/HzXz+TOntuVeDZtgpEj4euvoXRpeOghGD4cChd2JRzj\n",
       "BTbMZ0wW9Pmizxm7eizTH5jud3WlbJjPpFeCJjBh3QTCZ4Vz/Mxxejbtyd1X3e3Tiv6JTp6EX35x\n",
       "hvFWr4b77nOSqNq1U97XBC5bzWdMFnH09FGqD63OH/f+Qd1Sdd0O5z8smTJpFZcQxw+rfuC9qPfI\n",
       "kz0PvZv1pmONjmQT346dqcLChc4w3k8/wfXXOwlUhw6Q0z9v4Wcymc2ZMiaLGDh7IDdVvskvEylj\n",
       "0iImLoZvln3DgNkDKFeoHB/f/DGtr2jt897W/fvhu++cXqiYGCeBWrkSypTxaRgmQFgyZUyA23Fk\n",
       "B58u+pTlTyx3O5Qsw+ZMZb7jZ47zxeIv+HDuh9QpWYdRnUbRtHxTn8YQFweTJzsJ1PTpTjmDYcOc\n",
       "gpp+NnJufMDmTBmThXQb341yBcvxbot33Q7lomyYz1zMoVOH+GTBJwxdMJTQiqH0bNrT5z2sGzY4\n",
       "CdSoUU4Zg4cegi5doGBBn4Zh/JQN8xkT5JbsWcKUTVNY/4wV6DSBZe/xvXw892O+XPolHat3ZFb3\n",
       "WVQvXt1n5z9+HH7+2Umi1q2D++93Shtc6f5dZ0wAsmTKmAClqrw85WXCmoe5VmPHmLTadngbA2cP\n",
       "ZMyqMdxX+z6WPLaECoUr+Oz88+fDl186iVSzZvDSS9CuHeTw/eJAE0QsmTImQP22/jf2n9jPw/Ue\n",
       "djuULMfmTKXd2gNr6R/Vn4nrJ/JYvceIfjqay/Nf7pNzq0JkJLz9NmzbBo8/7pQ2KF3aJ6c3Acrm\n",
       "TBkT5GLjY6n9aW0+uvkj2lZt63Y4KbI5U1nXkj1LCJ8Vzt/b/ua5657j6QZPUyRPEZ+cW9W5yXDf\n",
       "vrBnD7zxhlMbKrt1I5g0sDlTxgSp4UuGU65QOW6pcovboRiTrFnbZhEeFc7KfSt5pfErfHPbN+TL\n",
       "mc8n51Z15j+9/bZzv7w33oC777YkyniP/dMyJsAciTnC2zPfZnLXyX5X6dxkbarK5E2T6TerH7uP\n",
       "7eb1Jq8zvst4cmXP5aPzw59/OknU4cPw5pvOqryQEJ+c3mRhlkwZE2D6R/WnbdW2XFPyGrdDMQZw\n",
       "bvkSER1B+KxwYhNi6dW0F51rdfbZPSJV4Y8/nCTqxAknibrzTkuijO9YMmVMANl+ZDtfLPmCFU+s\n",
       "cDuULM0moDti42P5fuX39J/dn4K5ChIWGkb7au19dssXVZg40UmizpyBt96C22+HbL6944wJUjYB\n",
       "3Zgg1TWiK5WLVKbvjX3dDiVNbAJ6cDkVe4oRS0fw/pz3qVy0Mr2a9qJFpRY+G3ZOSIBff3WSKHCS\n",
       "qI4dLYky3uHVCegiUhj4EqgFKNAd2ACMBSoAW4G7VPVwes9hjDln0e5FzNgyg8/af+Z2KCaLOnr6\n",
       "KJ8t+oyP531Mg9IN+OHOH2hUtpHPzp+QABER8M47zmTyvn2dGw7b1EHjtowM8w0G/lDVO0UkO5AP\n",
       "6A1MVdWBItIDeN3zMMZkQGKBzrdvfJv8OfO7HY7JYv49+S+D5w9m2MJh3FT5JiZ3nczVl1/ts/PH\n",
       "xztFNt95B/LkgX79nEKblkQZf5GuZEpECgHNVLUbgKrGAUdE5Faguedj3wCRWDJlTIZNWDeBg6cO\n",
       "0r1Od7dDMVnI7mO7+XDOh4xcNpI7at7B3IfnUrVYVZ+dPz4efvzRSaIKFoT334c2bSyJMv4nvT1T\n",
       "lYB/RGQkcA2wGHgBuFxV93k+sw/wTXlbY4JYbHwsr017jSFthhCSzZYnGe/bfGgzA6IG8NOan+h2\n",
       "TTdWPLmCsgXL+uz8cXHwww/w7rtQrBgMGgStW1sSZfxXepOp7EA94BlVXSgig7igB0pVVUSSnaUZ\n",
       "FhZ29rmtiDHm0j5f/DkVC1fk5io3ux1KqqVlFYzxH6v3r+a9qPf4c+OfPHHtE6x7Zh0l8pXw2fnj\n",
       "4mD0aGcYr2RJ+N//oEULS6KM/0vXaj4RKQnMVdVKntdNgZ7AFcCNqrpXREoBf6lqjQv2zfIrYYxJ\n",
       "rcMxh6k+tDpT75/q0zkqmS3YVvP16dMnqC4EF+5aSHhUOHN3zOX5657nqQZPUSh3IZ+dPzYWvvvO\n",
       "SaLKloU+fSA01JIo467Ei8K+ffum2H6luzSCiPwNPKKq60UkDMjreetfVR0gIq8DhVX19Qv2s2TK\n",
       "mFTqMbUH/576ly9v/dLtUDIk2JKpYGjDVJWZ22YSPiuctQfW8mrjV3m43sPkzZE35Z0zSXw8fP21\n",
       "k0RVquSUOGjePMXdjPEpb9+b71lgtIjkBDbhlEYIAX4UkYfxlEbIwPGNydK2Ht7Kl0u/ZOWTK90O\n",
       "xQQRVeX3Db8TPiucAycP8HrT1+l6dVdyhuT0aRxbtsADDzi9T6NGQdOmPj29MZnKinYa46fu/eVe\n",
       "qherTp/QPm6HkmHWM+W++IR4fl7zM+FR4QhCr2a9uKPmHT5f1KAK33wDr74KPXvCCy9YsU3j37zd\n",
       "M2WM8ZIFuxYwc9tMhncY7nYoJsCdiT/Ddyu+o39Uf4rnLU54i3DaVm3ryk2y//kHHn8cNm2CGTOg\n",
       "dm2fh2CMV1gyZYyfSSzQ+c6N75AvZz63wzEB6mTsSb5c8iUfzPmAGsVr8EWHL2heobkrSRQ4NyJ+\n",
       "9FG47z4YMwZy5XIlDGO8wpIpY/zMuLXjOHr6KN2u6eZ2KCYAHYk5wrCFwxg8fzCNyzXml7t+oUGZ\n",
       "Bq7Fc+IEvPIKTJoE339vE8xNcLJkyhg/cib+DD2m9WBY22FWoNOkyT8n/mHw/MF8tugzbql6C9Mf\n",
       "mE6ty2q5GtOCBdC1KzRqBMuXQyHfVVswxqcsmTLGj3y68FOqFK1C68qt3Q7FBIidR3fywZwPGLV8\n",
       "FHfVuosFjy7giiJXuBpTXJxT7mDYMBg6FDp3djUcY7zOkilj/MShU4foN6sfM7rNcDsUEwA2HtzI\n",
       "gKgB/BL9Cw/VfYhVT62idIHSbofFhg1Ob1ThwrB0KZR2PyRjvM4WpBrjJ/rN6sdtNW7jqsuucjsU\n",
       "k4KwsDDXbpezct9K7v3lXq7/6npKFyjNhmc38MFNH7ieSKnC559D48Zw//3w55+WSJnAFhkZed7t\n",
       "7y7F6kwZ4wc2H9pMg+ENWP3UakrmL+l2OJnO6kxl3Lyd8wifFc7C3Qt5sdGLPHHtExTMVdDncSRn\n",
       "71545BHn53ffQY0aKe9jTKBITftlPVPG+IGe03vywnUvBGUiZdJPVZm+eTotR7Xk7p/vpk2VNmx+\n",
       "bjOvNXnNbxKp8eOhTh3nMWeOJVIma7I5U8a4bO6OuczePpuRHUe6HYrxEwmawG/rfyN8VjiHYw7T\n",
       "s2lP7q19LzlCcrgd2lnHjsHzz8Pff0NEhDO8Z0xWZcmUMS46evooT/3xFO+2eNenN5g1/ikuIY6f\n",
       "Vv9EeFQ4ObLloHez3txW4za/K5MRFeXcV69lS1i2DPLndzsiY9xlyZQxLjl+5jhtR7fl+rLXW4HO\n",
       "LO503GlGLR/FgNkDKF2gNO+3fp+bK9/sWrXyizlzBsLCYORIZ7L5rbe6HZEx/sGSKWNccDL2JB3G\n",
       "dKB6seoMbTvU7/7TNL5x4swJhi8ZzgdzPqD25bUZ2XEkzSo0czusZK1Z45Q8KFPG6Y26/HK3IzLG\n",
       "f1gyZYyPxcTF0GlsJ8oWLMsXHb4gm9g6kKzmcMxhhi4YypD5Q7ihwg1MuGcC9UrVczusZCUkOIU3\n",
       "33kHwsOdVXuW+xtzPkumjPGhM/Fn6PxTZwrlKsTIjiP9bi6M8a59x/cxaN4gvljyBR2qdWDmgzOp\n",
       "WaKm22Fd1K5d0L27M9l87lyoUsXtiIzxT3ZJbIyPxCXEcc8v9xAiIYy+fTTZs9m1TFax/ch2nv3j\n",
       "WWr+ryZHTx9l8WOL+fq2r/06kRo7FurVg2bNYNYsS6SMuRRrzY3xgfiEeB4Y9wCnYk8xrss4v1ri\n",
       "brxn3YF1DJg9gF/X/cojdR9hzdNr/L6W2OHD8PTTsHgx/PYbNGjgdkTG+D9LpozxsgRN4JGJj7D/\n",
       "xH4m3jORXNlzuR2S8bJle5cRPiucyK2RPNPwGTY+u5EieYq4HVaKli2Djh2hQwdYsgTyWrUOY1LF\n",
       "bidjjBepKk/89gTRB6KZdN8k8uXM53ZIrgiE28mISD5gGHAaiFTV7y/yuYu2YbO3zyY8Kpxle5fx\n",
       "8vUv81j9x8ifMzCKMO3eDdddBwMGwL33uh2NMf4jNe1XhpIpEQkBFgE7VbWDiBQFxgIVgK3AXap6\n",
       "+IJ9LJkyWYKq8sKfL7Bg9wKmdJ1CgVwF3A7JNQGSTN0PHFTV30XkB1W9+yKfO68NU1Wmbp5Kv1n9\n",
       "2HFkBz2a9KBbnW7kzp7bV6Fn2MmT0Ly50yv1xhtuR2OMf/HFvfmeB9YAiS3L68BUVa0GTPe8NibL\n",
       "UVV6TOvB7B2zmXTfpCydSLlJREaIyD4RWXnB9jYislZENohID8/mMsAOz/P4lI6doAlEREfQYHgD\n",
       "Xpz8Io/Ve4z1z67n8WsfD6hEKiEBHnwQqleH3r3djsaYwJTuOVMiUhZoC/QDXvJsvhVo7nn+DRCJ\n",
       "JVQmC+oT2YfJmyYz44EZFM5d2O1wsrKRwCfAqMQNnh71oUArYBewUEQmADuBcsAKUrjQ/Hb5t7wX\n",
       "9R75cubjjRve4NbqtwZsvbCwMNixA/76y+pHGZNeGZmA/jHwKpD01uWXq+o+z/N9gNXINVlOv7/7\n",
       "8Uv0L/zV7S+K5S3mdjhZmqrOEpGKF2xuCGxU1a0AIvID0BEYAgwVkXbAhEsdd8SyEQxuM5hWV7QK\n",
       "6Or1338Po0bB/PmQO3A604zxO+lKpkSkPbBfVZeKSGhyn1FVFZFkJ0eFhYWdfR4aGkpoaLKHMCbg\n",
       "fDjnQ75Z/g0zH5zJZfkuczsc10RGRhIZGel2GBeTdDgPnB6p61T1JPBQag7QfEtzZm+ZzWxmB2wb\n",
       "Nm8ePP88TJ9ut4YxJqn0tF/pmoAuIuHA/UAckBundyoCaACEqupeESkF/KWqNS7Y1yagm6A0dMFQ\n",
       "Ppr7EX93/5uyBcu6HY5fcXMCuqdnaqKq1va8vgNoo6qPel53xUmmnk3l8QK+Ddu+HRo1cm5W3KGD\n",
       "29EY49+8NgFdVXupajlVrQTcDcxQ1ftxusa7eT7WDRifnuMbE2iGLx7O+3PeZ0a3GZZI+b9dOHOj\n",
       "EpXD6Z3KEo4dcxKol1+2RMqYzJJZMyYTL9P6A61FZD3QwvPamKA2avko+s7sy/QHplOxcEW3wzEp\n",
       "WwRUFZGKIpIT6EIKc6QuFBYW5s/DmBcVHw9du8K118JLL6X8eWOyssjIyPOmJV2KFe00JgPGrhrL\n",
       "i5NfZEa3GdQoXiPlHbIot4b5RGQMzgrjYsB+4C1VHSkitwCDgBDgK1V9Lw3HDNg27LXXYMECmDIF\n",
       "cuZ0OxpjAkNq2i+7nYwx6TQuehzP//k80x6YZomUn1LVey6yfRIwKb3HDQsLC7iJ5yNHQkSEs3LP\n",
       "EiljUpaWiejWM2VMOvy+/ncemvAQk+6bRL1S9dwOx+8FQgX01ArENuzvv+HOO52fNSzvNyZNrGfK\n",
       "GC+Yumkq3X/tzm/3/maJlPF7mzbBXXfBd99ZImWMtwRmyV5jXDJz60zui7iPcV3G0bBMQ7fDMeaS\n",
       "jhxxVuy9+SbcdJPb0RgTvCyZMiaV5uyYQ+efOjP2zrE0Kd/E7XCMiwJhNV9cnNMj1aIFPP2029EY\n",
       "E3hsNZ8xmWzhroW0+74d33b6lpur3Ox2OAHH5kz53nPPwbp18PvvkN0mdBiTbjZnyphMsGzvMtqP\n",
       "ac+IjiMskTIB4dNPYepUmDvXEiljfMF+zYy5hFX7V3HL6FsY1nYY7au1dzsc4yf8uTTC1KnQty9E\n",
       "RUHhwm5HY0zgstIIxmSCdQfW0WJUCz5o/QH31E62XJFJJRvm8421a+GGG+Cnn6B5c7ejMSY4eO3e\n",
       "fMYEu00HN9Hq21aEtwi3RMoEhH//dVbuvfeeJVLG+Jr1TBlzgW2Ht9H86+b0ataLx+o/5nY4QcF6\n",
       "przrzBm4+WaoXx8++MDtaIwJLtYzZUwaTdk0hdBvQnn5+pctkTIBQdUpfZA/PwwY4HY0xmRNNgHd\n",
       "GGDr4a28NPkllu9bzie3fGKTzc0l+dME9EGDnJsXR0VBSIjb0RgTPGwCujGpdCr2FANnD+STBZ/w\n",
       "YqMXebnxy+TOntvtsIKODfN5x++/w6OPOiUQKlRwOxpjgpPVmTLmIlSV8WvH89KUl2hQugFLHl9C\n",
       "+ULl3Q7LmFRbuRIefBAmTLBEyhi3WTJlspy1B9by/J/Ps/PoTr669StaVGrhdkhBKSHB+Q9/xgy3\n",
       "Iwk++/fDrbc6Q3zXX+92NMYYS6ZMlnHs9DHenvk2Xy//mt7NevN0g6fJEZLD7bCChips3AjTpzsJ\n",
       "1F9/QZEizr3hTOaJiYFOnaBrV7jvPrejMcaAJVMmC1BVRq8cTY9pPbip8k2senIVl+e/3O2wgsKu\n",
       "XeeSpxkzID4eWraEdu2cJfrlPSOnn3/ubpyZza0J6KrOHKnSpZ0q58YY7/H6BHQRKQeMAi4DFPhC\n",
       "VYeISFFgLFAB2ArcpaqHL9jXbyZvmuC3bO8ynvnjGWLiYhjadiiNyjZyO6SA9u+/To/TjBlOEnXg\n",
       "ANx4o5NAtWgB1aqBJDNN0yagZ47wcIiIgL//hrx5XQnBmCwnNe1XepOpkkBJVV0mIvmBxcBtQHfg\n",
       "gKoOFJEeQBFVff2CfS2ZMl538NRB3pjxBr9E/8I7N77Dw3UfJiSbrRtPq+PHnf+4E5OnTZugadNz\n",
       "ydM110C2VFSrs2Qq4yIi4PnnYd48KFPG56c3Jsvy2mo+Vd0L7PU8Py4i0UAZ4FYg8UYG3wCRwOvJ\n",
       "HcMYb4hPiOfLJV/yVuRbdL6yM9FPR1M0T1G3wwoYp087y+wTk6fly+Haa53kaehQaNgQctg0M59b\n",
       "sgQefxz+/NMSKWP8UYbrTIlIRWAmcBWwXVWLeLYLcDDxdZLPW8+U8Yo5O+bw7KRnyZsjL0NvGco1\n",
       "Ja9xOyS/Fxfn/EedmDzNmwdXXun0OrVoAU2aZM5wkvVMpd/u3XDddc7KvTvu8NlpjTEeXq8z5Rni\n",
       "+wV4XlWPSZLJEqqqImJZk/G6vcf30mNaD6Zvns7A1gO556p7kOQm7hji42H1aoiMdJKnmTOhbFmn\n",
       "5+mZZ+Cnn6BwYbejNIlOnoSOHeGJJyyRMsafpTuZEpEcOInUt6o63rN5n4iUVNW9IlIK2J/cvmFh\n",
       "YWef+8stGUzgiY2P5ZMFn/Be1Hs8VOchop+OpkCuAm6H5VeOHYP582HOHJg923l++eXQrBncfTd8\n",
       "8YXzOrOlZRWMubj//c9Jdnv1cjsSY8ylpHcCuuDMifpXVV9Msn2gZ9sAEXkdKGwT0I03TN88nWcn\n",
       "PUv5QuUZ3GYw1YtXdzskv7B9u5M0zZ7tJFDr1kHdus5wXePGzqNECd/HFWzDfH369PHJheBbb0H2\n",
       "7M5PY4xvJV4U9u3b12ur+ZoCfwMrcEojAPQEFgA/AuWx0gjGC7Yd3sbLU15myZ4lfHzzx9xa/dYs\n",
       "O6QXF+dMEE+aPJ0+7SROiY969SBXLrcjDb5kyldt2JtvOhP+LZkyxj3eXM0XBVxsQXSr9BzTmEuJ\n",
       "iYvh/dnvM2j+IJ6/7nm+7fQteXLkcTssnzp82Flplzhkt3Chc0+2Jk2gbVvo1w8qV06+zpMJXPb3\n",
       "aYz/swroxq+pKhPWTeDFyS9St1RdFj+2mIqFK7odltepwubN5/c6bd3qlClo0gRefRUaNXJu12KM\n",
       "McZdlkwZv6OqLNmzhLGrx/Lj6h8pmKsgn7f/nNaVW7sdmtecPu2UKEjsdZozx5krkzjX6dFHnQKZ\n",
       "VuMpa7EZEcYEBkumjF9QVVbuX8nYVWMZu3osAF1qdWHCPROofVntoJoXFRcHa9c6ydPixc5j2TKo\n",
       "WtVJnjp3ho8/du5rF0Rf26ST/Rswxv9ZMmVcteafNYxdNZYf1/zIqdhT3FXrLsbeOZZ6peoFRQIV\n",
       "FwfR0eeSpsWLYcUK50a19es7j44doUEDKGBVHcwFrGfKmMBgyZTxuQ3/bmDsaqcH6tCpQ3S+sjMj\n",
       "O47kujLXBXQCFRsLa9acnzitXAnlyjmr6urXdwov1q0LhQq5Ha0JFAH8K2FMlmHJlPGJLYe2nJ0D\n",
       "tef4Hu6seSeftvuUxuUak01ScadcP3PmjFNJPGnitHq1MzSX2OPUpQvUqQMFC7odrQlU1jNlTGCw\n",
       "ZMp4zY4jO/hx9Y+MXT2WLYe3cEfNO/jwpg+5ocINhGQLcTu8VDt9GlatchKmxHlOq1dDpUrnEqf7\n",
       "7nMSp/z53Y7WBBvrmTLG/1kyZTLV7mO7+XnNz4xdPZa1B9ZyW/XbeLfFu7So1ILs2fz/n9uJE85Q\n",
       "XdLJ4dHRTv2m+vWd4br773cSp3z53I7WuCUsLMwnFdCtZ8oY96TltljpqoCeEVYBPfjsP7H/bAK1\n",
       "Yt8KOlTrQJdaXWhduTU5Q3K6HV6yTp1ykqTVq89/7NkD1aqdm+NUv75TkiBvXrcjDmxWAT19evZ0\n",
       "FibYvfmMcY/XKqAb8+/Jf4mIjmDs6rEs2r2ItlXb8lKjl7i5ys3kzp7b7fDOiolxyhBcmDTt2gVV\n",
       "qkCtWs6je3fnZ+XKTn0nY/yFDfMZ4//svw2TKgdPHWTpnqUs3buU6VumM2fHHG6qfBNPXPsEbau2\n",
       "JW8Od7tuTp92bup7YdK0YwdcccW5pOn++52fVapYAUzj/6wT35jAYMmU+Y+9x/eydM9SluxZwpK9\n",
       "S1iyZwkHTh6gTsk61CtZjweveZCfOv9E/py+n2195gysX//fpGnrVmdCeGLSdM89zs+qVSGnf440\n",
       "GpMq1jNljP+zZCoLU1V2HN3hJE1JHjFxMdQrVY96perR+crOhLcIp2qxqj4rYaAK//4LmzY5jw0b\n",
       "ziVNmzc75QcSk6bOnSEszJnnlCuXT8IzxmesZ8qYwGDJVBaRoAlsOrjpXNLk6XHKkS0H9UvXp27J\n",
       "uv+VPMsAAAi8SURBVDxU9yGGth1KhUIVvF48MyEBdu48lzAlPjZudH5my+bMX6pc2RmSu+026N0b\n",
       "qleH3P4zJcsYr7OeKWP8nyVTQSguIY61B9aeTZyW7l3K0j1LKZKniNPjVLIeL1z3AvVK1aNUgVJe\n",
       "i+P0aWf4LTFBSvrYsgWKFTuXMFWuDJ06OYlT5cpQtKjXwjImYFjPlDGBwZKpAHcy9iTR/0SzdO/S\n",
       "s8nTyv0rKVOgzNmhuvbV2lO3ZF2K5S2W6ec/ejT5nqVNm2DvXudWKokJUuXK0KKF8/OKK6zcgDGp\n",
       "YT1Txvg/S6b82KnYU+w8upMdR3c4P4/sOPs6cduJMyeoUrQK9UvXp17Jetx91d3UKVmHgrkyfg+T\n",
       "hATYv98Zjtu169zP7dvPJU0nT57fu1S/Ptx1l/O8fHkrM2CMMSb42X91LomJi2Hn0Z1nk6SzCVOS\n",
       "xOnYmWOUKVCGcoXKUbZgWcoVLMdVl11Fmyptzm4rkbdEuuY3xcTA7t3nEqSkyVLi8717oUgRKFPG\n",
       "eZQt6/xs3RqefNJJmC6/3K6cjfEWG+YzJjBYMuUFp+NOs+vYrvOTpCM72HnsXOJ09PRRShcofTZJ\n",
       "KlewHDWL1+Smyjed3VYiX4k0r6BThSNH/tubdOHzo0ehVKnzk6Ty5eH6689tK1XKVsgZ4za7WDHG\n",
       "/2V6MiUibYBBQAjwpaoOyOxz+MKZ+DMcOnWIwzGHORxzmEMxzvPEbWdfxyT5zKlDHIo5xLHTxyhV\n",
       "oBTlCp7rUapevDotr2jpJE6FynFZvstSnSjFxcHBg065gAMH/vtz797zk6WQkHMJUmJiVKcOtG9/\n",
       "bluJEs6KOWPMOSJSCegNFFLVzm7HYz1TxgSGTE2mRCQEGAq0AnYBC0VkgqpGZ+Z5UhIbH8upuFOc\n",
       "ij3FydiTHDl95L9J0KlkkqEk78UmxFIkdxEK5y5M4dyFKZLH8zyX87xonqLEbY6jZZOW57+fuzDF\n",
       "8hQjJFtI8rHFOolR9LZzyVByCVLSn0ePQuHCULy4swKuePFzz0uUcOotlS17LoEqUCDtf2aRkZFe\n",
       "v2mrrwTLdwmW7xFIVHUL8IiI/OR2LIm82TMVLP/GguV7gH2XQJXZPVMN4f/t3V2IVGUcx/Hvz32x\n",
       "GVeUFLJ0sS6sGxXNwEiKCix7wboITJCgC696gyikrvaqAi8Kuk0DFSwoiiysKL1QAsNQexGjTEGz\n",
       "7EURZu3Ccf9dnDO7sy+27cw4Z+bM7wOHfZ4zszv/wwz//c9znuccfo6IkwCS3gEeAUYVU8fPHeef\n",
       "clLoVAqe6uKn+rFRzytPsG+C340Iij1FCj0Fij1FZk2fNarYqRRJi+YsGm6PfbzYUxw3F2loKLlB\n",
       "bqmUbJt3DNC/ZB2lM3C6BMfS/efPjy+KKu1SKVn2XymKqoujefNg8eLxBdPs2clo09WUpw99Xo4l\n",
       "L8eRBUlbgYeAPyJiSdX+tho5v9ojU3n5jOXlOMDH0q4aXUzNB05V9U8DK8c+afX21aOKnUJ3YVS7\n",
       "+ufc4tyRfWOf01Ng+rQCvdOK9FCgV0V6VUDRQ7mcnB67dClZcVYpgAYHofTXSP/E4Eh7+PEr9C9e\n",
       "TC4Y2deXbIODcOTISL+vD2bMGJm0vXTp+IJp1iyfXjNrgreBN4FtlR1XGjkHbgNuBTZHxJkMYv1P\n",
       "njNl1voaXUz9r+9Rt3z6y3CxUy7DhTL8XdWv3i5fnnh/ZYtIbljb3Z1sXV0j7cpWLI4veKr7c+bA\n",
       "woUTP17dLhZHjxANDCSbmbWWiNgn6cYxuyccOY+I14Dt6b5rgVeAZZI2tfrIlZm1BkUDx5El3Q4M\n",
       "RMSatP8SMFSdkCR5SqVZB4qIpo6xpMXUrsppPkmPAfdHxMa0vwFYGRHPTPHvOoeZdZjJ8lejR6YO\n",
       "AovSJHYGWAesn0pAZmZXSUOKIOcwMxurocVURJQlPQ18RjLBc0uzV/KZmV3Br0B/Vb+fZF6nmVld\n",
       "Gn6dqYjYDexu9N81M6vTpCPnZma1aOq6MklrJB2T9JOkTc187UaStFXSWUnfZR1LvST1S9or6QdJ\n",
       "30t6NuuYaiHpGkkHJB2WdFTSq1nHVC9JXZIOSdqVdSz1kHRS0rfpsXzdpNfcCXwF3CzplKQnI6IM\n",
       "VEbOjwLvTmXk3Pmr9eQlf0H+clin5a+GTkCfJKAu4EeqliUD69vxNKCkO4ESsK36GjbtSNI8YF5E\n",
       "HJbUB3wDPNqm70sxIi5K6gb2Ay9ExP6s46qVpOeBFcDMiFibdTy1knQCWBER57KOpVbOX60pT/kL\n",
       "8pXDOi1/NXNkanhZckRcAioX9Gw7EbEPOJ91HI0QEb9HxOG0XSK5wOoN2UZVm4i4mDZ7SebstfM/\n",
       "7wXAg8BbQB4mPLf7MTh/taA85S/ITw7rxPzVzGJqogt6zm/i69sk0rkky4ED2UZSG0nTJB0GzgJ7\n",
       "I+Jo1jHV4XXgRWAo60AaIIAvJB2UtDHrYGrk/NXi2j1/Qa5yWMflr2YWU742SwtLh8jfA55Lv+G1\n",
       "nYgYiohlwALgLkl3ZxxSTSQ9THIblEPk41vdqohYDjwAPJWeZmo3zl8tLA/5C/KRwzo1fzWzmPKy\n",
       "5BYlqQd4H9gRER9mHU+9IuIC8AnJbULa0R3A2vRc/U7gXknbJvmdlhURv6U//wQ+IDll1m6cv1pU\n",
       "3vIXtH0O68j81cxianhZsqRekmXJHzXx9W0CSu7mvAU4GhFvZB1PrSTNlTQ7bReA1cChbKOqTUS8\n",
       "HBH9EXET8DiwJyKeyDquWkgqSpqZtmcA9wHtuIrM+asF5SV/QX5yWKfmr6YVU/UuS24lEy27zjqm\n",
       "OqwCNgD3pEs/D0lak3VQNbge2JPONzhAchuRLzOOqVHa+RTTdcC+qvfl44j4POOYpsz5q2XlJX9B\n",
       "fnNYR+Svpl0awczMzCyPmnrRTjMzM7O8cTFlZmZmVgcXU2ZmZmZ1cDFlZmZmVgcXU2ZmZmZ1cDFl\n",
       "ZmZmVgcXU2ZmZmZ1cDFlZmZmVod/AQkJRt9vaE31AAAAAElFTkSuQmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0xbddffd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# scaling\n",
    "fig, axes = plt.subplots(1, 2, figsize=(10,4))\n",
    "      \n",
    "axes[0].plot(x, x**2, x, exp(x))\n",
    "axes[0].set_title(\"Normal scale\")\n",
    "\n",
    "axes[1].plot(x, x**2, x, exp(x))\n",
    "axes[1].set_yscale(\"log\")\n",
    "axes[1].set_title(\"Logarithmic scale (y)\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAlMAAADICAYAAADMf2RBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xd4VGX2wPHvm4RQA6EoHUIRKSIRpa2KEQFRuhVXpe1i\n",
       "QURg3V3bCq4/0V0VxIJSBBFdFBtVmkgUpAhCkCJCgNAkCS0FQuq8vz/uJKRMyGRK7p2b83meeTJ3\n",
       "cmfmHCacOXPnve+rtNYIIYQQQgjPBJkdgBBCCCFEIJNmSgghhBDCC9JMCSGEEEJ4QZopIYQQQggv\n",
       "SDMlhBBCCOEFaaaEEEIIIbxw2WZKKTVHKZWglNrl4nd/U0o5lFK18t32rFLqgFJqn1Kqtz8CFkII\n",
       "d0kNE0KUhZKOTM0F+hS+USnVGOgFHMl3W1vgfqCt8z7TlVJy5EsIYSapYUIIv7tsodBarwfOufjV\n",
       "FOAfhW4bCCzQWmdpreOAWKCzL4IUQghPSA0TQpSFUn/qUkoNBI5rrX8t9KsGwPF828eBhl7EJoQQ\n",
       "Pic1TAjhayGl2VkpVQV4DuPweN7Nl7lLkbVqlFKyfo0Q5ZDW+nK1okz4pobV01Ap3y3hzksc+b41\n",
       "zKcpEOHidtlf9pf9rb9/DSC55Pqltb7sxfmsu5zX2wMJwGHnJcsZQV3gGeCZfPdbCXRx8XjaLiZO\n",
       "nGh2CD4juViPXfLQWmvn//sS640/LlLDimeXvzG75KG15GJF7tSvUn3Np7XepbWuq7VuprVuhnEY\n",
       "vKPWOgFYAgxRSoUqpZoBVwE/l+bxhRDCn6SGCSH8oaSpERYAG4FWSqljSqkRhXbJOwSutd4LLAT2\n",
       "AiuA0c6Ozrbi4uLMDsFnJBfrsUseZpIaJoQoC5cdM6W1fqCE3zcvtD0ZmOyDuAJCZGSk2SH4jORi\n",
       "PXbJw0xSwy4vKirK7BB8wi55gOQSqFRZf/BSSsmHPSHKGaWUJQag+4LUMCHKF3fql0xIJ4QQpdLU\n",
       "7AB8xi7fJNslD5BcApU0U16Ijo42OwSfkVysxy552E+E2QH4jF3e7OySB0gugUqaKSGEEEIIL0gz\n",
       "5QU7Da6TXKzHLnkIIYTdSTMlhBBCCOEFaaa8YKcxLZKL9dglDyGEsDtppoQQolTizA7AZyIizI7A\n",
       "N+ySB0gugUrmmRJC+J3MMyWECFQyz5QQQgghhJ9JM+UFO41pkVysxy55CCGE3UkzJYTwK/lKTAhh\n",
       "dzJmSgjhV+NWjmPaHdNkzJQQIuBsPr6Zbo27yZgpIYR5thzfwttb3jY7DB+Ttfmsxi55gORiJVk5\n",
       "WYxaOsqtfaWZ8oKdxrRILtYT6HnkFiKN3Y7iRJgdgM8E+ptdLrvkAZKLlbyx8Q12J+52a9/LNlNK\n",
       "qTlKqQSl1K58t72ulPpNKbVTKfW1UqpGvt89q5Q6oJTap5Tq7XEGQoiA9+amN9mVuIvmNZubFoPU\n",
       "MCGEJw6cOcBLP7zk9v4lHZmaC/QpdNtqoJ3WugOwH3gWQCnVFrgfaOu8z3SllK2PfNlp7TTJxXoC\n",
       "OY/Ys7F5hWhGvxlmhiI1TAhRKlprHl32KBk5GQztMNSt+1y2UGit1wPnCt22RmvtcG5uARo5rw8E\n",
       "Fmits7TWcUAs0LkU8QshbEBrzWPLHiM9O52hHYbSs3lPM2ORGiaEKJV5O+exLm4ddarU4c3eb7p1\n",
       "H28/dY0EvnVebwAcz/e740BDLx/f0gJ9TEt+kov1BGoeH+/8mLWH11K7cm23C5GJynUNE0IUlHgh\n",
       "kb+t/hsAU2+fSp0qddy6X4inT6iUeh7I1Fr/7zK7uRx5Onz4cCKci/aEh4cTGRmZ95VG7huIbJft\n",
       "di6rxOPNdkxMjKXiKU/bi1Ys4slFT0IG3FzpZp4e/TRW5XkNO8Pw4ZPytiIjo4iMjCIiwvVaZHFx\n",
       "rgfiWmH/+HjILQFWiMfT/ePjjdusEo83+xe+j9nxeLN/RIS14nFn/wmrJnB271maJzfngOMA4+ZM\n",
       "KrqzCyXOM6WUigCWaq3b57ttODAKuE1rne687RkArfVrzu2VwESt9ZZCjydztAhhUw9/8zCf/PoJ\n",
       "PZv3ZPVDq1HKmJrFzLX5pIYJIdyxKnYVfT7tQ+WQyuwevTvv5Bm/rM2nlOoD/B0YmFuEnJYAQ5RS\n",
       "oUqpZsBVwM+lfXwhRGBafXA1n/z6CZVCKvFB3w/yGimrkRomhCjsQuYFHlv+GACToiaV+izkkqZG\n",
       "WABsBK5WSh1TSo0E3gGqAWuUUjuUUtMBtNZ7gYXAXmAFMNruH98CdUyLK5KL9QRSHmlZaTy2zFmI\n",
       "bplEi1otTI7IIDVMCOGOSdGTiEuKo0PdDozvOr7U97/smCmt9QMubp5zmf0nA5NLHYUQIqBNip7E\n",
       "4aTDdKjbgQndJpgdTh6pYUKIkmw/uZ0pm6cQpIKY1X8WFYIrlPoxZG0+IYRXdpzcQadZnXBoB1v+\n",
       "uoVODTsV2cfMMVO+JjVMCPvIdmTTdXZXfjn5C+O6jGNqn6lF9vHLmCkhhMiV48hh1NJR5OgcxnYZ\n",
       "67KRsh9Zm89q7JIHSC5l7Z0t7/DLyV9oUqMJL/d42ePHkWbKC4E0pqUkkov1BEIe7/xsFKLG1Rvz\n",
       "8q2eF6LAEmF2AD4TCG927rBLHiC5lKW4pDheWPcCANPvnE610GoeP5Y0U0IIjxxJOsIL3xuF6L07\n",
       "3yOsYpjJEQkhhHu01oxePpq0rDTua3cffVv19erxpJnyQiCvnVaY5GI9Vs5Da80T3z7BhawL3Nv2\n",
       "Xvpf3d/skIQQwm2f7/mcFbErqFGxBtP6TPP68aSZEkKU2sI9C1l+YLnPCpEQQpSVsxfP8tTKpwB4\n",
       "vdfr1KtWz+vHlGbKC4EwpsVdkov1WDWPcxfPMXblWMAoRPXD6psckRBCuO8fa/5B4oVEbm5yM3/p\n",
       "+BefPKY0U0KIUvFHIQoscWYH4DOu1i4LRHbJAyQXf4uOi+bDHR8SGhzKzP4zCVK+aYNknikhhNt+\n",
       "iPuBqHlRhAaHEvNoDG2uaOPW/WSeKSGE2dKz0+nwQQf2n9nPS1Ev8eItL7p1P5lnSgjhM+nZ6Ty6\n",
       "7FEAnrvpObcbKSGEsIJXfnyF/Wf206ZOG/554z99+tjSTHnBqmNaPCG5WI/V8nh1/av8fuZ3Wtdp\n",
       "zTM3PWN2OEII4bbdibt57afXAJjZfyYVQyr69PGlmRJClGhP4h5e3fAqADP7+b4QCSGEvzi0g0eW\n",
       "PkK2I5tHr3+Um5rc5PPnkDFTQojLcmgHN8+9mY3HNvJIx0eY0X9GqR9DxkwJIczy/tb3Gf3taOpX\n",
       "q8/eJ/YSXim8VPeXMVNCCK/N/GUmG49tpF61evyn13/MDscCZG0+q7FLHiC5+NqJlBM8s9YYlvDO\n",
       "He+UupFylzRTXrDamBZvSC7WY4U8/kj9g39+ZwzU9GchCiwRZgfgM1Z4s/MFu+QBkouvjV05lpSM\n",
       "FAZcPYC72tzlt+e5bDOllJqjlEpQSu3Kd1stpdQapdR+pdRqpVR4vt89q5Q6oJTap5Tq7beohRBl\n",
       "YuwKoxD1b9Wfu9vcbXY4pSY1TIjya9G+RXz929dUC63Gu3e8i1L+G2lQ0pGpuUCfQrc9A6zRWrcC\n",
       "1jq3UUq1Be4H2jrvM10pH82GZVFWXjuttCQX6zE7j8X7FvPVb19RLbQa7935nl8LkR9JDROiHErJ\n",
       "SGHMt2MAmNxjMo1rNPbr8122UGit1wPnCt08AJjnvD4PGOS8PhBYoLXO0lrHAbFAZ9+FKoQoKykZ\n",
       "KTzx7RMAvNLjFb8XIn+RGiZE+fTc2uc4kXqCzg07M7rTaL8/nyefuupqrROc1xOAus7rDYDj+fY7\n",
       "DjT0IjbLs8KYFl+RXKzHzDyeX/s8J1JP0KlBJ57o9IRpcfiJ1DAhbGzTsU1M3zqdkKAQZvWfRXBQ\n",
       "sN+fM8SbO2uttVLqcucIu/zd8OHDiXAu2hMeHk5kZGTeVxq5byCyXbbbuawSjzfbMTExloon0Lb3\n",
       "ntrLe3vfI1gF80jtR1j/43qP/p6io6OJs8II1MvwrIadYfjwSXlbkZFRREZGERHhei2yuDjXA3Gt\n",
       "sH98POS+ZFaIx9P94+ON26wSjzf7F76P2fF4s39ERNnHk5WTxSPLZqJ1E57u9wDX1r221I8fHR2d\n",
       "V8uSkoru60qJ80wppSKApVrr9s7tfUCU1jpeKVUfWKe1bq2UegZAa/2ac7+VwESt9ZZCjydztAhh\n",
       "UVk5WXSc2ZHdibt55sZneLXnqz55XDPnmZIaJkT5MXn9ZJ7//nla1GzBrsd3UblCZa8f01/zTC0B\n",
       "hjmvDwMW5bt9iFIqVCnVDLgK+NmDxxdCmOSNjW+wO3E3LWq2cHsR0AAkNUwIGzpw5gD//uHfAMzo\n",
       "N8MnjZS7SpoaYQGwEbhaKXVMKTUCeA3opZTaD/RwbqO13gssBPYCK4DRdv/4VvgrskAmuVhPWedx\n",
       "4MwBXvrhJQA+6PdBmRYif5EaJkT5oLXm0WWPkpGTwbAOw7it+W1l+vyXHTOltX6gmF/1LGb/ycBk\n",
       "b4MSQpSt/IVoaIeh9Gzu8r94wJEaJkT58FHMR6yLW0edKnV4o/cbZf78sjafEIKPYj5ixOIR1K5c\n",
       "m31j9lGnSh2fPr6szSeE8JfEC4m0frc159LPMX/wfB669iGfPr6szSeEKFHihUT+tvpvAEy9farP\n",
       "Gyn7kbX5rMYueYDk4onxq8ZzLv0cvZr34sH2D5bNkxYizZQX7DI2ByQXKyqrPCasmsDZi2fp1byX\n",
       "zz/R2VOE2QH4jF3euO2SB0gupbUydiX/2/U/KodU5oN+H5i2UoM0U0KUY6tiV/Hprk9NL0RCCFFa\n",
       "FzIv8PjyxwF4Keolmtdsblos0kx5wey103xJcrEef+dxIfMCjy1/DIBJUZNMLURCCFFaE6MnEpcU\n",
       "R2S9SMZ3G29qLNJMCVFOTYqeRFxSHB3qdmB8V3MLkRBClMb2k9uZunkqQSqImf1mEhLk1YIuXpNm\n",
       "ygt2GZsDkosV+TOP7Se3M2XzFBSKWf1nUSG4gt+eSwghfCnbkc2opaNwaAdjO4+lU8NOZockzZQQ\n",
       "5U22I5tHlj5iFKIu1ihEgSXO7AB8xtVaZ4HILnmA5OKOt7e8zfaT22lSowkv93jZP09SSjLPlBDl\n",
       "zNRNU5mwegKNqzdmz+g9hFUM8/tzyjxTQghfiEuKo930dqRlpbHsgWX0bdXX788p80wJIQrYnbib\n",
       "F9a9AMD0vtPLpJESQghfyMrJYvii4aRlpXFfu/vKpJFylzRTXrDL2ByQXKzI13mcSTvDgAUDSMtK\n",
       "Y2iHofRr1c+njy+EEP70t9V/44cjP1CvWj2m9ZlmdjgFSDMlRDmQ7cjm/i/v53DSYa6vfz0f9P3A\n",
       "7JCEEMJtH27/kHd+fofQ4FC+vu9r6lWrZ3ZIBciYKSHKgXErxzFtyzTqVq3Ltke20ah6ozJ9fhkz\n",
       "JYTw1MZjG4n6KIosRxZzBsxhxHUjyvT5ZcyUEIK5O+Yybcs0KgRV4Kv7virzRsp+ZG0+q7FLHiC5\n",
       "FHY85Th3fX4XWY4sxnYeW+aNlLukmfKCXcbmgORiRb7IY/PxzXmznL9353vc2ORGrx9TRJgdgM/Y\n",
       "5Y3bLnmA5JLfxayLDP58MAkXEujRrAdv9H7DJ3H5g8fNlFLqWaXUHqXULqXU/5RSFZVStZRSa5RS\n",
       "+5VSq5VS4b4MVgjhvhMpJxj8+WAyczJ5otMTjLp+lNkhWYbULyGsTWvNqKWj2PbHNpqFN2PhPQst\n",
       "PbmwR82UUioCGAV01Fq3B4KBIcAzwBqtdStgrXPbtuyyBhxILlbkTR7p2ekM/nww8efjiYqIYurt\n",
       "U30XWICT+iWE9b256U0+3fUpVStUZfGQxdSuUtvskC7L0yNTKUAWUEUpFQJUAf4ABgDznPvMAwZ5\n",
       "HaEQolS01jyy9BG2/rGVpjWa8sW9X1j6E50JpH4JYWErY1fyz+/+CcDHgz+mfd32JkdUMo+aKa31\n",
       "WeBN4ChGEUrSWq8B6mqtE5y7JQB1fRKlRdllbA5ILlbkaR5vbX6L+b/Op0qFKiwespg6Ver4NrAA\n",
       "J/VLCOvaf2Y/Q74cgkM7mHjLRO5qc5fZIbnFo2WWlVItgHEYIzGTgS+UUg/l30drrZVSLs8fHj58\n",
       "OBHORXvCw8OJjIzM+0oj9w1Etst2O5dV4vFmOyYmxlLxlOX2G5++wT+++wdEwEcDP+LcvnNE74s2\n",
       "5e8pOjqaOAuOpvW2fsEZhg+flLcVGRlFZGQUERGu1yKLi3M9ENcK+8fHQ+5LZoV4PN0/Pt64zSrx\n",
       "eLN/4fuYHY83+0dElG7/lIwU7njvcZIPRXJjk5vorl805e8zOjo6r5YlJRXd1xWP5plSSt0P9NJa\n",
       "/9W5/TDQFegB3Kq1jldK1QfWaa1bF7qvzNEihB/Eno2l86zOnEs/xws3v2CZBUDBWvNMeVO/nPtL\n",
       "DRPCx3IcOQz6fBDL9i+j3RXt2PSXTZZZ7sqf80ztA7oqpSorpRTQE9gLLAWGOfcZBizy8PGFEKWQ\n",
       "kpHCgAUDOJd+jgFXD+ClW18yOyQrk/olhMW8uO5Flu1fRq3KtVjywBLLNFLu8nTM1E7gY2Ab8Kvz\n",
       "5pnAa0AvpdR+jE95r/kiSKvydEyLFUku1uNuHg7t4OFvHua307/R9oq2zB88nyAlU8gVR+qXENby\n",
       "+e7PmbxhMsEqmIX3LKR5zeZmh1RqHo2ZAtBa/xf4b6Gbz2J8yhNClJFJ0ZNY8vsSwiuFs3jIYqpX\n",
       "rG52SJYn9UsIa4iJj2HEYmNW8zd7v8ltzW8zOSLPyNp8QgSwL/d+yb1f3EuQCmLFgyvo3aK32SG5\n",
       "ZKUxU96SGiaEb5y6cIobZt3A0eSjDI8czpwBczC+ebcWWZtPCBvbGb+TYYuMIT6v93rdso2U/cja\n",
       "fFZjlzyg/OSSmZPJPV/cw9Hko3Rp2IX3+75vyUbKXdJMecEuY3NAcrGiy+VxOu00Az8bSFpWGkM7\n",
       "DGV81/FlF1i5F2F2AD5jlzduu+QB5SeXcSvH8eORH2kQ1oBv7v+GSiGVyiwuf5BmSogAk5WTxb1f\n",
       "3MuR5CN0atCJGf1mBPQnOiFE+TJj2wze3/Y+FYMr8s3931A/rL7ZIXlNmikv2GUNOJBcrKi4PCas\n",
       "mkB0XDT1qtWzxSc6IUT5sf7IesasGAPAzP4z6dyws8kR+YY0U0IEkNnbZ/Pu1ncJDQ7l6/u+pmH1\n",
       "hmaHJIQQbjmafJS7F95NtiOb8V3HM7TDULND8hlpprxgl7E5ILlYUeE8fjr6E6OXjwbgg74f0K1x\n",
       "NxOiEkKI0kvLSmPQZ4M4lXaKXs178d9ehWcmCWzSTAkRAI4lH+PuhXeT5cjiqS5PMeK6EWaHVI7F\n",
       "mR2Az7hauywQ2SUPsGcuWmv+suQv7IjfQYuaLfjsns8ICfJ4mktLknmmhLC4i1kXuXnuzfxy8hd6\n",
       "NOvBqodWBVwhknmmhCi//rPhPzyz9hmqhVZj81820+7KdmaHVCoyz5QQAU5rzailo/jl5C80C2/G\n",
       "wnsWBlwjJYQov7498C3Prn0WgE8GfxJwjZS7pJnygl3G5oDkYkXR0dG8sfENPt31KVUrVGXxkMXU\n",
       "rlLb7LCEEMIt+07v44GvHkCj+XfUvxnYeqDZIfmNfMQVwqJ+PvEzz8Q+A8D8wfNpX7e9yREJIYR7\n",
       "ktKTGPjZQFIyUri7zd083/15s0PyKxkzJYQF7T+zn86zOpOckcykWyYxMWqi2SF5RcZMCVF+5Dhy\n",
       "6L+gPytiV3Bt3Wv5aeRPVAutZnZYHpMxU0IEoOT0ZAZ+NpDkjGQGtx7Mv275l9khiQJkbT6rsUse\n",
       "YI9cnv/+eVbEriD8YiSL7l8U0I2Uu6SZ8oJdxuaA5GIVOY4cHvz6Qfad3kdEUgTzBs0jSMl/U2uJ\n",
       "MDsAn7HDGzfYJw8I/FwW7FrAf376D8EqmBc7zKFZzWZmh1QmPK7SSqlwpdSXSqnflFJ7lVJdlFK1\n",
       "lFJrlFL7lVKrlVLhvgxWCLv717p/sfzAcmpVrsUrPV4hrGKY2SHZltQwIXzrlz9+YeSSkQC81ect\n",
       "rqt/nckRlR1vPvJOA77VWrcBrgX2Ac8Aa7TWrYC1zm3bsssacCC5WMHnuz/n1Q2vEqyCWXjPQv7c\n",
       "/89mh2R35b6GCeErCecTGPT5INKz0/nrdX/liU5PmB1SmfKomVJK1QBu1lrPAdBaZ2utk4EBwDzn\n",
       "bvOAQT6JUgib23FyByMWG7OaT7l9Crc1v83kiOxNapgQvpOZk8ndC+/meMpx/tT4T7x757soZYvz\n",
       "Tdzm6ZGpZsAppdRcpdR2pdQspVRVoK7WOsG5TwJQ1ydRWlQgj80pTHIxT+KFRAZ9PoiL2RcZETmC\n",
       "Jzs/CQReHgFGapgQPqC1Zsy3Y/jp2E80DGvIV/d9RcWQimaHVeY8nWcqBOgIjNFab1VKvUWhw+Fa\n",
       "a62Ucnn+8PDhw4lwLtoTHh5OZGRk3lczuW8gsl2227msEo832zExMZaK53Lbq9eu5unVT3O0ylG6\n",
       "NurKkGpD+OGHHywTnzd/T9HR0cRZdzStFzXsDMOHT8rbioyMIjIyiogI1+uqxcW5HlRshf3j4yH3\n",
       "JbNCPJ7uHx9v3GaVeLzZv/B9zI6npP2/+W0Rs7bsJ7ROKxaN+pR61eoVeAyrx+9q/+jo6LxalpRU\n",
       "dF9XPJpnSilVD9iktW7m3L4JeBZoDtyqtY5XStUH1mmtWxe6r8zRIgSQmpHK4M8Hs/bwWhqENWDb\n",
       "qG3UD6tvdlh+YbV5pqSGCeG9d7a8w9iVYwFjqZgHr33Q5Ij8w2/zTGmt44FjSqlWzpt6AnuApcAw\n",
       "523DgEWePL4Qdnc67TS3fXwbaw+vpW7Vuqx4cIVtGykrkhomhOe01kyKnpTXSL3e63XbNlLu8uZs\n",
       "vieBT5VSOzHOhHkFeA3opZTaD/RwbtuWnca0SC5l53jKcbrP7c7WP7YSER7BhpEbuLbutUX2s3oe\n",
       "NlDua5gQpeXQDsauGMtLP7xEkAriwwEf8vSfnjY7LNN5vDaf1non0MnFr3p6Ho4Q9vb76d/p/Ulv\n",
       "jiYf5Zorr2HVQ6toENbA7LDKJalhQpROVk4WwxYNY8HuBYQGh/LZ3Z8xuM1gs8OyBFmbT4gysv3k\n",
       "dvp80odTaafo1qgby/68jFqVa5kdVpmw2pgpb0gNE+VRWlYa9yy8hxWxK6gWWo3FQxbTo1kPs8Mq\n",
       "E7I2nxAWER0XTdRHUZxKO8XtLW5nzcNryk0jZT+yNp/V2CUPsGYuSelJ9J7fmxWxK6hduTbfD/3e\n",
       "rUbKirn4izRTXrDTmBbJxX8W71tMn0/6kJqZyv3t7mfJA0uoGlq1xPtZLQ+RK8LsAHzGLm92dskD\n",
       "rJfLydST3PLRLfx07CcaVW/EhpEb6NTQ1bfjRVktF3+SZkoIP5oXM4+7F95NRk4Gj9/wOJ/e9Smh\n",
       "waFmhyWEECU6dO4QN829iV8TfuXq2lfz08ifaF2ndcl3LIekmfJCoK4B54rk4ntTNk1h+OLh5Ogc\n",
       "/tX9X7x353sEBwW7fX+r5CGEKH92Jezixjk3cujcIW5ocAPrR6ynSY0mZodlWR6fzSeEcE1rzQvf\n",
       "v8DkDZMBeOv2t3iq61MmRyWEEO7ZeGwjff/Xl6T0JG6NuJXFQxYTVjHM7LAsTY5MecFOY1okF9/I\n",
       "ceTw+PLHmbxhMsEqmI8HfexxI2Wn10QIERhWxq6k58c9SUpPYlDrQXz74LfSSLlBjkwJ4SMZ2Rk8\n",
       "/M3DfLH3CyqFVGLhPQvpf3V/s8MSPhdndgA+42rtskBklzzA3FwW7FrA0EVDyXZkMzJyJDP6zyAk\n",
       "yPM2wU6vS0lknikhfOB85nnu+vwu1hxaQ/WK1Vn6wFK6N+1udliWIfNMCWFt07dOZ8y3Y9Bonu72\n",
       "NP/t9V+UssV/Wa+5U7/kyJQQXjqTdoa+/+vLlhNbuLLqlax8cCXX1b/O7LCEEKJEWmte/vFlJkZP\n",
       "BOC1217jnzf90+SoAo+MmfKCnca0SC6eOZFygu4fdWfLiS00rdGUDSM2+KyRstNrIoSwHod2MG7l\n",
       "OCZGTyRIBTGz30xppDwkR6aE8NCBMwfoNb8XR5KP0PaKtqx+aDUNqzc0OywhhChRVk4WI5eM5JNf\n",
       "PyE0OJRP7/qUe9reY3ZYAUvGTAnhgR0nd9Dn0z4kXkikS8MuLP/zcmpXqW12WJYlY6aEsI6LWRe5\n",
       "78v7WLZ/GVUrVGXRkEX0bC7rexdH1uYTwg9+PPIjUfOiSLyQSK/mvfhu6HfSSJUrsjaf1dglD/B/\n",
       "LknpSdz+ye0s228stP79sO/91kjZ6XUpiTRTXrDTmBbJxT1Lf1/K7Z/cTkpGCve2vZelDyylWmg1\n",
       "vzyXnV4Te4kwOwCfscubnV3yAP/mknA+gaiPolh/dD0NwxqyfsR6Ojfs7Lfns9PrUhKvmimlVLBS\n",
       "aodSaqlzu5ZSao1Sar9SarVSKtw3YQphvvk75zP488GkZ6fz6PWPsuDuBVQMqWh2WMJDUr9EeRKX\n",
       "FMdNc29iZ8JOWtVuxU8jf6LtFW3NDss2vD0y9RSwF8gdQPAMsEZr3QpY69y2LTutnSa5XN60zdMY\n",
       "umgoOTqH5256jvf7vl+qdfY8YafXxKLKdf0S5cfuxN3cOOdGYs/G0rF+R9aPWE/TcPt8XW0FHjdT\n",
       "SqlGwJ3AbCB3YNYAYJ7z+jxgkFfRCWEyrTUvrnuRcavGAfBm7zd55bZXZDK7ACf1S5QXm49vpvvc\n",
       "7vyR+ge3NL2FdcPWcWXVK80Oy3a8OTI1Ffg74Mh3W12tdYLzegJQ14vHtzw7jWmRXIpyaAdjvh3D\n",
       "yz++TLAKZu7AuUzoNsEnj+0OO70mFlTu65ewv9UHV3Pbx7dxLv0cA64ewMqHVlK9YnWzw7Ilj+aZ\n",
       "Ukr1AxK11juUUlGu9tFaa6WUy/OHhw8fToRz0Z7w8HAiIyPzvtLIfQOR7bLdzmWVeLzZjomJ8frx\n",
       "/nTznxi2aBifLf2MCsEV+OLvXzCw9UBL5BcI27nX4yw4AtXb+gVnGD58Ut5WZGQUkZFRRES4Xoss\n",
       "Ls71QFwr7B8fD7kvmRXi8XT/+HjjNqvE483+he/j6eOvO7yOV9b/lxxHJ25v2Yc3Oz9NpZCib/n+\n",
       "zDciwvzQqWbrAAAbx0lEQVR/T0/2j46OzqtlSUlF93XFo3mmlFKTgYeBbKASUB34GugERGmt45VS\n",
       "9YF1WuvWhe4rc7QIS7uQeYF7vriHlbErCQsNY8kDS4iKiDI7rIBmpXmmvKlfzvtLDROWNmPbDB5f\n",
       "/jgazfiu43mj9xsEKTl531N+m2dKa/2c1rqx1roZMAT4Xmv9MLAEGObcbRiwyJPHF8Ispy6covcn\n",
       "vVkZu5I6Veqwbtg6aaRsRuqXsCuHdvB/P/4fjy1/DI3mlR6v8GbvN6WRKgO++hfO/Zj2GtBLKbUf\n",
       "6OHctq3CX5EFsvKei9aahXsW0nZ6WzYe20iTGk3YMGID1ze43vcBuslOr4nFlcv6Jezl4NmD9JjX\n",
       "g3+t+xcKxQd9P+C5m5+Tk2XKiNdr82mtfwB+cF4/C8ic9CKgJJxPYPS3o/n6t68B6NGsB/MGzaNR\n",
       "9UYmRyb8TeqXCHQO7eCdLe/w7NpnuZh9kSurXsns/rPpf3V/s0MrV2RtPlFuaa35bPdnjFkxhrMX\n",
       "zxIWGsYbvd9gVMdR8mnOx6w0ZspbUsOEVew/s5+Ri0fy07GfAHiw/YNM6zNNlrfyMXfql9dHpoQI\n",
       "RCdTT/L48sdZ/PtiAHq36M2s/rNoUqOJyZEJ67PPZIfFnQEXaOySB7iXS44jh7c2v8UL614gPTud\n",
       "etXqMaPfDAZcPaAsQnSbnV6XksioNC/YaUxLeclFa838nfNpN70di39fTPWK1ZndfzYrH1xpuUbK\n",
       "Tq+JvUSYHYDPWHDmCo/YJQ8oOZd9p/dx09ybeHrN06RnpzO0w1D2jN5juUYK7PW6lESOTIly40TK\n",
       "CR5d9ijLDywH4I6WdzCz/0wZGyWEsLxsRzZTNk3hxXUvkpGTQcOwhszoN4O+rfqaHZpAmimv2Gnt\n",
       "NDvnorXmo5iPGL9qPMkZydSoWINpfaYxtMNQS4+NstNrIoTw3J7EPYxYPIKtf2wFYGTkSN68/U3C\n",
       "K8la3FYhzZSwtWPJx3hk2SOsjF0JQL9W/ZjRbwYNwhqYHJkQQlxetiOb//70X1764SUyczJpVL0R\n",
       "s/rPok/LPmaHJgqRMVNesNOYFrvlorVm1i+zaDe9HStjV1KzUk3mD57PkiFLAqaRstNrIoQonV0J\n",
       "u+g6uyvPf/88mTmZPNLxEfaM3iONlEXJkSlhO/Hn47n9k9tZc2gNAINaD+L9vu9Tr1o9kyMT9hBn\n",
       "dgA+Y5czreySB0DDxlm8/MNrvPzjy2Q5smhaoymzB8ymZ/PAmwLNTq9LSWSeKWEbDu1g5i8z+fua\n",
       "v3M+8zy1K9fm3Tvf5f5291t6bFR5IPNMCVGymPgYRiweQUx8DACjbxjNaz1fI6ximMmRlW8yz5Qo\n",
       "Nw6fO8xflvyFdXHrALin7T28e8e71K1W1+TIhBDi8jJzMnnlx1eYvGEy2Y5smoU348MBH3Jrs1vN\n",
       "Dk24ScZMecFOY1oCNReHdvDuz+/S/v32rItbxxVVrmBik4l8ce8XAd9IBeprIoRw3/aT2+k0qxP/\n",
       "/vHfZDuyebLzk/z6+K/SSAUYOTIlAtbBswcZuWQkPx75EYAh1wzh7T5vs2frHpMjE/llZpodgRDW\n",
       "k5Gdwcs/vsxrG14jR+fQomYL5gycQ/em3c0OTeTj7jf6MmZKBJzCC3vWrVqX9/u+z+A2g80OTQB/\n",
       "/AGbNl26/PILZGTImCkhcm09sZURi0ew59QeFIpxXcfxfz3+jyoVqpgdWrmXlgbbtl2qX5s3Q0KC\n",
       "jJkSNiMLe1pLZibExBRsno4eNTsqf5O1+awmUPJIz05nUvQkXt/4Og7toFXtVswZMIcbm9yYt0+g\n",
       "5OIOq+eitRFj/vq1cydkZ5f+saSZ8kJ0dLRtZqm2ei6FF/asX60+H/T7wOV6VFbPxV1WzOPkyaJH\n",
       "ndLTC+4TFgZdu0K3bsalSxeoVcuceP0jwuwAfMbqb3buCoQ8Nh/fzIjFI9h3eh9BKoinuz3Nv2/9\n",
       "N5UrVC6wXyDk4i6r5XLxYsGjTps2QUJCwX2CgiAy8lL96tYNrrqq5Mf2qJlSSjUGPgauBDQwU2v9\n",
       "tlKqFvA5xke3OOA+rXWSJ88hRK59p/cxYvEINh/fDMCwDsOYevtUalauaXJk9paVVfSo05EjRfdr\n",
       "3dooOLkNVNu2EBxc9vGWhtQwUVYuZl3kxXUvMmXzFBzaQZs6bZg7cC5dGnUxOzRb09qoV/nrV0xM\n",
       "0aNOtWsXbJw6dYJq1Ur/fB6NmVJK1QPqaa1jlFLVgF+AQcAI4LTW+r9KqX8CNbXWzxS6r4w3EG45\n",
       "mnyUt7e8zbs/v5u3sOfM/jO586o7zQ7NluLjCxaebdtcH3Xq0qX0R52sNs+UdzUsSmsdXeYx+0N0\n",
       "NFjs4KdHrJhHenY6C3YtYPKGycSejSVIBfGPP/2DiVETqRRSqdj7WTEXT5VlLhcvGkfK89ew+PiC\n",
       "+wQFQfv2BZunli2hpGkI/TbPlNY6Hoh3Xj+vlPoNaAgMAG5x7jYPiAaecfUYQhTn5xM/M2XTFL7c\n",
       "+yU5OgeQhT19LSvLGBuQv/DExRXdr1Uro+D86U+Bc9TJHVLDhL+cunCK97e9z3tb3yPxQiIA7a5o\n",
       "x9yBc+nUsJPJ0dmD1sbYzMJHnbKyCu5Xq1bRo05hfpr/1OsxU0qpCOA6YAtQV2ud+w1kAhDYE/2U\n",
       "wIpjWjxldi45jhwW7VvElM1T2HhsIwAhQSH8+Zo/M77reG5ocIPbj2V2Lr7iqzyys2HfPti+3bj8\n",
       "8otxuXix4H7VqkHnzpcKT9euxiFwuyvPNUz4zp7EPby1+S3m/zqfjJwMACLrRTKh6wTuv+Z+QoND\n",
       "TY4wcP3xx6X6tX07bN1q3JZfUBBce23RsU5ltfiFV82U8/D4V8BTWuvU/Et2aK21Usrl93nDhw8n\n",
       "wjkqLTw8nMjIyLw3jdyJCmW7bLdzlfXzL1+9nBWxK1ietZy4pDg4DFVDqzLmvjGM6TyG2O2xnN9/\n",
       "Hhq4H19MTIzp/55mba9ZE82RI6BUFNu3w7p10Rw8CJmZxu+NAy0AUVx1FTRrFk27djBsWBTXXAPr\n",
       "1/smntzrca4Od1mIZzXsDMOHT8rbioyMIjIyiogI14Nt4+JcH/Wzwv7x8cZXMVaJx9P94+OLH+zs\n",
       "z3i01sz/cT3vrl7G1hM/O2/tRrfG3Rh7+wDuv7FLkaWsSnr8ws8RCP/+xe0fEVHaf0/YuBHWrYPf\n",
       "f4cDB2D/fjh3ruj9a9UyPvC1bg0NGkCbNlAl38wSoaGuGyl34omOjs6rZUlujpj0eJ4ppVQFYBmw\n",
       "Qmv9lvO2fUCU1jpeKVUfWKe1bl3ofjJmSnAk6Qhvb3mb2Ttmk5KRAkCLmi0Y13UcwyOHUy3UgxGA\n",
       "5Ux6Ouzadelo0/btxrarSTKbNYOOHY3L9dcblzp1yi5Wq42ZAqlhwnPp2el8+uunTN08lT2njEmC\n",
       "K4dUZkTkCJ7q+hStarcyOULr0xoOHSp4xHz7djhzpui+NWpcql+5NaxVq7I76uS3MVPKaLU/BPbm\n",
       "FiGnJcAw4D/On4s8eXxhX5uPb2bq5ql8tfervPFQ3Zt2Z0LXCfRr1Y/gIBsMyPGDCxfg118vFZzt\n",
       "22HPHtfzobRqVbDwXHed3aYm8J7UMOGJhPMJvL/tfaZvnc6ptFMANAhrwJOdn+SR6x+hVmX5j+aK\n",
       "w2EcZcrfNG3fDsnJRfetXdtolvLXsObNy65x8pSnZ/PdBPwI/IpxWjHAs8DPwEKgCcWcVmynT3V2\n",
       "GZsD/s0l25HNN799w9TNU9l0fBNgjIe6v939jO86nusbXO/T5wv01yUlxRhMuXBhNMnJxtd1+/YZ\n",
       "BSm/oCDjEHf+whMZCdWrmxP35VjtyJTUMFEauxN3M3XTVD7d9WneeKiO9Tsyvut47mt3n4yHysfV\n",
       "GM2YGDh/vui+deteOlKeW8MaN7Ze4+TPs/k2UPwiyT09eUxhPykZKXy4/UOmbZnGkWRjgqKalWry\n",
       "6PWPMqbzGBpWb2hyhObSGhITja/mduy4VHgOHCi6b0iIcUpv/sPc114LVauWfdx2IDVMlERrzaqD\n",
       "q5i6eSqrD64GQKEYePVAxncdT/em3YuMhypv0tLgt9+MZim3edq5s+jJLWA0SfnrV8eOUL9+2cfs\n",
       "L7I2n/C5uKQ4YzzU9tmkZqYC0LJWS8Z3Hc+wDsOoGlr+OoCzZ42v5XbvNi65112NDwgNNRql/Ie5\n",
       "27eHSsVPTWN5Vjsy5Q2pYfZ2Mesin/z6CW9teYu9p/YCUKVCFUZGjmRsl7FcVduN6bBtJiPDGBCe\n",
       "W7dyfx465Hoh4GbNCh5tuu46uPLKso/bV/x2ZEoIVzYd28SUzVP4+revcWjjO6moiCgmdJ1A31Z9\n",
       "CVLFHQiwj5QU2Lu3YMHZs8dYhsWVGjWgXTvj67nc4tO2rdFQCauStfmsxhd5JJxPYPrW6UzfNp3T\n",
       "aacBaBjWMG88VFmtuGDma5KdDbGxRevX/v2Qk1N0/5AQuPrqS0fNr7/eaJxqOv+p7PL35Q5pprwQ\n",
       "6GNz8vM0l2xHNl//9jVTN0/NW+4lJCiEB9s/yPiu47mu/nU+jrRkZfG65B7eLvxJrbhFfqtWNZqk\n",
       "a64xmqdrrjEuDRoUPz7ATn9f9hJhdgA+Y5c3O2/y2JWwi6mbjfFQmTnGqbDX17+eCd0mcG/be6kQ\n",
       "XMFncbqjLF4ThwMOHy5av/btc302cFCQMWdTbt3KrWFXXXX5D352+ftyhzRTwiPJ6cnM3j6bt39+\n",
       "m6PJRgdRs1JNHrvhMZ7o9IRtxkNlZhqHtwt/Ujt40PXh7YoVjflOcotN7s+mTY2CJIQwn0M7WBW7\n",
       "iimbp/Ddoe8AYzzUoNaDmNB1Ajc1uckW46G0huPHC9av3buND4Jpaa7vExFRtH61bg2VK7veXxik\n",
       "mfKCnY4auJOL1prdibuZs2MOs3fM5nymcXpGq9qtGNdlHEM7DLXEeChPXpekJOPwdu4kcbmF58AB\n",
       "19MPhIQYUxDkP8rUrh20aGH8zhfs9PclhBUkXkjkm9++4a0tb7Hv9D4AqlaoysjrjPFQLWu1NDlC\n",
       "z2RmGkeaDhwwLr/9dqmBSklxfZ8GDQo2TO3aGUfP/bXcit1JMyUu64/UP1hzcA1rDq3hu0PfkXAh\n",
       "Ie93t0bcyoRuE7jzqjsDYjxUSsqlhqnw5fRp1/dRylgIs/DXc61aybgmIazuYtZF1h9dz5qDa/ju\n",
       "8HfExMfk/a5R9UaM7TyWv3b8a5mNh/JGVpbxtVn+upVbz+Liik6dkqtOnaJfz7Vrd2lck/ANaaa8\n",
       "YKcxLbm5nM88zw9xP7DmkNFA5Z7NkqtBWAPuaHkHYzqPIbJepEnRFu/8efjss2hq1Igq0jAlJhZ/\n",
       "v8qVjabpqquMS+74ptatCy5RUJbs9PclRFlwaAcx8TF5HwA3HN2QNy8UQKWQStzc5GZGRI7gnrb3\n",
       "lPl4qJJkZ8OJE7ByZcFm6cAB48iTq0HgYHzoi4gwalfLlkbdym2gAvksukAizVQ5l+3IZtsf2/g4\n",
       "5mMmxk1k07FNZDkuLb1dtUJVoiKi6NW8F71a9KJNnTamjyVISyv+CFN8fPH3q1TJ+Bout2HKvbRs\n",
       "aRzyljFNwj1xZgfgM3YYHHwk6Qhbzm/mgy+/Ye3htXln4oExDqpj/Y5G/Wreixub3EilEHPnGMnJ\n",
       "MU5UKXx0KbdhyspyfT+loEmTSzUrfw1r3twYr2k1dvj7cpfMM1XOaK05eO5g3ie37w9/T3LGpTn9\n",
       "g1QQnRp0ymueujbqWuaz+zockJBgFJwjR4oe2i68Wnh+oaHFN0yNGknDZBaZZ0r4SnJ6Muvi1uXV\n",
       "sANnC85y26RGk7zm6bbmt1GnShkuQumUknKpfh09WrBhOnTI9RlzuRo1Ktos5TZMMgjcHDLPlADg\n",
       "TNoZvj/8fd5Xd3FJcQV+37JWS3o170XP5j25NeJWv48fSEszCkzhS27hOXas+E9nABUqGIWlcLN0\n",
       "1VXGLLvBsryfELaRlZPFlhNb8pqnn0/8nLeuJ0D1itXp0awHPZv1pFeLXlxV6yq/Hj3PzjbmjXNV\n",
       "u3Ivrtacy69BA9cNU4sW5g0rEN6RZsoLVh3TkpGdwU/HfsorPttPbkdz6ZN0rcq1uK3ZbXlHnyLC\n",
       "I4xc2kR5/dwOhzE2qbgic/Ro8YO986tTxzik3bSp8TN/4WnS5PJnzFn1dSktu+QhRGlordl3el/e\n",
       "h7/ouOi8M4fBmMfupsY35R196tSwEyFBvnsrS029fP06frz4sUu5Kle+VL8aNy54tLxlS1kGyo6k\n",
       "mbIBrTW7EnflNU8/HvmRi9mXFkcKDQ7lxsY35jVP19W7juAgzw7fnD9vfM3mqsgcOWIcVbrcIWww\n",
       "vopr3NgoNrmX3KapSRPjd/LpTIjyI/FCIt8d+s5ooA6u4UTqiQK/b12ndV7zFBURRVhFz87fz8q6\n",
       "NISguCPjSUklP069eq5rV+6ldm3rLdYr/EvGTAWQbEc2x5KPcfDcQWLPxnLw7EFiz8Wy8dhGEi8U\n",
       "PFXt2rrX5n11171pd6pUKL47uXDBKDAJCcYA7sv9LG6it/xq13ZdYHILz5VXytil8kbGTAmtNWcu\n",
       "njHq1tlYDp47yMFzB9kZv5OdCTsL7HtFlSvo2bxn3gfARtUbFfu42dlw6lTJtSshwfVamIXlHlVy\n",
       "VbuaNDHGNFlxsLfwH3fqlzRTFpOenc7hc4eLNEwHzx4kLimuwJl2+TUIa1Bg0GWN4HpFCklxReb8\n",
       "eZcP6VLlysZK38V9KmvcWA5hi6Ls1UxFaK3jzA7DJ3y93IdDO/gj9Y8CDVNe43T2YIGTXfKrFFKJ\n",
       "7k2759WwtnXac+Z0kFsf8s6ccb0agStBQcaHudwj464+9NWpY+5RJTstwWKXXGQAup95OqYlJSOl\n",
       "4KezfA3T8ZTjBcY3FVanYgPqVmhJLVpQPbsFldNbEnquPRm723BokeKleBidUPyst65UrAg1akQT\n",
       "ERFF3brGIWxXP+vWNWbHtfrha7uMNbJLHvYTYXYAPuPJm11WThZHko/kfdjL3zAdOneI9Oz0Yu9b\n",
       "JTiM+hVbUie4BeE5LamS0YLQ1FYEx3fm1A+VmJ8Ar8cb4yqLm4SyMKUgPNxokC5Xu+rVM46aW/0E\n",
       "Fbs0IGCvXEri82ZKKdUHeAsIBmZrrf/j6+ewipiYGJdvdlprTqWdymuYYs8eZF9iLAfOHCQu+SDn\n",
       "Mk8V+5hKB1MxLYKQlBY4zrQgM74lOadawNmWkNSM01lVcGP8NhUquC4mrn7WqAHTpsUwblzRXAJR\n",
       "ca9LoLFLHoGm5BrmxqCaABET47phT8tKy2uUDp49yO+nYvn91EEOJcVyMu1ogbPpCquQeSUVUlvA\n",
       "uRZkJ7QkM8FZv862IC2tDgdRHHQjtjp13KthderAu+9G26h+2edDlJ1yKYlPmymlVDDwLtATOAFs\n",
       "VUot0Vr/5svn8ReHA86nZZOYlMqplFROp6Zy9rxxOZeWStLFVFLSjUtqZiq/rfqOuediSMtJJd2R\n",
       "SrpOJZMULoQcIycktfgnyqoE51rAWWeRyXddJzchw1GBjHy7h4YaU//XbGF8AqtZ89IlPNwoJoWL\n",
       "TM2apTuClOTOqMsAYZdc7JJHIHGvhlnzddEaMjM1iUkXjPqVksqZ3Pp1wahfyRdTSclIJTUjlfNZ\n",
       "qez5YhczznzARYdRwzJI5WJQAhmhJy/zRAqSmzjrVssidSwrM4z8gxFyjxzVrOe6ftWqVbRBuuIK\n",
       "4wOhu2JiooEoz/7hLEZyCUy+PjLVGYjNHVCglPoMGAgUaKbmrNpKdo6D7GyH8dPhvO4wtnNytPHT\n",
       "uZ3/+qWfusBtDodx/5x8F4dDk+3IIS37PGnZqUbB0Klk6FSylHHJDk4lJyQVR0gqhKZCheIPUReh\n",
       "4UTQVnA1mDq9RoFCE3qhBdWzW1JbteCKyvWpVTPIKCxtihaXwtuVK1v/qzUhbMKtGjZrxZZia1hu\n",
       "/TKuu6hb+X6Xk69uORzOuqcv/c6hHaRnp5OWk8rFHKOGZehUMkklK8i45AQb9UuHpkLoeVClGZPa\n",
       "lLMh3xW9OacCnGuW1yQFJbWgWpYxvOCKCs2oXaOiUasaQc32xdeumjWhenU54UTYn6+bqYbAsXzb\n",
       "x4EuhXf6y+bOPn5apyBcNzaloRUqM4yg7DCCs8MIcYRRwRFGKGFUVGFUUmFUDg6jakgYcWeX0JXH\n",
       "CasYRvVKYdSoFEZ45TCa1mpA4zq1qFVL5RUVqy+KGxcXZ3YIPmOXXOySR4Bxq4Y98nNX3z+z4lJF\n",
       "9mbJuKzKBGUZNSwkpzoVdBihOoyKzhpWOTiMKs4aFqu3cVPIq1SvGEaNykb9ujKsNi2vbESdWsF5\n",
       "jVGVKvKBTojL8enZfEqpu4E+WutRzu2HgC5a6yfz7SOn8glRDgXC2XxSw4QQrpT12XwngMb5thtj\n",
       "fLJzOyAhhDCR1DAhRKn5+pvsbcBVSqkIpVQocD+wxMfPIYQQ/iI1TAhRaj49MqW1zlZKjQFWYZxW\n",
       "/GGgnMknhBBSw4QQnijzGdCFEEIIIeykTE9YVUr1UUrtU0odUEr9syyf25eUUnOUUglKqV1mx+It\n",
       "pVRjpdQ6pdQepdRupdRYs2PyhFKqklJqi1IqRim1Vyn1qtkxeUspFayU2qGUWmp2LN5QSsUppX51\n",
       "5vKz2fF4SuqX9dilfoH9alh5q19ldmTKORne7+SbDA94IBAPoSulbgbOAx9rrdubHY83lFL1gHpa\n",
       "6xilVDXgF2BQgL4uVbTWaUqpEGAD8LTWeoPZcXlKKTUBuB4I01oPMDseTymlDgPXa63Pmh2Lp6R+\n",
       "WZOd6hfYq4aVt/pVlkem8ibD01pnAbmT4QUcrfV64JzZcfiC1jpeax3jvH4eY3LCBuZG5RmtdZrz\n",
       "aijGeJdAfvNuBNwJzMaYgSjQBXoOUr8syE71C+xTw8pj/SrLZsrVZHgNy/D5RQmUUhHAdcAWcyPx\n",
       "jFIqSCkVAyQA67TWe82OyQtTgb8Dbi73amka+E4ptU0pNcrsYDwk9cviAr1+ga1qWLmrX2XZTMlI\n",
       "dwtzHiL/EnjK+Qkv4GitHVrrSKAR0F0pFWVySB5RSvUDErXWO7DHp7obtdbXAXcATzi/Zgo0Ur8s\n",
       "zA71C+xRw8pr/SrLZqrEyfCEOZRSFYCvgE+01ovMjsdbWutkYDlwg9mxeOhPwADnd/ULgB5KqY9N\n",
       "jsljWuuTzp+ngG8wvjILNFK/LMpu9QsCvoaVy/pVls2UTIZnQUopBXwI7NVav2V2PJ5SStVRSoU7\n",
       "r1cGegE7zI3KM1rr57TWjbXWzYAhwPda66Fmx+UJpVQVpVSY83pVoDcQiGeRSf2yILvUL7BPDSuv\n",
       "9avMmimtdTaQOxneXuDzAD7jYgGwEWillDqmlBphdkxeuBF4CLjVeernDqVUH7OD8kB94HvneIMt\n",
       "wFKt9VqTY/KVQP6KqS6wPt/rskxrvdrkmEpN6pdl2aV+gX1rWLmoXzJppxBCCCGEF8p00k4hhBBC\n",
       "CLuRZkoIIYQQwgvSTAkhhBBCeEGaKSGEEEIIL0gzJYQQQgjhBWmmhBBCCCG8IM2UEEIIIYQX/h9M\n",
       "Iz2H2S7f1AAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc334ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# axis grid\n",
    "fig, axes = plt.subplots(1, 2, figsize=(10,3))\n",
    "\n",
    "# default grid appearance\n",
    "axes[0].plot(x, x**2, x, x**3, lw=2)\n",
    "axes[0].grid(True)\n",
    "\n",
    "# custom grid appearance\n",
    "axes[1].plot(x, x**2, x, x**3, lw=2)\n",
    "axes[1].grid(color='b', alpha=0.5, linestyle='dashed', linewidth=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAb4AAAEACAYAAADMTRPsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xd8VHXW+PHPoUtRURRQUFDsXX6izwoSVLCtiF1XBdva\n",
       "u64UUUABBRX7WlGxgCAggisIrkTBgiJNKSKuLKCAsHSpSc7vjzNhAgRI5s7k3pk579drXszcTOae\n",
       "5Nknx/Mt5yuqinPOOZctyoUdgHPOOVeWPPE555zLKp74nHPOZRVPfM4557KKJz7nnHNZxROfc865\n",
       "rBLZxCdCfRHGijBdhB9FuCN2vasIC0SYHHucGXaszjmXkUReR2QxIj8U87V7ESlAZI8i1zoi8jMi\n",
       "sxBpVZahloZEdR+fCHWAOqpMEaE68D3QBrgEWK1Kn1ADdM65TCfSDFgDvIXqUUWu1wdeBQ4BGqO6\n",
       "DJHDgf7ACcC+wKfAwagWlHncOxHZik+VRapMiT1fA8zEfpkAElpgzjmXLVTHAcuL+Uof4P6trp0H\n",
       "DEB1E6pzgTlAk9QGmJjIJr6iRGgAHAd8E7t0uwhTRegrwu7hReacc1lG5DxgAarTtvrKPsCCIq8X\n",
       "EC9WIiXyiS82zDkYuDNW+b0INASOBRYCT4YYnnPOZQ+RqkAnoEvRqzv4jkjOpVUIO4AdEaEiMAR4\n",
       "R5VhAKr8UeTrrwEjtv0+ieQv2znnok5Vd5TIDgQaAFMRAagHfI/IicBvQP0i760XuxY5ka34RBCg\n",
       "LzBDlaeLXK9b5G3nA9uuNgJU1R+qdOnSJfQYovLw34X/Lvx3seXjo48UEXuMHFmCekH1B1Rro9oQ\n",
       "1YbYcObxqC4GhgOXIVIJkYbAQcC3ieaAVIpyxXcycCUwTYTJsWudgMtFOBYroX8FbgwpPuecS1s/\n",
       "/wxXXAGq0KMHnFncxjCRAUBzYE9E5gMPofpGkXfEs6XqDEQGATOAPOAWVCM5+hbZxKfKeIqvSEeW\n",
       "dSzOOZdJ1qyB88+HlSvt344dt/NG1ct3+EGqB2z1uifQMzlRpk5khzpdcuTk5IQdQmT47yLOfxdx\n",
       "2fa7UIVrroHp0+Gww6BfP2LTddkjshvYgxARzcSfyznngurdG9q3h113hW+/hUMOiX9NRNAdL27J\n",
       "CJ74nHMuS4wZY3N5BQXw4YfQuvWWX8+WxOdDnc45lwV+/RUuu8yS3kMPbZv0solXfM45l+HWroWT\n",
       "T4YpU+Ccc2D4cChXTNnjFZ9zzrm0pwo33GBJr1EjeOed4pNeNsnyH9855zLbs8/Cu+9CtWrwwQew\n",
       "u3c39qFO55zLVJ9/DqedBvn5MGgQXHzxjt/vQ53OOefS1vz5lujy8+H++3ee9LKJV3zOOZdh1q+H\n",
       "U06B776D00+HkSOhQgn6dHnF55xzLu2owm23WdJr0ADee69kSS+beOJzzrkM8sor0LcvVKkCQ4fC\n",
       "nnuGHVH0eOJzzrkM8fXXcPvt9vzVV+G448KNJ6o88TnnXAZYuBAuvBA2bYI774Qrrww7oujyxS3O\n",
       "OZfmNm6EU0+FL7+E5s2tJ2fFiqX/HF/c4pxzLi3cc48lvX33hYEDE0t62cQTn3POpbE334QXXoBK\n",
       "lWwxS+3aYUcUfZ74nHMuTU2cCDfdZM//+U9o0iTceNKFJz7nnEtDS5bABRfAhg1w441w3XUBPuz3\n",
       "36Ft26TFFnW+uMU559JMXh60bAm5uXDSSfZv5coBPvCii2DIEAR8cYtzzrnoad/ekl2dOjBkSMCk\n",
       "N2KEfUi1askKL/I88TnnXBoZMAD69LE2ZO+/D/vsE+DD1qyx/mYA3bsnJb504InPOefSxNSp8bm8\n",
       "p5+Gpk0DfmCXLjBvHhx/fDwBZgFPfM45lwaWLYPzz4d16+Dqq+GWWwJ+4KRJlj3LlbMGn8V1shZ5\n",
       "HZHFiPxQ5NrjiMxEZCoiQxHZrcjXOiLyMyKzEGkVMMKU8cTnnHMRl58Pf/sb/PorNG4ML74IEmQJ\n",
       "Sn4+3HADFBTAHXfYhxbvDeDMra6NBo5A9RhgNtARAJHDgUuBw2Pf809EIpljIhmUc865uAcfhE8+\n",
       "gVq1bJN6lSoBP/D55+H776F+fXjkke2/T3UcsHyra2NQLYi9mgDUiz0/DxiA6iZU5wJzgEjuLPTE\n",
       "55xzETZ0KDz6qI1IDhwI++0X8APnz4fOne35Cy9A9epBPu1a4OPY832ABUW+tgDYN8iHp4ofT+ic\n",
       "cxE1Ywa0a2fPH3/cGlEHdvvttprzggvIrVGD3K5dE/sckQeAjaj238G7Irmh2jewO+dcBK1caS3I\n",
       "Zs+Gyy6D/v0DzusBDBtmK2Rq1ICZM62rdRHFns4g0gAYgepRRa5dDfwdOA3V9bFrHQBQfSz2ehTQ\n",
       "BdUJAaNOOh/qdM65iCkogKuusqR39NHw2mtJSHqrVsW3LPTsuU3SKzGRM4F/AOdtTnpmOHAZIpUQ\n",
       "aQgcBHwbJORU8aFO55yLmO7draFKzZo2x5eUpiqdO8Nvv1kZefPNJfsekQFAc6AWIvOBLtgqzkrA\n",
       "mFg2/hrVW1CdgcggYAaQB9xCRIfefKjTOeci5KOPoHVre/7xx3Dm1psJEvHdd3DiibZC5vvv4Zhj\n",
       "in1bthxE6xWfc85FxM8/w5VXgir06JGkpJeXZ3v2VO3E2u0kvWziFZ9zzkXAmjVWlM2YYccNDR6c\n",
       "hHk9gCefhPvug/33h+nTdzhumi0Vnyc+55wLmSpccoklu8MOgwkTbOFlYHPnwhFHwNq1Nm561lk7\n",
       "fHu2JD5f1emccyHr3duS3q67wgcfJCnpqcKtt1rSu+SSnSa9bBLJxCdCfRHGijBdhB9FuCN2fQ8R\n",
       "xogwW4TRIuwedqzOORfEmDHQqZM9f/ttOOSQJH3w4MFW5e22GzzzTJI+NDNEMvEBm4C7VTkCOAm4\n",
       "VYTDgA7AGFUOBv4de+2cc2np119tc3pBATz0UHw1Z2ArV1rzaYBevezEWrdZJBOfKotUmRJ7vgaY\n",
       "ifV8aw30i72tH9AmnAidcy6YtWuticqyZXDOOXY0XtJ07AiLFsFf/gJ//3sSPzgzRH5xiwgNgM+B\n",
       "I4F5qtSMXRdgWeHrLb/HF7c456JL1TqzvPsuNGpk2+x2T9bEzddfw8knQ/nyMHkyHHlkib81Wxa3\n",
       "RHofnwjVgSHAnaqsLrq0VxUV2X4D1K5FGq/m5OSQk5OTsjidc640nn3Wkl61araYJWlJb9Om+J69\n",
       "f/yjVEkvm0S24hOhIvARMFKVp2PXZgE5qiwSoS4wVpVDt/1er/icc9GUmwunn25nwQ4aBBdfnMQP\n",
       "79ULOnSAAw6AH3+EXXYp1bdnS8UXyTm+2DBmX2BGYdKLGQ7EDumgHTCsrGNzzrlETZ9u83r5+XD/\n",
       "/UlOev/5D3TrZs9feqnUSS+bRLLiE6Ep8AUwjfh5Th2xTt+DgP2AucAlqqzY9vu94nPORcv8+bbW\n",
       "ZMECaNPGdhuUL5+kD1e1fXqffAJXXAHvvJPQx2RLxRfJxBeUJz7nXJQsXw5Nm1o7sqZNYfToJBdk\n",
       "AwbA3/5mxznMmgV7753Qx2RL4ovkUKdzzmWKdetsf96MGdY9bPjwJCe9Zcvgrrvs+eOPJ5z0sokn\n",
       "PuecS5G8PLj8chg/HurVg5EjrShLqg4d4I8/4JRT4Nprk/zhmcmHOp1zLgVU4aab4JVXbLvC+PFW\n",
       "8SXVuHGW8CpWhKlTrcN1AD7U6ZxzLmEPP2xJr0oVO1w26Ulv40a48UZ73rFj4KSXTTzxOedckr3y\n",
       "CnTtageev/eeNVJJut69YeZMOPhgS3yuxHyo0znnkmjYMLjwQms8/fLL1kgl6X7+GY46CjZsgM8+\n",
       "gxYtkvKxPtTpnHOuVMaPt8UsBQVW8aUk6RVOHm7YAO3aJS3pZROv+JxzLgmmT7c9eitWWMJ76SWQ\n",
       "VNROb78NbdvCnnvanr1atZL20ZGp+ETKAQ2BPbAmJouBxahuTMrHZ2KC8MTnnCtLKe3KUtTSpbaI\n",
       "ZelSePNNq/iSKNTEJ7I7cDVwAXACdojCciAfS4DlsW5ew4C+qP6W6K18qNM55wJYvhzOPNOSXtOm\n",
       "0L9/ipIeWIPPpUtteLNt2xTdpIyJCCL/AMYBtYGe2PmrlVDdG9W6qFYG9gTuwxLgx4g8iUhCrQC8\n",
       "4nPOuQStWwetWsX36I0bl4IN6oVycy3hVa4M06bZas4k26biE3kdOAf4A9WjYtf2AAYC+xPrmYzq\n",
       "itjXOgLXYlXaHaiO3skNdwFeBz4F3kJ1UwkDLQdcBFwB3ITqwhL+iIBXfM45l5Ay6cpSaMOG+J69\n",
       "Bx5ISdLbjjeAM7e61gEYg+rBwL9jr0HkcOBS4PDY9/wzlqB25D6gE6p9S5z0AFQLUB0EXA+0L/H3\n",
       "xXjic865UlKFW2+FDz+0ZPfJJ1C/fgpv+OijMHu2ze/df38Kb7QV1XHYPFtRrYF+sef9gDax5+cB\n",
       "A1DdhOpcYA7QZCef/wiqvwaIbwmqd5X22zzxOedcKRXtyjJiBBx+eApvNmuWJT6wjYGVK6fwZiVS\n",
       "G9XFseeLsXk5gH2ABUXetwCbq4ucCmEH4Jxz6aRMurIUUrUhzo0b4frroVmzpH58bm4uubm5iX+A\n",
       "qiKyowUVkVxs4YtbnHOuhMqkK0tRr78O111nRw3NnAl77JHS2xW7nUGkATCiyOKWWUAOqosQqQuM\n",
       "RfVQRGyuT/Wx2PtGAV1QnZDSoBPgQ53OOVcCZdKVpag//oD77rPnTz2V8qRXCsOBwg2E7bB9dYXX\n",
       "L0OkEiINgYOAb0OIb6d8qNM553Zi+nQ491xYv95GHh96qAxueu+9tkmwVSvLuGEQGQA0B2ohMh94\n",
       "CHgMGITIdRRuZwBQnYHIIGAGkAfcQkSH3nyo0znndqDMurIU9emn0LKlrZ758Uc48MAU39BEpmVZ\n",
       "ivlQp3PObUeZdmUptG6dNaEGKy3LKOmVKZHyiLRD5EZEqseunY3IR4h0R6RiSm8fpDISodhGoqok\n",
       "pZFo4nF5xeecC6ZMu7IU1bkz9OgBRx4JkybZ6eplpMwqPpHngGZY8VUeuAV4AZgKNACmonpLqm5f\n",
       "6jk+EXbaSFQk3khUlYQbiTrnXBjKtCtLUdOnQ69e9vzll8s06ZWxBageC4DI/sDDwDGo5seu9Ujl\n",
       "zUs81CmCiFBsI1FV9lalrirbNBIV4UkREmok6pxzZa3Mu7IUKiiwlTN5eTbU+Ze/lMFNQ7MAkQMA\n",
       "UP0v8O7mpGdK1XuztEqU+GKJqz+wDDhelY6qjFJlmeqWGxRVWanKZ6p0AY4DJgDviVA32cE751yy\n",
       "lWlXlqJeew2+/BLq1Il3aslcfwKzETkGYHMza5HpiDyLrQpNmRLN8YnwIPCOKgn1VBNhL+ABVUrd\n",
       "Uy2x+/kcn3Ou9F55xYqucuVg6FA477wyuvGiRdaHc8UKGDgQLrmkjG68pTJd1SmyG6ort7p2FpC/\n",
       "01Mdgt46ExOEJz7nXGmVeVeWoi6/3PqfnX02fPRRio5u37lIb2cQaYTqnGR8lG9ncM5lvTLvylLU\n",
       "qFGW9KpWhRdeCC3ppYGjEemFSOD9HZ74nHNZLZSuLIXWroWbb7bn3bpBgwZlePMIE7kckSWxx/uI\n",
       "XIi1ROsAXBf44zNxSNCHOp1zJRFKV5ai2reH3r3hmGPgu+9C374QmaFOkSHAm8CuQAvszL88YChQ\n",
       "H9VzA318JiYIT3zOuZ1Zvty6scyYYf+OHg27lOXGq2nT4PjjbXz1m2+gyY7PbC0LEUp8HTaf8mCv\n",
       "K2EH4DYDBqL6VZCP9ybVzrmss24dtG5tSe+II2D48DJOevn5NpGYnw+33RaJpBcx5RCpgKpta1Dd\n",
       "CAyOPZLw4c45l0VC68pS1Msvw4QJsM8+1p7Mbe1loBsiu6fiw3c61CnC34CTgZlYC7J1IjQCTgf+\n",
       "UGVoKgILwoc6nXPFUbWmKK+8Yslu/Pgy3KBe6Pffbc/eqlUwZAhccEEZB7B9ERrqvBZ4GigAPgc+\n",
       "Az5D9YekfPyOEoQIXYBrscME62G9OM9QZa4I+wLzVaNXNXric84Vp1s3265QpYqd/HPyyWUcQH6+\n",
       "LSEdOdLGWocNi9T2hQglvg+AN4DdsHm9FsCBwFLgHVTvCfLxO5vjOww4RJX1FgvHAs+IcBuwKciN\n",
       "nXOuLL3yiiW9cuVs21yZJz2ALl0s6e25Jzz/fKSSXsR8ierw2PO3ARCphyXAA4J++M6qtQmFSQ9A\n",
       "lSnAZcBN2HFEKSPC6yIsFuGHIte6irBAhMmxx5mpjME5lxmGDYtvl3vxxTJsRVbU4ME2n1e+vLUl\n",
       "K5PO12mrHCKVt7iiugDVt1HtFvzDd+y/IlwrwnwRjrR7s06VB4BjsPHXVHkDtklsCvRR5bjYY1QK\n",
       "7++cywChdmUpNG0atGtnz594Ak47LYQg0sprQA9EdkvFh+8w8cUWrnwO3Ab8tNXXXgJyUhFU7PPH\n",
       "Yef8bc3HBpxzJRJqV5ZCy5bZ7vi1a+Gqq+DOO0MIIu10A+4BfkFkQOyk9oOT9eE7XZiiyi+qfKi6\n",
       "7ZyeKuO3vhZb8ZlKt4swVYS+sUNxnXNuGzNnQsuWduBBmzYhtcHMy4PLLoNff4XGjW0bg8/rlUQl\n",
       "4GjgLmAt0B6YhchviPQO+uGpWJF5tAi9RAjcSLQYL2Jzi8diBxU+mYJ7OOfS3NSp0Lw5LFwILVpA\n",
       "//5l3IqsUMeOMGYM7LUXfPBBGe+ST2vTsb/z/0L1OlQPwP72dwY2BP3wQC3LRLgceDb2Mhd4D/gQ\n",
       "yAd6qNIpUHBCA2CEKkeV7muiXbp02fw6JyeHnJycIKE459LExInQqpW1JDvzTDtXL5R8078/XHEF\n",
       "VKgA//43nHJKCEGUTmS2MwCIHAY0QbVf0j86YOLbYSNRVYI1Et0quYlQV9WOpBfhbuAEVf627ff5\n",
       "Pj7nstGXX9qRdqtW2crNgQOhcuWdf1/STZpk+yXWr7cx1ltuCSGI0otU4kuhoEOd36kyQpV3Vbke\n",
       "2Ac27/F7NMgHizAA+Ao4JLaq9FqglwjTRJgKNAfuDhi/cy5DfPaZVXqrVtkB5u+/H1LS++MPm1Rc\n",
       "vx6uvz6+jyJdiXREZDoiPyDSH5HKiOyByBhEZiMyOuHWYiKdEKkdILZaiDxd6m8LWPF1Anqrkpfw\n",
       "h6SAV3zOZZeRI63z1/r1tmugb9+Q5vQ2bbIVNZ9/DiedBLm5IWXfxGxT8Yk0wNqFHYbqBkQGAh8D\n",
       "RwBLUe2NSHugJqodErhhDawv5yjgXVTzSxwoXAhcCdyE6qLS3DZoxfcy0M1XVzrnwvLBBzasuX69\n",
       "9eF8/fWQkh7Avfda0qtb1/pwplHS245V2AheVUQqAFWB37Ejggrn3vph01ylp7oaaIu1w5yEyMOI\n",
       "tCp2/55INUSaI9IFmAycBFxe2qQHwSu+YhuJqpKURqKJx+UVn3PZ4L334MorrQXmXXdBnz4h7hZ4\n",
       "4w249lqoVCle8aWZYuf4RG7AVtCvAz5B9SpElqNac/M3wbLNrxO/+e7ANcDZWH9OBVbG/q0JlAe+\n",
       "Af6F9etckOitgp7Hdy5WahY2Er0NeErEGomqEqiRqHPObc+bb8J111lHlk6doHv3EJPehAlWboIt\n",
       "ZkmTpJebm0tubu723yByILaXrgGWhN5H5Mot3qOqiASvNFRXAE8BT8UOnq0D7I2NTC4BFqG6LvB9\n",
       "CF7x3afKE1td29xIVJXAPdUSi8srPucy2YsvxhdKPvIIdO4cYjCLFtnm9N9/t6BeeCHEYIIpZo7v\n",
       "UqAlqtfHXl+FDTGeCrRAdREidYGxqB4aQsgJCTrHV06ELQaxVVmgytthJT3nXGZ76ql40nviiZCT\n",
       "3oYNcOGFlvSaNbPgMsss4CREdokNaZ4OzABGALHmo7QDhoUUX0KCVnx7AJ2AR1RZmbSoAvKKz7nM\n",
       "1KNHPNFFYnvcjTfaeUf16tnO+dqJr8yPgu3M8d2PJbcCYBJwPVADGATsB8wFLokNVaaFoInvOeBW\n",
       "YBkwBuveMlaV2UmJLuG4PPE5l0lULeH17GnzeH37wjXXhBzUyy/bvF6VKnYEROPGIQcUnG9gL5li\n",
       "G4mK8JsIgRuJOuecqu0S6NnTtim8+24Ekt748XD77fb8lVcyIullk6CrOjc3ElXlHQAR9scmPgOf\n",
       "kuucy24FBXDbbbaYpWJFa0F2/vkhB7VgAVx0kW1Wv/tuO2rIpZVAQ50AIhwGNFEl6Y1EE+VDnc6l\n",
       "v/x86/j15pu2D3zoUOvDGar1663Z9HffwamnwiefWBPqDJEtQ52BE18UeeJzLr1t2mSF1MCBULUq\n",
       "DB8egUPLVW2MtV8/aNDAkl+tWiEHlVyRSnwilYFaWGu0wEcRFVWiOT4ROomQ8HIlEWqJUOpGos65\n",
       "7LNhgzWZHjgQatSwoir0pAfw3HOW9HbZBYYNy7ikFxkijREZC6wB5gEnx67XRuQzRE4PeouSLm55\n",
       "DuvI0laEEnfBE0FEuAh4DXgskQCdc9lj3To72GDYMKhZ046xa9o07KiAsWPhnlgjqjfegGOOCTee\n",
       "TCVyLPAFtkbkLSBefaouBnYhvn8wYSVKfKps0UhUhIdFaCXCNo1ERagmQnMRtmgkqkqpG4k657LH\n",
       "mjVwzjkwapQVU2PHwgknhB0VMHcuXHyxTTq2bw+XXhp2RJnsYWAhcCS2S2Br/waaBL1JibczqJKn\n",
       "ytPYOXjLgX8Ai0VYJ8IiERaKsB5YAXTHjof/qyr3qZKU/mrOucy0ciWccYYlu7p1rcdzJIqqtWtt\n",
       "Gen//mfHuffoEXZEma4Z8Grs1IbizAP2DXqTUi9HUmVzI1ERim0k6onOOVdSy5ZZ0ps4EerXtwNl\n",
       "GzUKOypsMcv118OUKRZQ//4hnneUNapgxdP27JqMmwRah6vKRiwDz0tGMM657PLHH3Zu67RpcMAB\n",
       "NqfXoEHYUcU8+SQMGADVq8cnHV2q/QfYUTeAFliv0ECCdm5xzrmE/P47NG9uSe+QQ+CLLyKU9EaP\n",
       "tvk8gLfegiOOCDee7PEu0BaRltg5fEZEELkXOAt4O+hNfB+fc67M/fe/tkXhl1/gqKNgzJgI9Xf+\n",
       "5RdbVbN8OTz0EHTLnoNmQt/HZ3v3RmFrSWYChwHTsOm0OsBo4BxU8wPdJhMThCc+56JrzhxLevPm\n",
       "WYvLTz6BPfcMO6qYNWvsENnp0+Hcc22Is1z2DIyFnvgsiIrYoeZXYolPgNnY9oZnUM0LfItMTBCe\n",
       "+JyLppkzLektXAh/+Qt8/DHsts2mqJCoWg/OoUPh0EPtVPVdk7KWIm1EIvGVgez5TxnnXKimTrU5\n",
       "vYULISfHKr3IJD2w4x+GDrVkN2xY1iW9bOKJzzmXchMnQosWsGSJbV34+GNbLBkZH30EDz5oh/31\n",
       "72+rbVw4RK5A5CtEliBSUOSRv/nfgDKnrbhzLpK+/NJOVVi1Cs47z3pwVq4cdlRF/PQTXHGFDXX2\n",
       "6GHtY1w4RDpj3VsWAV9hzVK2FngeK+gJ7Cdg7WNqUkz1qMrDiYeWOJ/jcy4aPvvM1oisXWuNp995\n",
       "x87Vi4yVK+HEEy35XXQRDBpkVV+WCn2OT+R3YBZwBqqbUnWbhCo+EXYBPgBa7eStoSQ+51z4Ro6E\n",
       "Cy6wI+zatYO+fSPW+KSgAK680pLekUda8+ksTnoRsSswMJVJDxKf43sIaIn15GwRu3Y1cDbWWXsi\n",
       "cHjQ4Jxz6WnYMBvWXL8ebroJXn89YkkPoGtXm9urWdMCjtSkY9aaAuyX6pskNNQpws/AJFUuFaEW\n",
       "8AdwuiqfiVABS3yjVOmQ3HBLGp8PdToXloEDbcosPx/uugv69IlgITV0KFx4oe3RGzkSWu1s8Co7\n",
       "RGCoMwcYArREdVKqbpPo4pb6QJ/Y88IVNpXATnEQoT9wM4ST+Jxz4XjzTbjuOhtF7NQJunePYNL7\n",
       "8Udo29ae9+rlSS9KVHMRuRmYgMjXwK/Ec0zR910b5DaJJr7VRb53NVAA7FPk66uAugHics6lmRdf\n",
       "hFtuseePPAKdO4cbT7GWL7eTbv/8E/72N7j33rAjckWJnAz0BcoDTWOP4gRKfInO8f0HOBiswsO6\n",
       "ZV8MIEI54HxgfpDAnHPpIS/P8kdh0nviiYgmvfx8uPxy68V53HHw6qsRLEcjSGR3RAYjMhORGYic\n",
       "iMgeiIxBZDYioxHZPUl36wOsA84D9kS1XLGPgBL9gDHARSIUTle/BJwhwi/Az9jCl75Bg3PORdvy\n",
       "5bbtrU8fqFDBcklki6hOnaxdTK1a8MEHULVq2BGli2eAj1E9DDga227QARiD6sHYqejJmtY6CngS\n",
       "1RGoFreHLykSXdxSHagH/KLKpti1e4CrgDxgMPC4KgVJjLUU8fniFudSbcYMW7k5Zw7stRcMGQLN\n",
       "moUd1Xa8955Ve+XLw6efWs80t41tFreI7AZMRvWArd44C2iO6mJE6gC5qB6ahADmAk+j+nTgz9rR\n",
       "bTIxQXjicy61RoywlZurV9uo4bBhsF/KF6EnaMoU64i9bh08+yzcfnvYEUVWMYnvWOBlbDrrGOB7\n",
       "4C5gAao1N38TLNv8OlgAnYE2wEnJOIVhewK3LBOhMlALWKrKhuAhOeeiShUefdTm8FTh0kttj15k\n",
       "Rw2XLrXFLOvWwdVXw223hR1RpOTm5pKbm7ujt1QAjgduQ/U7RJ5m62FNVUUkWZXGV0Br4BtEXsTW\n",
       "kxS3qvOLIDdJuOIToTHwBLbqphzQMraPrzYwAOipyqdBgkuUV3zOJd+ff8K118a7evXoAR06RHh9\n",
       "yOrV1iR0/Hg7WPaLL6BKlbCjirRiKr46wNeoNoy9bgp0BA4AWqC6CJG6wNgkDXWWZHpMUQ3UDiHR\n",
       "lmXHYh1almKHA16zOSJlcaylWTtIPPGJ8DpwDvCHKkfFru0BDAT2B+YCl6iyItF7OOdKZt48m8+b\n",
       "MgVq1IB337UenJG1dCmcdZYdC7HPPrZh3ZNe6Vlim4/IwajOBk4Hpsce7YBesX+HJemOgbYplFSi\n",
       "i1uGYy3JjgMqU6RzS+zr3YGLVUn4bA8RmgFrgLeKJL7e2JBqbxHaAzWL6w7jFZ9zyfPFF9a/eckS\n",
       "aNQIPvwQDo9yQ8LffoOWLe3U24YNbTHLAQfs/Ptc8Z1bRI4BXsOalPyCFTrlgUFYe7G5wCWopk0R\n",
       "kugcXzNPnMeBAAAYKUlEQVTgMVVWx+b4tjYP2DfxsECVcSI02Opya6B57Hk/IBfvDuNcyrz0kq0F\n",
       "ycuzBifvvWetLSNrzhxLenPnwhFHwOjRVvG5xKlOBU4o5iunl3UoyZLoPr4qsMMhxlQdXVxblcWx\n",
       "54uB2im6j3NZbeNGuPlmexRuUP/XvyKe9KZNg6ZNLek1aQKff+5JzxUr0YrvP0DjHXy9Bbb8NWVU\n",
       "UZHgBxI657a0ZIkNbX7xhR0Y+8or8daWkfX117aQZcUKOO00P20hXYmMZccHzQq2uOXUILdJNPG9\n",
       "CzwkwvvA5g7aIghwD3AWcGeQwLZjsQh1VFkkQl1sbrFYXbt23fw8JyeHHN+w6txOTZlii1jmzYO6\n",
       "dS1/NGkSdlQ7MWaMbVlYu9b+HTDAF7Kkr4ZY4is6z1gB6/0s2ILKP4PeJNHFLZWBUdh820zgMGAa\n",
       "sDdQBxgNnKNazP6L0t2nATBiq8Ut/1OllwgdgN19cYtzyfH++7bVbe1aO5R86NA0GCkcMsQ6smza\n",
       "ZKfdvvaa9U5zCQn9WKLtEakC3I2t+myO6u9BPi6hOb7YRvVWwL3A+tjjEGAJ8A/gr0lIegOwzYyH\n",
       "iDBfhGuAx4CWIswGTo29ds4FUFAADz4Il1xiSa9dO8jNTYOk9/rrFvSmTXDnnfbak15mUl2P6qPA\n",
       "BOJH4iWs1BVfbI/eJcAsVSYEDSAVvOJzrmRWrYIrr7QWZOXKwZNPWg6J7Kb0Qn36xLthd+0KDz2U\n",
       "BkFHX2QrvkIiNwGPBm2PlkjFtxF4FdvD55xLU3PmwP/9nyW9mjVh1Cg7MT3S+UPVytPCpPf009Cl\n",
       "S8SDdknUgNih50GUelxAlXwR5pO6LQvOuRQbM8b6bC5fbpvRP/zQNqdHWkGBlaPPP2+nLPTta+Oy\n",
       "LnOIbK/V+R7YcXd3Yvu3g90mwcUtD2LDnSeosj5oEMnmQ53OFU/ViqT77rM80ro1vP027Br1/4zd\n",
       "tMkahb7zDlSqBAMH2gpOl1ShD3XuvFfnT0BrVH8OcptEZ4K/Ai4AJovwIjAbWLv1m1QJ1EHbOZc8\n",
       "69fDTTdBv372unNn6NbN5vYibf16W8QyYgRUq2bl6WmnhR2VS42Hi7mmwDIs6X2KauBzXhOt+ErU\n",
       "QVuVQB20E+UVn3Nb+v13uOACmDDBjhB68024+OKwoyqB1autLM3NtYnIkSNtr4VLidArvjKSaMVX\n",
       "Jh20nXPBTZgA558PCxfaYbEffgjHHht2VCVQ9ISFunWt7+aRR4YdlcsAfgK7cxnsrbfghhtgwwY4\n",
       "5RQYPBj22ivsqErAT1gIRZlXfCLt2HGLsuKpvhXotpmYIDzxuWyXlwft29t2N7C5vWeesXUhkecn\n",
       "LIQmhMSXyHxdOAfRFhLhBKAJUJNi9gSqFjtR6ZxLoeXL4bLLLF9UqADPPWeJLy1Mm2bnHy1ebE1C\n",
       "P/4Y9twz7Khc6gRqNp2oRBe37AJ8gLUt2y7VhI89CsQrPpetZs60tSBz5tiQ5pAh0KxZ2FGVkJ+w\n",
       "ELpsWdySaGJ6CNtM2B07ggjgauBs4AtgInZCu3OujIwYYQse58yxxSvffZdGSW/MGDj9dEt6bdrA\n",
       "Rx950nMpk2jiuwgYrMpDwPTYtQWqjMJO5a2EJULnXIqpQs+edpzQ6tW25W38eNh//7AjK6EhQ+Cc\n",
       "c+Idst9/348VymYi1RF5GJEfEFkTe0xDpBsi1ZJxi0QTX33ibWMKT2GoBKBKHtAfuDRQZM65nfrz\n",
       "T5vPe+ABe92jB7z3nu3zTgt+woIrSmQP4FugM3bM3ZTYow7wIPBd7D2BJJr4VhNfGLMaKACKLrta\n",
       "hR0c6JxLkXnzoGlTGDQIatSw/XmdOqVRv+Y+feC666x3Wteu8NRTadBGxqXYw9gRd7cB+6DaFNWm\n",
       "WH65FTgY6Bb0Jon+r+w/sQAKK7wZwMUAIpQDzgfmBw3OOVe8cePg//0/OzH9wAPhm2/g3HPDjqqE\n",
       "/IQFt32tgb6o/hPV+Jmuqnmovgi8DpwX9CaJJr4xwEUim1uSvQScIcIvwM/Ywpe+QYNzzm1p0yZ4\n",
       "+GE49VRYssS2u337rZ2wkBYKCuCOO6B7dzth4c03bYjTOVMbmLSDr0/Ghj0DSXQw/THgHSxx5qvy\n",
       "TxGqAFcBecArwONBg3POxU2dCldfbVUeWMH02GNpNCXmJyy4nfsDOH4HXz8WWBz0Jt65xbmI27QJ\n",
       "Hn0UHnnEOrI0aGBrQFq02Om3RoefsJAWtruPT6Q8tk1tAarnxhaYDAT2B+YCl6C6IgkBvADchM3n\n",
       "vbL5JAa7//XAC8DLqN4a6DaZmCA88blMsXWVd8st0KtXmm1x8xMW0sYOEt89QGOgBqqtEekNLEW1\n",
       "NyLtgZqodkhCALWwY+8aYdXfT7GvHArshU2lnYzq0iC38SVUzkVQ4Vxe4QKWBg3gs8/ghRfSLOkt\n",
       "XWoTkrm5dsLCF1940ks3IvWw5iSvAYVJsTUQO9mRfkByxqwtoZ0APIqdwdck9lgK9AROCJr0wCs+\n",
       "5yInI6o88BMW0lCxFZ/I+1jS2RW4LzbUuRzVmpu/CZZtfh0sgPJbrOZMkXSZFncu42XEXF4hP2Eh\n",
       "LeTm5pKbm7v9N4j8FfgD1cmI5BT7HlVFJFmVxkJE3gX6oTolSZ+5Da/4nIuAjKnywE9YSGPbVHwi\n",
       "PYmv1q+CVX1DseHIHFQXIVIXGIvqoUkI4GugcCz8B+At4B1UA6/k3OI2mZggPPG5dJFRVR74CQtp\n",
       "boenM4g0Jz7U2Rv4H6q9EOkA7J6UxS12n4OAtsCV2KrRPGzveD9gGKobA98iExOEJz6XDjKqygM7\n",
       "YaFNG2s23aYNDBjgzabTTAkS372xVZ17AIOA/Ujmdoatg4FTsCR4EVADWAG8j+qNgT46ExOEJz4X\n",
       "ZRlX5W3YYEtQe/WC/Hw7YeG119JoZ70rFNnz+ESqYBXgk0D1UE9gd86VTsZVed9/bz/Qjz9ar80O\n",
       "HeyICG827ZLBqr5TsarvAqAats0hEE98zpWBjKvyNm60H+bRR63Ka9QI3njDjotwLiiRw7BkdwVQ\n",
       "D9gEjMTm+T4K/PGZOCToQ50uSjKuyps0yX6gH36wKu/OO63Kq1o17MhcQKEPdYrcjiW8xrErk7CV\n",
       "nf2TsXF9820yMUF44nNRsGmTnYzevXsGVXk9etgPlZdnVd7rr0OzZmFH5pIkAomvAFiEHYLQD9Xp\n",
       "qbiND3U6lwIZV+VNmWI/0NSp8SqvZ0+v8lyynQN8srk5dYp4xedcEmVkldezp1V6eXnWcuyNN+CU\n",
       "U8KOzKVA6BVfGfGKz7kkybgqb+sf6PbbbTFLtWqhhuVcUL7m2LmANm2Cbt0y4CSFQlsfDdGwIYwd\n",
       "C88+60nPZQSv+JwLIOOqvGnT7AeaPNle33qrHfOetj+Qc9vyis+5BGRklffII/YDTZ4c/4Gefz5N\n",
       "fyDnti8tKz4R5gKrgHxgkypNwo3IZZOMq/J++MF+oEmT7PXNN0Pv3mn8Azm3Y2mZ+AAFclSDt65x\n",
       "rqQybsVmXp5l7G7d7Ifbf3/7gU49NezInEupdE18ABm/5NZFR8ZVedOn2w80caK9vukmq/Jq1Ag1\n",
       "LOfKQrrO8SnwqQgTRfh72MG4zLVhQ4bN5eXl2ZaE44+3pLfffvDpp/Dii570XNZI14rvZFUWirAX\n",
       "MEaEWaqMK/qGrl27bn6ek5NDTk5O2Ubo0lpeHrz1liW9efPsWtpXeTNmWJX33Xf2+oYb4PHHYddd\n",
       "Qw3LubKW9p1bROgCrFHlyfg179ziElNQAIMGQZcuMHu2XTv8cFvcmNZzeU88YT/Uxo1Qvz707Qst\n",
       "W4YdmYuYbOncknZDnSJUFaFG7Hk1oBXwQ7hRuXSnCh9+CMceC5dfbknvwAPhnXdsa1vaJr0ZM+Dk\n",
       "k6FjR0t6f/+7nZ3nSc9lsXQc6qwNfCD23yQVgHdVGR1qRC5tqcKYMdC5c3wEsH59eOghO0i8YsVw\n",
       "40tYfj48+aT9IBs2QL16dir6GWeEHZlzoUv7oc7i+FCnK4nx4+GBB+CLL+z13nvb6xtugCpVwo0t\n",
       "kFmzbC5vwgR7fd11lgR32y3UsFz0ZctQZzpWfM4FMnEiPPggjBplr2vWhPvvtx7Mad2KMj8f+vSx\n",
       "H27DBth3X3j1VTjrrLAjcy5SPPG5rPHjjzby98EH9rp6dbjnHnukfTH0009wzTXw9df2+pprLAnu\n",
       "vnu4cTkXQZ74XMabM8cWNA4YYHN6u+wCt91mVV6tWmFHF1B+Pjz9tE1Srl8P++xjVd7ZZ4cdmXOR\n",
       "5YnPZax586zv8htvWH6oWNHm7x54AOrWDTu6JJg92yq7r76y11dfDU895VWeczuRdtsZnNuZRYvg\n",
       "zjvhoINsIaMqXHut5Ynnn8+ApLdhgw1jHnOMJb26deGjjyzDe9JzySRSH5GxiExH5EdE7ohd3wOR\n",
       "MYjMRmQ0Imn1Pzxf1ekyxrJl1m7yuedg7Vq7dtll1n3l4IPDjS0p/vc/ay32/POweLFda9vWhjpr\n",
       "1gw3NpcRtlnVKVIHqIPqFESqA98DbYBrgKWo9kakPVAT1Q6hBJ0AT3wu7a1aZX/7n3zSngOcd54d\n",
       "In700eHGlhSzZ9sP+OabsG6dXTv6aOjRA/7611BDc5llp9sZRIYBz8cezVFdHEuOuageWkZhBuZz\n",
       "fC5trV1rzaJ79bJiCKwhSffu0CTdT2hUhXHjLJuPGGGvwbYm3HMPnHYaSMZvt3JRItIAOA6YANRG\n",
       "NTbswGKssUja8MTn0s6GDbZwsUcPm88D68rVowc0bx5ubIFt2gSDB9scXuGRQZUqwVVXwd13wxFH\n",
       "hBufyyi5ubnk5ubu/I02zDkEuBPV1Vv8R5eqIpJWQ2w+1OnSRnEnJjRubBXeGWekeQG0cqWtxHnm\n",
       "GZg/367VqmVHQtxyC9ROq/+gdmmq2KFOkYrAR8BIVJ+OXZsF5KC6CJG6wFgf6nQuiYo7MeGII2yr\n",
       "Qps2aZ7w/vtfS3avvQarV9u1gw+24cy2bW3ToXNhERGgLzBjc9Izw4F2QK/Yv8NCiC5hXvG5yFKF\n",
       "4cOtA9cPsfM3DjzQKr7LLoPy5cONL5DvvrP5u8GDbZMhQE6OJbxzzoFyvtPIlb1iVnU2Bb4ApmEH\n",
       "gAN0BL4FBgH7AXOBS1BdUabBBuCJz0VORp+YMGKEJbzx4+1a+fJw6aWW8Bo3Djc+l/W8SbVzIdj6\n",
       "xITataFTpzQ/MeHPP6FfP+uqMmeOXdt1V7jxRuuMXb9+uPE5l2U88bnQLV9uc3j9+sV7LNesCe3b\n",
       "W0/NtD0xYeFC22z+0ku2ux5g//3hrrvsqKAaNcKNz7ks5YnPhSIvDz75xJLd8OG2RQEsF9x9d5qf\n",
       "mDBtmm1H6N/fticAnHgi3HsvnH8+VPD/t3MuTP7/ga5MTZtmye7dd+Ndt0Tg9NNtEeMFF6RphacK\n",
       "o0fb/N2YMXZNxH6ge+6Bv/wlzZefOpc5PPG5lFu82Iqffv1g6tT49UMOscUqV16ZxtNcGzZYFu/T\n",
       "B6ZPt2tVq1pX7LvusmWozrlI8cTnUmLDBlvA2K8fjBwZX7Ffs6ZtRWjXztqKpW0RVFzD6Lp14Y47\n",
       "bCXOHnuEG59zbrs88bmkUYUJEyzZDRxoi1bAprTOPdeS3V//CpUrhxtnILNn2+rMfv22bBh9772W\n",
       "0StVCjc+59xOeeJzgc2fD2+/be3Efvopfv244yzZXX457L13ePEF5g2jncsonvhcQtasgaFDrfAZ\n",
       "OzaeC2rXtjm7du3gqKPCjTGQggKbkBw9Gt5/H77/3q57w2jn0p4nPldiBQXw+eeW7AYPtn3ZYEOX\n",
       "bdrYqsxWrdJ4tf5vv9mKzNGj4dNPYcmS+Ne8YbRzGSNd/0S5MvTzz5bs3n47fioC2Ar9du3gkktg\n",
       "993Diy9hf/5pmbww2c2YseXX69WzTN6qFbRu7Q2jncsQnvhcsVassAUqRbupgDUeadvWRvsOOii8\n",
       "+BJSUACTJ1uSGz0avvwyvsEcbANhixZ2mm2rVrbfwufunMs4nvjcZoXdVN56Cz78MN5NpXp1uOgi\n",
       "q+5OOSXNDg6YP3/L4cvCo9rBklqTJvFEd9JJvirTuSzgic9lVjeVNWsgN9cS3ZgxMGvWll/ff39L\n",
       "ci1b2mpM32/nXNbxxJeFVK0QKlyVOWVK/Gtp100lPx8mTYoPX3799ZbDlzVq2PBl4Vxdo0Y+fOlc\n",
       "lvPElwXWr7fc8PXX8cfvv8e/nnbdVP7733hF9+mn8Z3yYOOwJ50Ur+pOPDGND/BzzqWCJ74MU1jN\n",
       "FU1ykydvWQSBrcJs3twWqUS+m8qqVfHhy9GjbZlpUQ0bxiu6Fi0skzvn3HZ44ktzO6vmwCq4I4+E\n",
       "//u/+OPggyO8SCUvDyZOjC9K+eYbu1Zo111tfq5wUYo3gnbOlYInvjRSmmrupJPiSa5Jkwifbbdi\n",
       "hZ1K/ssv9u+kSfDZZ3a9UPnytmmwsKo74YQ03iXvnAub//WIsIyo5lStA0phYit8FL4uur2gqEaN\n",
       "4vN0LVpEOHM759KNJ76IKGk1V7OmVXOFFV0kqrmCAli4sPjENmcOrF69/e+tWtWGKhs1sschh8Cp\n",
       "p9q8nXPOpYAnvpCsX299j7/+2qawIl/N5eVZZi4usf3yi/1A27PbbvHE1qjRlomuTp00WEbqnMsk\n",
       "aZn4RDgTeBooD7ymSq+QQ9qhtKnmNmyAuXOLT26//rrlApOt7bVX8YmtUSPbJO7Jzbn0JLLF31tU\n",
       "I/33tiREC8+TSRMilAd+Ak4HfgO+Ay5XZWb8PaKp+rlUrbfx//4Hy5bZvzt7LF0KK1du83NwxBEp\n",
       "ruYKChg3ahTNjj3WtgSsXr3lY9GiLYcn58+3Ycvt2Xff4pPbgQfaSsuIy83NJScnJ+wwIsF/F3H+\n",
       "u4gTEVRVilwo9u8tqjOL/4T0kI4VXxNgjipzAUR4DzgPKPX/IfLybO9zSZJX4WPZsngPy9IocTW3\n",
       "ceOWyam4hFXS62vW0Kw0QZYrZ3NrxVVtDRvafFwa8z9wcf67iPPfxQ41AeagOhcAkYT/3kZJOia+\n",
       "fYH5RV4vAE7c+k1juk9g1YoCVq0oYPXKrR6rlDWrClj7ZwHl2PYh6ObnlShgXwqoX+TrlSoou1Yv\n",
       "oEa1AqpXjf9b+KhWVam2S8HmR9UqBVSVdcia1TBvNfy4CvpsJ2Ft3JjUX9bGihWptOee1rqrRg2r\n",
       "zAqf16q1ZdXWoIE3aXbOFVWiv7fpJh0TX4nGMFs+eFLqIsgDVsQeyVa+/JbJqeijuOs7em+1avR8\n",
       "5BG6du2agkCdc1kgvebCSigd5/hOArqqcmbsdUegoOgCFxFJrx/KOeciYqs5vpOArqieGXvdEShI\n",
       "9wUu6Zj4KmCTracBvwPfstXiFuecc0kgUuzfW1/cUsZUyRPhNuATbHltX096zjmXAqp5iGzx9zbd\n",
       "kx6kYcXnnHPOBRGVjo5JISJnisgsEflZRNqHHU+YROR1EVksIj+EHUuYRKS+iIwVkeki8qOI3BF2\n",
       "TGERkSoiMkFEpojIDBF5NOyYwiYi5UVksoiMCDuWMInIXBGZFvtdfBt2PKmWMRWfbGejpWZAWZ4I\n",
       "EWkGrAHeUtWjwo4nLCJSB6ijqlNEpDrwPdAmi/93UVVV14rN3YwH7lPV8WHHFRYRuQdoDNRQ1dZh\n",
       "xxMWEfkVaKyqy8KOpSxkUsUX29iuc1V1E2ze2J6VVHUcsHynb8xwqrpIVafEnq/BNt7uE25U4VHV\n",
       "tbGnlbA5m6z4Q1ccEakHnA28BnhPvSz6HWRS4ituo+W+IcXiIkhEGgDHARPCjSQ8IlJORKYAi4Gx\n",
       "qjoj7JhC9BTwD2AHffqyhgKfishEEfl72MGkWiYlvswYs3UpERvmHAzcGav8spKqFqjqsUA94BQR\n",
       "yQk5pFCIyF+BP1R1MllU6ezAyap6HHAWcGtsqiRjZVLi+w2oX+R1fazqc1lORCoCQ4B3VHVY2PFE\n",
       "gaquBP4F/L+wYwnJX4DWsbmtAcCpIvJWyDGFRlUXxv5dAnyATR1lrExKfBOBg0SkgYhUAi4Fhocc\n",
       "kwuZiAjQF5ihqk+HHU+YRKSWiOwee74L0BKYHG5U4VDVTqpaX1UbApcBn6lq27DjCoOIVBWRGrHn\n",
       "1YBWQEavBs+YxKeqebB5Y/sMYGC2rtwDEJEBwFfAwSIyX0SuCTumkJwMXAm0iC3Vnix2vlg2qgt8\n",
       "FpvjmwCMUNV/hxxTVGTzVEltYFyR/118pKqjQ44ppTJmO4NzzjlXEhlT8TnnnHMl4YnPOedcVvHE\n",
       "55xzLqt44nPOOZdVPPE555zLKp74nHPOZRVPfM4557KKJz7nnHNZ5f8DxpSdUZ4HZkMAAAAASUVO\n",
       "RK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc56cbe0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# twin axes example\n",
    "fig, ax1 = plt.subplots()\n",
    "\n",
    "ax1.plot(x, x**2, lw=2, color=\"blue\")\n",
    "ax1.set_ylabel(r\"area $(m^2)$\", fontsize=18, color=\"blue\")\n",
    "for label in ax1.get_yticklabels():\n",
    "    label.set_color(\"blue\")\n",
    "    \n",
    "ax2 = ax1.twinx()\n",
    "ax2.plot(x, x**3, lw=2, color=\"red\")\n",
    "ax2.set_ylabel(r\"volume $(m^3)$\", fontsize=18, color=\"red\")\n",
    "for label in ax2.get_yticklabels():\n",
    "    label.set_color(\"red\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAsgAAADSCAYAAABXeTaiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xl8nGW5//HPlbTp3oQ2pQtdUtkqqKwCP5fTHKUNgqce\n",
       "Xrj/0IIe0d/BBU7FWlEsIiIey6nbUUCWHhVQDrZEpaYRSS2CQKGttQu00JQutDSke9qmyVy/P55n\n",
       "0sl0kplktkzyfb9e8+rMM8/z3Pckd6bX3HM9123ujoiIiIiIBIry3QERERERkZ5EAbKIiIiISAwF\n",
       "yCIiIiIiMRQgi4iIiIjEUIAsIiIiIhJDAbKIiIiISAwFyCIi0qeYWb2ZvTff/RCRnksBcoEws7lm\n",
       "9ou4bXVm9ul89UkkVqIxKtJDeXgTyRgzO93MVprZPjNrNbMbw+2VZrYlZr+kH9D0fpp//fLdAUlL\n",
       "Wm/wZlbk7pFMdUZEpK8wMwNwrbYlx3wFeNzdz06yXyof0Lo9rsxsLnCyu3+iu+cQzSBnlZnNNrOt\n",
       "4afJ9Wb2HjMrMrOvmdnGcPtyMzsp3P8HZvaqme0Nt78r3H4JMAf4iJntDz+hfht4N/DjcNsPw32n\n",
       "mFmtmb0RtvmhmP7cb2Y/NbPHzOwAUJnrn4n0DgnG9qW0H6Mrwv1KzeweM9se7n+LmRWFz11lZn81\n",
       "sx+Z2R4zW2dm78nn65I+5QIzW2NmjWZ2r5kNMLMTzOz3ZvZ6uP130fdnaPvW7ttm9lfgIDA5f92X\n",
       "HmgSsDZD57IMnUe6SQFylpjZ6cC1wPnuPhyYDtQDs4CPAu8Lt18NHAoPexY4CzgBeAB42MxK3P2P\n",
       "wHeAh9x9mLuf7e5fB5YB14bbvmhmQ4Ba4JfAqLCd/zazN8d07WPALe4+FPhrFn8E0kt1MLbX036M\n",
       "nhPufj/QDJwMnBPu+28xp7sA2AiMBL4J/NbMTsjF65A+zYCPE4zHk4HTgK+H2+8BJoa3Q8CP4469\n",
       "kmAMDwVezVF/pYczsz8TTDpFJ61+ZWa3pHFKBwaa2UPhRMTzZva2mPbGmdkj4Ye5V8zsC+H2+Am1\n",
       "FWGKx+qYY2vN7NmYx8vMbEZn5w2fMzP7ajjB12Bmv46+X5tZhZlFzOyTZrbZzHaZ2dfSeP15pwA5\n",
       "e1qBAcCZZtbf3V9191eATwM3uvsGAHdf7e6N4f1fuftud4+4+x3h8aeH5zMSf6KM3fZ+YJO7LwjP\n",
       "sRL4LfChmH0WufvTYXtHMvdypQ/paGy3G6NmNhp4H3C9ux9y913AfIIPblGvu/sP3L3V3X8DvAhc\n",
       "lrNXIn2VAz92923uvhu4FfiYuze6+0J3P+zuBwg+9E2NO+5+d18Xvse25KHv0gO5+3uImbQimBhI\n",
       "J/3GgA8Av+HYpNkiMysOv4X7HbACGAe8F7jOzKYnmFA7B3gGOMXMRphZf+BtwFgzG2Jmg4DzgGWd\n",
       "nTfs0xeBGcA/AWOB3cBP4vr9ToIPnO8FbjKzKWn8DPJKAXKWuPtG4DpgLrDTzB40s3HABODlRMeY\n",
       "2ZfNbG34dfNuoBQoT9ZUzP1JwIVmtjt6I5glGR2z75b4E4h0RQdje2yCXScB/YHXYsbjzwi+3Yja\n",
       "FnfMZoI3ZpFsi30vfBUYZ2aDzOxOCy6i2gssBUrNzDo4TqQz6aZJLHf337p7K3AHMBD4P8DbgXJ3\n",
       "/7a7t7j7JuDnHJt8aDdZ4e6HgOcIPuydB6wk+Ab5XcBFwIbwg2Ky834O+Lq7b3f3o8DNwAejaXOh\n",
       "m939iLv/HVhF8K14QdJFelnk7g8CD5rZMOBO4HaCN9dTiMtTMrN3AzcA73H3NeG2Ro4N8kSfROO3\n",
       "vQosdffpCfYVyZgOxvbGuN22AEeAkZ1cDHpS3ONJwKOZ7KtIBybG3d9OkAJ3GnCBu79uZmcDLxC8\n",
       "D0ffb3VRnuTK1ugdd3cz20owgeAEH+h2x+xbDPylk3MtJUgB2Rre300QMB8B6sJ9JiU57yRgoZnF\n",
       "vp+3cGwSDmBHzP0mYEgnferRNIOcJWZ2mgUX5Q0gGICHCQbSz4FbzOyUMJ/nbWY2giCfrQVoMLMS\n",
       "M7sJGB5zyh1ARdxMxk6C/Lmo3wOnmdmVZtY/vL095isOJf1L2joY260E47FtjLr7a8AS4A4zG2bB\n",
       "Baonm9k/xZzuRDP7YjhWP0SQUvRYbl+R9EEGXGtmJ4XvvzcCDwHDCPKO94bbv9nBsSKpSPfD1ITo\n",
       "nXCWdjzBt25bCNIpT4i5DXf394e7J5qQWAr8M0F6RB3HAuap4X1SOO+rwCVxzw8O3+t7HQXI2TMA\n",
       "uA3YBbxGkCoxh+Brkt8QBA57gbsJvjapAf4IvERwMd8h2l8A8nD47xtmtjy8/wOCrzcazWx+mDM3\n",
       "neDrkG1hu7cBJeH+qv0pmdDR2E40Rj9JMP7WAo3hPmNizvUMcGp4rluAD4Zf9YlkkwO/IngffhnY\n",
       "AHybIEd+ENAAPAUs5vj3TL2HSio6um6oK84zs8vNrB9BWtth4G8E6RL7zewrYVpQsZm9xczOD49r\n",
       "N1kReopgAuLtwLPuvpYwLZNjM8TPJDnvz4DvmNlEADMbFb24rxOF+4HS3dO6AfcS/DJWd/B8JUEg\n",
       "uCK8fT3dNnXTLZM3gk/pTwBrgH8AXwy3zyX4Oio6di/Jd1970w24CliW734U8k1jV7eefussRiBI\n",
       "aYkAI2K2zSH4wLIemJ7v/nfxtT4BfCq8fx/wrfB+JfBqzH6bCNIpOzvXNwkm0x4C9gHPA2fHPD+W\n",
       "4MK91wgmH56KnhMYQXDBYCNBHnP0mKcI6jRHHz8MrIlrt7PzGnB9+LvZR5BW9+3wuQqCbxKLEv08\n",
       "CvFm4YvotjB39gDwP+7+1gTPVwL/4e7JPmWI5IWZjQHGuPtKMxtK8Eb0r8CHgf0eVBSRDDOzq4BP\n",
       "u/u7892XQqWxKz1dRzGCmU0g+Ab1dOA8d280szMIgrO3E1yf8CfgNNeCVpIHaadYuPsygmTvzhTu\n",
       "FLv0eu6+w4OSeHiQprKOYxePaexmj1J+0qSxKz1dJzHCHQQrz8X6APCgux9193qCGcoLsttDkcRy\n",
       "kYPswDvMbJUFK7idkYM2RbrFzCoIFrT4W7jpC+HYvcfMyvLWsV7Ig3rd/5R8T0mFxq4UCjP7ALDV\n",
       "g1JgscYRU7khvB9f6abXMLPFFizmEX/7ar77Jrkp8/YCMMHdm8zsfcAigjI67ZiZZpIkbe7e7Vmz\n",
       "8Cvq/wW+5O4HzOynwLfCp28B5hEs9BJ7jMatZITGrhSqroxdMxsMfA2YFru5s9MnOEdvH7u3mdlt\n",
       "+e5Eb5ds3GZ9Btnd97t7U3h/MdA/LJ+TaN+c3r75zW+qzV7UZjosWF3oEeCX7r4oHI+ve4igPF/C\n",
       "r/py/Tr70u80120G/xfn/nX2lrGbjd9Xps9ZCH3MxDlnzvwm3/ymt7tNnXr8tpkz02unG04muKBr\n",
       "lZltIihd9rwFK29uI6a0GcfKmmV97Objd6w289dmKrIeIJvZ6GipETO7ADAPl1YW6QnC8XkPsNbd\n",
       "58dsj10d7nJgdfyxIvmksSuFxt1Xu/tod5/s7pMJ0ijOdfedQDXw0XAtgMkEJSCfzWd/pe9KO8XC\n",
       "zB4kKDRdbmZbCEqT9Adw9zuBDwL/z8xaCFZV+WhH5xLJk3cCVwJ/N7MV4bavAR8LV9JygrI8n81T\n",
       "/0Q6orErPVpMjDAyjBFucvf7YnZpm85z97Vm9huCuuktwL97qtN9IhmWdoDs7h9L8vxPgJ+k2042\n",
       "VFZWqs1e1GZ3ufuTJP42ZXGu+5KqvvI7zc84ykeb3dPTxm42fl+ZPmch9DFb56yoyPw5k0khRnhT\n",
       "3OPvAN/Jaqe6oa+8//WVNlORdh3kTDEzfVCUtJgZnsaFTt1sU+O2F4muO5XrX6nGrmTaVVfNpaJi\n",
       "btL96uvncv/9yffriMauFKJUxq2WmhYRERERiaEAWUREREQkhgJkEREREZEYCpBFRERERGIoQBYR\n",
       "ERERiaEAWUREREQkhgJkaVNTU8P06VcwffoV1NTUdPl5ERERkd4g7YVCpHeoqanh8stncujQ7QA8\n",
       "+eRMFi5cQFVVVUrPi4iIiPQWCpAFgHnz7gqD35kAHDoUbIsGwMmeFxEREektlGIhIiIiIhJDM8gC\n",
       "wKxZ1/DkkzM5dCh4PGjQbGbNWpDy8yIiIiK9hQJkAaCqqoqFCxcwb95dAMya1T6/ONnzIiIiIr2F\n",
       "uXu++wCAmXlP6Yt0rqamJiZQvqbHBMpmhrtbjtvUuO1FLBw9uf6VauxKpl111VwqKuYm3a++fi73\n",
       "3598v45o7EqhebnxZU4ZeUrScasZZOkSVbMQERGRQvXUlqdS2k8X6UmXtK9mEQTK0dlkERGRWGZ2\n",
       "r5ntNLPVMdv+08zWmdkqM/utmZXGPDfHzDaY2Xozm56fXktv1dzazLJXl6W0rwJkERERyZb7gEvi\n",
       "ti0BznT3s4CXgDkAZnYG8BHgjPCY/zYzxSmSMet2reONpjdS2lcDrxfI5Qp3s2Zdw6BBs4EFwAJK\n",
       "Sq6joeENra4nIiLHcfdlwO64bbXuHgkfPgOMD+9/AHjQ3Y+6ez2wEbggV32V3q9ucx1DSoaktK8C\n",
       "5AIXzQmurZ1Bbe0MLr98ZlYD1Wg1i2nTqjnnnLuB/qxYcXVO2hYRkV7nU8Bj4f1xwNaY57YCJ+W8\n",
       "R9Ir7Tuyj1U7VlE+uDyl/dO+SM/M7gUuA15397d2sM8PgfcBTcBV7r4i3XYlkI8V7qqqqqiqqmL6\n",
       "9Ctobv5MTtsWEZHewcxuBJrd/YFOdktYrmLu3Llt9ysrK6msrMxo36R3qaurY8GiBazYsYLB/Qen\n",
       "dEwmqljcB/wI+J9ET5rZpcAp7n6qmV0I/BS4KAPtioiISAEys6uAS4H3xmzeBkyIeTw+3Hac2ABZ\n",
       "JJmpU6dSRx2lh0vpV9SPp3/5dNJj0g6Q3X2ZmVV0sssMgoRV3P0ZMyszs9HuvjPdtiW/K9xpdT0R\n",
       "EekqM7sEuAGY6u6HY56qBh4wszsIUitOBZ7NQxell9l5cCeb92xmYulEDh49mNIxuaiDfBKwJebx\n",
       "VoJPhQqQMyCfK9xpdT0REemMmT0ITAXKzWwL8E2CqhUlQK0Fq/M87e7/7u5rzew3wFqgBfh3rQgi\n",
       "mbB823LMDLPU17TJ1UIh8T1STlEGRXOCs6WzlfOy3XZn6urqqKury0vbIiKSnLt/LMHmezvZ/zvA\n",
       "d7LXI+lrIh7h8U2Pp3xxXlQuAmTlFBWwnrxyXvyHqJtvvjl/nREREZEe55Xdr7Dn8B4mlU3q0nG5\n",
       "KPNWDXwSwMwuAvYo/7hw9IWV88xsgpk9YWZrzOwfZvbFcPsIM6s1s5fMbImZleW7ryKxNHZFRDr3\n",
       "9Jan6VfU9fngtAPkML/oKeB0M9tiZp8ys8+a2WcB3P0x4BUz2wjcCfx7um1K9uRy0ZEe5Chwvbuf\n",
       "SVBh5VozezPwVaDW3U8DHg8fi/QkGrsiIh1obm3mr1v+yqgho7p8bCaqWCTKL4rf5/PptiPZlyid\n",
       "4sYbv8CTT87utFJFZznKhcDddwA7wvsHzGwdwcWlMwguLoGgEksdCjSkB9HYFRHp2Lpd6zjccpiS\n",
       "4pIuH5uri/SkACRadGTp0up2lSqmTv0C8+bdxbx5dzFr1jUAPTZHuTvCkoXnECx/GluOcCcwOk/d\n",
       "EklKY1dEpL2lm5emvDBIPAXI0onVPP/8qk6D4SlTpuR8Jb9sMbOhwCPAl9x9f2w5GHd3M1P1FcmI\n",
       "TFdg0diVXFH1ICkU+47sY+WOlZw0rHurlVtPKTFoZip3mEOJ0iLap1isBu4GfggEqRVTpkxhxYqr\n",
       "iQbDsIARI26hsfEbwBjgLmA755xTzAsvPJnrl4SZ4e6pFzlsf2x/4PfAYnefH25bD1S6+w4zGws8\n",
       "4e5T4o7TuO1FonFlrn+lGruSaVddNZeKirlJ96uvn8v99yffryPpjN002tTYlaSWbV7GvSvuPa56\n",
       "xYHmA8yrmpd03OaiioX0MNFAuLZ2BrW1M7j88pnU1NS0LfwxbVo1I0YsIgiOj1Wv2Lx563HnmjRp\n",
       "DCUl1wFXEqQ9vpOVK9dx7rmVBXORnwXTbfcAa6MBRqiaY58GZgKLct03kc5o7IqIHM/deXzT45QO\n",
       "LO32ORQg90GdlW6rqqpiyZJHOO+8s447btKkMQwaNJvgmp8FDBo0m9tu+wZnnnkW8H2CWeRf4n4H\n",
       "K1Zc3RZ4F4B3EkT4/2xmK8LbJcB3gWlm9hLwnvCxSE+isSsiEmfnwZ3U76mndED3A2TlIPd5NcDP\n",
       "eP75XW2zyBCkXTz55Mx21Stuuy2oXhG/tPSxush3AYWXj+zuT9Lxh8WLc9kXka7Q2BUROd7ybcsp\n",
       "oqhLS0vHU4DcBx0LflcTzAZ/n8bG4AK8aAWKaLpFfDAMHBfwHjvf5By/EhEREZFj2paWHtK1paXj\n",
       "KUDug6LB78c/fi2Njd+noxnfaKCc6vnmzLmFVauuJxIJtieqmSwiIiKSLd1dWjqecpD7qKqqqrg8\n",
       "42iqxaqEecPJVtirqqrihRee5LHHHmTatGqmTasu6HrIIiIiUni6u7R0PM0g92GppFpA4hX2Ogp+\n",
       "U511FhEREcmkdJaWjqcZ5D4smhoRlHSLplq0r2pRU1PDxz9+bYdVL0RERER6gnSWlo6nALmPOz7V\n",
       "4pjozHFjY/qfxEREpO8xs3vNbKeZrY7ZNsLMas3sJTNbYmZlMc/NMbMNZrbezKbnp9dSqNJZWjqe\n",
       "AmRh1qxrjqtvPGvWNTH1kucCxz8fL1mesoiI9Dn3AZfEbfsqUOvupwGPh48xszOAjwBnhMf8t5kp\n",
       "TpGURJeWHjloZEbOp4HXR3QWvMauoJf44roqguD4Z4wYcUvC/OOOVucTEZG+y92XAbvjNs8g+E+F\n",
       "8N9/De9/AHjQ3Y+6ez2wEbggF/2UwrdqxyrcneKi4oycTxfp5UlNTU1MjeFrsnph27GL7K4E/srj\n",
       "j/9fvvWt67nxxhvb9kl0cd3xi4Vs4oEHEl+c1351vsJZJERERHJutLvvDO/vBEaH98cBf4vZbytw\n",
       "Ui47JoXrz5v+nNbS0vEUIOdBV6pCZEIQvF4J/BK4nUgEbrrpes4///xO2+xssRAREZF0ububmXe2\n",
       "S6KNc+fObbtfWVlJZWVlZjsmBWXHgR1s2rOJSaWJax/Xr6ynfmU9EFS6SIUC5DzIz2zrX4ldBjoS\n",
       "Sa3NVMu2JVqaWouEiIhIAjvNbIy77zCzscDr4fZtwISY/caH244TGyCLLN/e+dLSFWdXUHF2BQAH\n",
       "mg/w9C+fTnpO5SD3AbNmXUNR0YastpE8j1lERASAaqKzNcG/i2K2f9TMSsxsMnAq8Gwe+icFJOIR\n",
       "/rzpz2kvLR1PAXIedFQ1oqtSrRpRVVXFt751PUVF1ydsszvVJxIdU1VVxZIlj7BkySMKjkVEBDN7\n",
       "EHgKON3MtpjZ1cB3gWlm9hLwnvAx7r4W+A2wFlgM/Lu7d5Z+IcKm3ZvYfWh3xsq7RaWdYmFmlwDz\n",
       "gWLg5+5+e9zzlcCjwCvhpkfc/dvptlvIMpHb29U85htvvJHzzz//uDa7kw+d6xxqEREpTO7+sQ6e\n",
       "uriD/b8DfCd7PZLe5qktT2Vkael4aZ3RzIqBHxMM9G3Ac2ZW7e7r4nZd6u4z0mmrt0l3Sebu5DFH\n",
       "n5s37662QLk751HFChEREcm3TC4tHS/dkPsCYGNYrxAze4igjmF8gJw4a1pyKtHM75QpU/LcKxER\n",
       "EZGuy+TS0vHSDZBPArbEPN4KXBi3jwPvMLNVBLPMXw7zjCQN3akakWjmF+5m0KDZx52nszrNqlgh\n",
       "IiIi+ZbJpaXjpRsgp5I8/wIwwd2bzOx9BFernpZoR9U1TH0BkY7ymLu6AEl5+WgWLvxGu/MAneYY\n",
       "R9ueM+cWNm/ewaRJ+ZmFrquro66uLi9ti4iISP5El5Y+aVh21pJJN0COr1k4gWAWuY2774+5v9jM\n",
       "/tvMRrh7Y/zJ+npdw65e/Bafx5zs+I5mfuPPM336FSnlGK9fv5FDh26nsTEIqHN9oV78h6ibb745\n",
       "Z22LiIhI/qzasYqIRzK2tHS8dMu8LQdONbMKMysBPkJQx7CNmY22sHKzmV0AWKLgWOJTIIJANzqz\n",
       "m0opts6Oh8zWKk7WloiIiEi2/HnTnykbWJa186c1g+zuLWb2eaCGoMzbPe6+zsw+Gz5/J/BB4P+Z\n",
       "WQvQBHw0zT7nTFfTFRIdN3XquSxd+kKXzxF/vu6WVWto2Mn06Ve0az96XDToju+bcoxFRESkp0q2\n",
       "tHQmpF04zt0XExT0jt12Z8z9nwA/SbedXOtuUNr+uNXU1n4P+GFK5+goME21rFr88SUl17FmTX+a\n",
       "mz9zXPudvb5U6jQriJZsu+wyeOyxfPdCRER6mmRLS2dC5isr9xLdrfXb/rgrCILj1M7RUWA6Z85t\n",
       "KfU5/viGhrNYseLqhO0ne33J6jRnYrETkc7kKzi+9NL8tCt913XXzWXPnuT7lZXB/Plzs94fkZ4s\n",
       "W0tLx1OA3MMkuvBuzZpVwJfbtpWU3MCsWb9Ienw0fSJXfRXJBi00K73dnj1QUTE36X719cn3Eent\n",
       "Xtn9CrsP7WZSWfbSK0ABcoe6m0LQ/rjJwBfbnkt0jmR5zvPm3UVz83xgDHAXsJ0zzzwtpcB06tRz\n",
       "efzx64lEjm9fKRLtmdm9wGXA6+7+1nDbXODfgF3hbnPc/Y/56aHI8TRuRaSv+ePGP2ZlYZB4CpA7\n",
       "0N0Ugvjjpk79CkuXVic8R9fynKvC2wLKy6sTPN9eTU0Nt976IyKRTwE/o6hoAzfeeP1xtYyVItHm\n",
       "PuBHwP/EbHPgDne/Iz9dEklK41ZE+ozX9r/G8u3LmVg6MettKUDuRHdTCKLHpTI7nCzPubszvfHn\n",
       "jkQWsHRpNTfemP7r643cfZmZVSR4SsukS4+lcSsifUnNyzX0L+pPkaVbpTi57LfQR0Vnh2trZ1Bb\n",
       "O4PLL5/ZYf3iznSldnFsreSGhjfS6nuymst9yBfMbJWZ3WNm2Su4KJJZGrci0qs0HmrkL5v/wuih\n",
       "o3PSnmaQsySTs8OpzPTGp2v063ctZqvaLnBKdeY5nZrLvdBPgW+F928B5gGfjt9JS6RLV2V5mfSU\n",
       "xi1o7ErXZXnsinToiU1PANCvKDehqwLkPOpqHnBnKRvtA/JbaWnpT/B/4vH5x53pbnm73sjdX4/e\n",
       "N7OfA79LtF9fXyJdui6by6SnOm5BY1e6LlNj18zmAFcCEWA1cDUwBPg1MAmoBz7s7ikUwJPe7kDz\n",
       "AWpermHM0DE5a1MBcpZkcnYYjp/ZXbr0o5x55lmUl49k1qxrYvcE/guYT2f5x5KcmY1199fCh5cT\n",
       "vImL9Ggat9LThXnznwHe7O5HzOzXBKvsngnUuvv3zGw28NXwJn3css3LONp6NCfVK6IUIGdJOlUi\n",
       "ampqmDPnFjZv3sGkSeO57bY5cTO7NTQ39wsXAQnSID784UsoKrqeSOR04NRu97uvln8zsweBqUC5\n",
       "mW0BvglUmtnZBFUBNgGfzWMXRY6jcSsFah9wFBhsZq3AYGA7MIdgPAMsAOpQgNznHW45zO9f+j0n\n",
       "Djkxp+0qQM6irlaJiAbGK1euwn0g8H0aG2HGjE9w5plnxOx5F/B9jqVBrOYXv7g3LOn2a+AjwOy2\n",
       "vc0+T0PDeUyffkXCahrxfe6L5d/c/WMJNt+b846IdIHGrRQid280s3nAq8AhoMbda81stLvvDHfb\n",
       "CeTmaizp0Z7d9iwHjx5k1JBROW1XAXIPcSyFYjLwFuBzRAPg5maAuxk0aHY4s7s97ui/Eon8V7j/\n",
       "NIK0rpnAzzBbQ3HxgHazzckuulP5NxERyRYzOxm4DqgA9gIPm9mVsfu4u5tZh+to6gLTvqEl0sKi\n",
       "9YsoH5zestL1K+upX1kPQHNrc0rHKEDuIY6lUFRzLACuIbp6HhS3zew2NBSzZs0NYeAMRUUb2lbL\n",
       "CxYTmcmIEYs477yzaGiIBse66E5ERHqE84Gn3P0NADP7LfB/gB1mNsbdd5jZWOD1jk6gC0z7hpWv\n",
       "raSxqZGKEyrSOk/F2RVUnB2c40DzAZ7+5dNJj1GA3ONcQ3CtwheBEoJUCliz5gYAlix5BGhf0WLq\n",
       "1Ou59dbZMXnDv+SBB4JZ4unTr8ht90VERDq3HviGmQ0CDgMXA88CBwlmc6IX3CzKWw8l7yIeYdGL\n",
       "iygblJ9S7loopIeYOvVcioquB3YQlGcrIgiOxwDVNDefzJw5t7TtX1VVxZIljzBr1jUsXfoCU6ac\n",
       "wjnn3HfcYiKzZl3DoEGzCa53WBBedHdNfPMiIiI54e6rCJZHXw78Pdx8F/BdYJqZvQS8J3wsfdT6\n",
       "hvVs2buF0gGleWlfM8g9QE1NDbfe+qPwIrugbvHkyRW8/PJqgovtgtJuq1ZdT01NTVvwG1/6bdCg\n",
       "2cflF/fVi+5ERKTncvfvAd+L29xIMJssfZy78+j6Rxk2YBhmlpc+KEBOoLMFObIhfnGOSGQBw4ff\n",
       "TVHR/UQi82K2t88fTnVRD110JyIiIoVi055NrG9YT0VZRd76oBSLONFZ2draGdTWzuDyy2dSU1PT\n",
       "peOnT7+C6dOv6NJx8crLR3PWWW/p9vEiIiIiheixDY8xsN/AvM0egwLk47SflQ3SF6KzycmC386C\n",
       "65qaGs49912MHHkK555b2e74jvKEb7ttTqf5w8ovFhERkd5k+/7tLN++nNFD81sGO+0UCzO7hGBd\n",
       "42Lg5+5+e4J9fgi8D2gCrnL3Fem2m2vx+b6J6gl3lPIAMGPGR2lu7kfs4h/V1b9oS3/oKE+4s/xh\n",
       "5ReLiIhIb7Lk5SX0L+pPkeV3DjetANnMioEfEyTVbwOeM7Nqd18Xs8+lwCnufqqZXQj8FLgonXaz\n",
       "qaOlllPN901k3ry7aG6ewrHFP2pobj6Zj3/8Wh544CdtQXKicyXLH1Z+sYiIiPQGjYca+cvmvzBu\n",
       "2Lh8dyXtFIsLgI3uXu/uR4GHgA/E7TODIAcAd38GKDOzHrt8ZHRWdtq06uNKpgVqgCuAn9HQsLPd\n",
       "samlPNQQBMmfo7HxG3nLcRYRERHpSf78yp8B6FeU/xoS6fbgJGBLzOOtwIUp7DOeYJ31vEtUsSLR\n",
       "rGxQb/jid9bgAAAgAElEQVRYmgQEi3dEy65FzzNlyinAfZSXj2yX8hAc+2XgFI7VQO/aTHQqaR4i\n",
       "IiIiheZA8wGWvLKEMUPH5LsrQPoBcofrpMeJvwwx4XG5Xlu9fcC5mscf/7+cddZbuO22OQlLpZ15\n",
       "5lntlm1ubj6WY9xZPeKqqiqqqx9izpxbWL16Ay0tbT0Afsbzz+9qV9+4I+mkefRGdXV11NXV5bsb\n",
       "IiIikqZlm5dxtPUoJcUl+e4KkH6AvA2YEPN4AsEMcWf7jA+3HSfXa6sfCzjHALOJROaxYkUQ7Caa\n",
       "mS0vH5nkPB0HrtFZ6VtvvZWbbrqeSGQ1QSpGcNFeR21Kx+I/RN18883564yIiIh0y+GWw/zupd9x\n",
       "4pAT892VNunmIC8HTjWzCjMrAT4CVMftUw18EsDMLgL2uHuPSK845i6OpT20L+0WK92yau1XzPs1\n",
       "QarGTGAMhw5N5uMfv7bTvGKVdRMREZHe5tltz9J0tIlB/Qfluytt0ppBdvcWM/s8Qa5AMXCPu68z\n",
       "s8+Gz9/p7o+Z2aVmthE4CFyddq8z5FjFiskp7d9ZWbVElS/itZ9p3hRujV60d3vSmWSVdRMREZHe\n",
       "pCXSwqL1iygfXJ7vrrST9mWC7r4YWBy37c64x59Pt51siAacc+bcwqpV1xOJBNs7CnCjx0SD0mhF\n",
       "CYAbb/wCS5cGk+epBa7XAFfS1Yv2VNZNREREeouVr62ksamRihMq8t2VdvJfRyPPogFn+2oWyQPc\n",
       "4ytKzE6aQxxfY7mkpIUBA7azf39mXouIiIhIoYh4hIXrF1I2qCzfXTlOnw+Qo7o6M5vswryOyse1\n",
       "T5F4CIhWwAjO29nstYiIiEhvsW7XOrbu20pFWUW+u3IcBchZ0Fm94kSBeFfzihMF3yIiIiKFwt2p\n",
       "frGaYQOGYRZfDTj/FCB3IFkQ2tGS1ND1esVdmb3WYiEiItIbmFkZ8HPgTIL1Ea4GNhCUeZoE1AMf\n",
       "dvc9+eqjZM+mPZt48Y0XmVQ6Kd9dSUgBcgLxQejSpR9lwoQJ7N7dxKRJ49sWEslHRQktFiIiIr3E\n",
       "D4DH3P2DZtYPGALcCNS6+/fMbDbw1fAmvcwfXvoDA/sN7JGzx6AAOaH2QWgNzc0RXn75NaKLesyY\n",
       "8Qmqq3/R4cxvZ7PLIiIifZ2ZlQLvdveZEJSNBfaa2QxgarjbAqAOBci9zvb923n+teeZWDox313p\n",
       "kALkpG4DzgA+R/wS0/HBcWxaRtfLvqVGwbeIiPQCk4FdZnYfcBbwPHAdMDpmMbGdwOg89U+yaMnL\n",
       "S+hf1J8iS3e9uuzpMwFyVy5sOxaErgZWA6eldP6uln3rDi0WIiIivUA/4Fzg8+7+nJnNJ26m2N3d\n",
       "zDzRwXPnzm27X1lZSWVlZfZ6Khn1RtMb/GXzXzhp2Ek5a7N+ZT31K+sBaG5tTumYPhEgd/XCtmgQ\n",
       "+vGPX0tj49XAPcCX254vKbmBqVO/1LZIyKxZ1+Q0N1iLhWSemd0LXAa87u5vDbeNQBeLSA+mcSsF\n",
       "bCuw1d2fCx//LzAH2GFmY9x9h5mNBV5PdHBsgCyFZfGGxRhGcVFxztqsOLuCirMrADjQfICnf/l0\n",
       "0mN67tx2BrUPXoNAOToD25GqqirOO+8s4K3AQ8DpwNcZNuwb3HTTl7j11h9RWzuD2toZXH75TBoa\n",
       "3sj665Csug+4JG7bVwkuFjkNeBzlwUnPo3ErBcnddwBbzCz6Fe3FwBrgd0RnmoJ/F+Whe5Ilr+x+\n",
       "hdpNtYwbNi7fXUmqTwTI3TVr1jUMGjQb2AF8hkGDjvLww3fzyCO1MQH3GA4dmsyGDS9RUnIDwTUF\n",
       "C8Lc4Gvy2X3pAndfBuyO2zyD4BdK+O+/5rRTIklo3EqB+wLwKzNbBbwNuBX4LjDNzF4C3hM+ll6g\n",
       "JdLCfSvuY3jJ8JzOHndXn0ixaH9h22qKiu6noeEt1NTUtEtVSJSnHJ/vC7Bq1T+iRxAEybdz4ACU\n",
       "lFzHOefcR3n5SOUG9w66WEQKkcatFAR3XwW8PcFTF+e6L5J9T2x6glf3vsrkEybnuysp6RMBcjTQ\n",
       "nTPnFlatWksk8l+sWBEs8RzNRU62+l3U9OlXEIlcBcwmuAj3WN5xczOUl1ezZMkjuX6JkmW6WEQy\n",
       "qa6ujrq6uqy309m4BY1d6bpcjV3pXRqaGvjN2t8URGpFVJ8IkCEIkufNu4tI5DMkupCuaxfZvZXg\n",
       "m8trc9R7yZOdulhEsiE+GL355pszefqUxi1o7ErXZXnsSi/k7jyw+gFwGNBvQL67kzLlIHdR+7zk\n",
       "fwW+iPKOe61qdLGIFB6NWxHpMVbtWMXybcsLavYY+tAMMnS+yEaqC3DE5yVPnfqVrCwIIrllZg8S\n",
       "rN5UbmZbgJsILg75jZl9mrBcVv56KHI8jVsR6cmajjZx/6r7GTVkVI9dUrojfSpA7myRja4swBGf\n",
       "l3zjjVnuuGSdu3+sg6d0sYj0WBq3ItKT/f6l37Pv8D4mlvXcJaU70qcCZOh8kY3uLsDRlVX6RERE\n",
       "RHq7zXs289iGxxg/fHy+u9ItykFOU7T6ReyiITU1NfnulkhGXXYZmOX2JiIihak10sr9K+9nSP8h\n",
       "9CsqzLnYbvc61eVMzawe2Ae0Akfd/YLuttkT5XKJaZF8eeyx/LR76aX5aVekI9ddN5c9KSzcXVYG\n",
       "8+fPzXp/RHqiZa8u4+XdLzO5rDBqHieSTlgfXc70e2Y2O3ycaElTByrdvTGNtkSkB/AOK+qK9A17\n",
       "9kBFxdyk+9XXJ99HpDfafWg3D/7jQcYNG1dwF+bFSifFoivLmWb1J1RTU8P06VcwffoVOU9vOFb2\n",
       "TaXeREREpO9ydx76x0NEIhEG9huY7+6kJZ0AOdXlTB34k5ktN7PPpNFeQp3lANfU1HDuue9i5MhT\n",
       "OPfcyqwEz9HqF9OmVTNtWnXb6nsiIiIifcnaXWt5euvTjB02Nt9dSVunKRZmVguMSfBUu8JmSZYz\n",
       "fae7v2Zmo4BaM1vv7ssS7didZU87ygEGmDHjozQ39wO+T2MjzJjxCaqrf5HxALa71S8kPVryVERE\n",
       "pGc43HKYe1fcy8hBIymywq8B0WmA7O7TOnrOzFJaztTdXwv/3WVmC4ELgKQBcrrmzbuL5uYpwOcI\n",
       "Yvy7aG4+mTlzblEw20toyVMREZGeYfGGxTQeamRS2aR8dyUj0gnxky5namaDzWxYeH8IMB1YnUab\n",
       "x0meA7w67N4M4HOsWrVWZdhEREREMmTbvm1Uv1RdcMtJdyadKhYJlzM1s3HA3e5+GcHU7W/Dqxj7\n",
       "Ab9y9yVp9ThOZyvgLV36UZqbXwLuIBrLRyIqwyYiIiKSCRGPsGDVAgYWD6R/cf98dydjuh0gh2Xb\n",
       "jlvO1N23A5eF918Bzu5271KUKAe4qqqK6uqH+NCHPsP+/dnugYiIiHSFmRUDy4Gt7v4vqa6vID3L\n",
       "U1ue4sWGF6koq8h3VzKq8LOoY8SXe6uqquLhh+9WGTYREZGe50vAWoJqV3BsfYXTgMdJvLaC9CB7\n",
       "D+/lV6t/xeihowu65nEiBR0gx5ZxO+WUtzFjxieOK/eWShm2fNZRFhER6WvMbDxwKfBzjq2V0JX1\n",
       "FaQHeHjtwzS3NDO4/+B8dyXjCnOBbIKgtn0Zt58B/0miJZ87K8MWraMclIqDJ5+cqVrGIiIi2fVf\n",
       "wA3A8Jhtqa6vID3Aiw0vsmzzsl5TtSJewQbI7cu4zSQoqgFQA9wFbKehoTil8ySqo6wAWUREJPPM\n",
       "7P3A6+6+wswqE+2TZH2Fbq2bIJnT3NrMvSvupWxgWUHUPK5fWU/9ynog6HsqCjZAPt41BIU0SoDv\n",
       "A7BmzQ1taRbxampqmDfvLp5/fhXBtzoiIiKSA+8AZpjZpcBAYLiZ/QJIaX0FyOy6CdJ1S15ews6D\n",
       "OwvmwryKsyuoOLsCgAPNB3j6l08nPaZgA+RZs64Jy7h9OWZrMUFwHMwGNze3nw2OBsWvvLKeV17Z\n",
       "jvt8YDLwxbYzBBfxLUBEREQyz92/BnwNwMymAl9290+Y2fcI/gOPfq173PoKkn87Duxg4bqFvarm\n",
       "cSIFGyBHy7jNmXMLmzffwqRJ44G3sWJF4v2P5RpfCdQB8zm2zgmMGHEL5513Vrs6yiIiIpJ10VSK\n",
       "hOsrSM9xpOUI97xwD/2K+lFSXJLv7mRVwQbIcHz942NBcPA4djb4WK5xNXBa3JneynnnbWLJkkdy\n",
       "0m8REREBd18KLA3vJ1xfQXqGiEe4b+V9bGjcwKTS3nlhXqyCDpDjdbaqXnvvBGa3PSoqup5Zsx4E\n",
       "jqVhBMdfo9lkERER6dPcnd+u+y1PbXmKirKKXlfzOJFeFSBD4lX1IAh2n3wymmKxgCC94mcUFW3g\n",
       "W9+aRVVVlUq+iYiIiMT5y6t/4dH1jzKpbFJBVK3IhF4XIHckdna5oeF0YDnl5eOYNWtuWwCskm8i\n",
       "IiIix/xj5z+4d8W9jB8+nn5FfSZs7DsBMnQ8uywiIiIi7b2691V+8OwPGDV4FAP6Dch3d3KqTwXI\n",
       "yRxLwwgeq+SbiIiI9EWNhxq54+k7GFg8kKElQ/PdnZxTgBwj9Yv8pC8xs3pgH9AKHHX3C/LbI5Hk\n",
       "NG5FpLuajjYx/2/zOdxymDFDx+S7O3mhADmO0jAkAQcqwxJEIoVC41ZEuqwl0sKdy+9k275tTCid\n",
       "kO/u5E3BXopYU1PD9OlXMH36FdTU1OS7O9L79f6aNtIbadyKSMrcnQdWP8DKHSsZP3x8vruTVwUZ\n",
       "IEfLsdXWzqC2dgaXXz5TQbJkkwN/MrPlZvaZfHdGJEUatyLSJYs3Lqb25VomlU3qE7WOO1OQKRYq\n",
       "xyY59k53f83MRgG1Zrbe3ZdFn5w7d27bjpWVlVRWVua+h1JQ6urqqKury3YznY5b0NiVrsvR2JU8\n",
       "eG7bczz4jweZWDqxz9Q67kxBBsiJNDTsZPr0KwCtgCeZ5e6vhf/uMrOFwAVAwgBZJBXxwejNN9+c\n",
       "8TaSjVvQ2JWuy8XYldzb2LiRny7/KWOHjqV/cf98d6dH6PZHBDP7kJmtMbNWMzu3k/0uMbP1ZrbB\n",
       "zGZ3tF9XzJp1DYMGzSZYEW8BJSXXsWbNS0q5kIwzs8FmNiy8PwSYDqzOb69EOqdxKyKp2nFgB3c8\n",
       "fQelA0oZ3H9wvrvTY6Qzg7wauBy4s6MdzKwY+DFwMbANeM7Mqt19XRrtHleOraHhLFasuBqlXEgW\n",
       "jAYWhrlY/YBfufuS/HZJJCmNWxFJat+Rfdzx9B0YRunA0nx3J+siHmHv4b0p7dvtANnd1wPJkrgv\n",
       "ADa6e32470PAB4C0AmRoX44tmlohkmnuvgk4O9/9EOkKjVsRSeZIyxF+9MyP2H1oNycNPynf3cmq\n",
       "pqNNNDQ14DhnjjozpWOynYN8ErAl5vFW4MJMN6IV8ERERERS0xpp5d4V97KxcSMTSyfmuztZ0Rpp\n",
       "ZVfTLo60HKFsYBkfPOODXHDSBZQPLucGbkh6fKcBspnVAomWUPmau/8uhf55Cvu06e4V1VoBr2/q\n",
       "q1dTX3YZPPZYvnshItJ9ZjYB+B/gRIJY4S53/6GZjQB+DUwC6oEPu/uevHW0F3J3Fq5fyFNbn+JN\n",
       "ZW/qVeXc3J39zfvZfWg3RUVFvH3c26msqOTUEadSXFTcpXN1GiC7+7S0ehrkHccuwzKBYBY5oXSu\n",
       "qI5NuYguIgKqaNGb9dWrqfMVHF96aX7aFemu666by54UQ6uyMpg/f25W+yPtHAWud/eVZjYUeD6c\n",
       "lLsaqHX374UX9n81vEmGLN28lOoXq5lU2ntqHR9tPcrrB1/naOQo44aNY+bZMzl37LkMHzC82+fM\n",
       "VIpFRz/h5cCpZlYBbAc+AnwsQ20mFF1EJKiTDE8+OZOFCxPPKNfU1MTMOiuQlsLiXfp+RqTv2bMH\n",
       "KirmprRvfX1q+0lmuPsOYEd4/4CZrSNIy5wBTA13WwDUoQA5I1oiLSxav4hHX3yU8cPG06+osCv9\n",
       "uju7D+9m/5H9lBSXMLViKu+a+K6MBf7d/umY2eXAD4Fy4A9mtsLd32dm44C73f0yd28xs88DNUAx\n",
       "cE+6FSySSXURka4E0iIiIpId4STaOcAzwGh33xk+tZOgIoukafeh3dz5/J2s27WOSaWTCjo4PnT0\n",
       "EA1NDbR6K6eMOIUr33olbxvzNgb2G5jRdtKpYrEQWJhg+3bgspjHi4HF3W0nW7Qan4iISH6F6RWP\n",
       "AF9y9/2xM3/u7maW8LsyrQKZug1vbOCHz/6QI0ePUFFWUZBpFUdajrDr4C5avZXhA4bz/tPez0Xj\n",
       "L2LssLEpHd+da5YK9yNEB1TRQkREpOczs/4EwfEv3H1RuHmnmY1x9x1mNhZ4PdGxWgUyuYhHePyV\n",
       "x/nV6l9xwsATGDl8ZL671CXNrc3sOriLFm9hSP8hXHzyxbx93NuZfMLkLi+F3Z1rlnpdgJxqRQsF\n",
       "0iIiIvlhwTTmPcBad58f81Q1wVe70a94FyU4XJJoOtrEgpULeGrrU0wYPoGS4pJ8dyklR1uP0tDU\n",
       "QHOkmYHFA/mnSf/EheMv5OQTTu5yFYp09boAGdpXtOhsH5WGExERyYt3AlcCfzezFeG2OcB3gd+Y\n",
       "2acJy7zlp3uFa+u+rfzo2R/RcLChIMq4tURaaGhq4EjLEUqKS7ho/EVcOP5CTh1xKv2L++etX70y\n",
       "QE5VKoG0iIiIZJa7Pwl09D35xbnsS2/h7jy77VnufuFuBvYbyITSCckPypPWSCtvHHqDQy2H6Gf9\n",
       "OH/c+bxjwjs4vfz0HjPb3acDZBEREZFC19zazMNrHqZmYw1jho1hcP/B+e7ScZpbm2k81MiRliMU\n",
       "FxVz9pizedfEdzGlfErGK1BkggJkERERkQL1RtMb/PS5n7Jh9wYmlU3Kea5uR9ydg0cPsvvQbhxn\n",
       "QPEA3j7u7Zw37jxOHXEqQ0qG5LuLnVKALCIiIlKA1u5ay4+f/TERj1BRmv8Sbq2RVvYc3sOB5gMA\n",
       "jBk6hg9M+QBvOfEtTCrtOcF7KhQgi4iIiBSQ1kgrizcu5uE1D1M+uJxhA4blrS+HWw7TeKiRltYW\n",
       "zIwzR53JheMv5PTy0xk5aGTeg/buUoAsIiIiUiD2H9nPPSvu4YXXXmDC8Ak5r/Tg7uw7so+9R/YC\n",
       "MKT/EN498d2cM/YcThlxSo/MJ+4OBcgiIiIiPVxzazPLty/n4bUPs//wfiaXTc7J7Gw0l3jP4T1E\n",
       "PIK7M7F0IlUnV3HGiWcwfvj4Li/cUQgUIIuIiIj0UE1Hm3h6y9M8+uKj7D28l/LB5YwvHZ+19mID\n",
       "4lZvBQ9yiaefPJ03l7+ZSWWTGD5geNba7ykUIIuIiIj0MHsP72Xp5qU8tuExDrcc5sQhJzLihBEZ\n",
       "b8fdaTra1BYQuztjho5h2snTeHP5m6koq+gTAXE8BcgiIiIiPcSug7v406Y/8fgrj9MaaWXM0DEM\n",
       "6DcgY+ePDYhbIi0AnDjkRN47+b2cceIZTCqdROnA0oy1V6gUIIuIiIjk2dZ9W6nZWMOTrz5JkRUx\n",
       "ZuiYjFyA19zazL4j+zjYfBAzw93bAuI3jwpmiBUQH08BsoiIiEgeuDuv7H6FP2z4Ay+89gIlxSWM\n",
       "Hz6+2/WCj7YeZX/zfvYf2R8EwzhD+g/h1BGn8uZRb2Zi6UTGDRvXJ1MmukoBskiaCrTEo4iI5EnE\n",
       "I6zbtY5HX3yUF994kUH9BjGxdGKXqkG0RFo40HyA/Uf24zgAA4oHcPKIk9supjtp2EmUDSwr2FrE\n",
       "+aQAWaQAXXppvnsgklnXXTeXPXtS27esDObPn5vV/ohkQ9PRJta+vpaF6xeydf9WhpUMS7oCnrtz\n",
       "qOUQTUebaDra1La9X1E/JpdN5p8r/pmKsgrGDRvHyMEje2XJtXxQgCySJvd890Ck8O3ZAxUVc1Pa\n",
       "t74+tf1E8m3fkX1s3rOZDY0bWLljJVv2bsFxygaWHRcYt0ZaOdRyiIPNBznccrgt0I14hPLB5Uwp\n",
       "n9IWCI8bNo5Rg0cV1NLNhUYBsoiIiEia3J3dh3ezec9m1jWsY9WOVbx+8HXMjCKKKB1YysTSibRE\n",
       "Wmg62sSOAzs40nqkLRAusiLGDRvHlJFTqDihgtFDRlM+uJzyweU5Xy1PoNvz8Gb2ITNbY2atZnZu\n",
       "J/vVm9nfzWyFmT3b3fayoa6uTm32ojazwcwuMbP1ZrbBzGbnuz9RfeV32lfazIZ8jN1s/Ozq6zN7\n",
       "zkyfr6+fMxt64vtuorHt7uw8sJNntz3LfSvu4z9q/oPr/3g9tz95OwvXL2T7/u3H9sXZc3gPm/du\n",
       "pvFQI+WDy3n3pHfz6XM+zVfe+RX+c9p/cte/3MW3/vlb/Nt5/8bFb7qYN9a9wdhhY3MaHOs995h0\n",
       "ZpBXA5cDdybZz4FKd29Mo62sqKuro7KyUm32kjYzzcyKgR8DFwPbgOfMrNrd1+W3Z33nd9pX2sy0\n",
       "fI3dbPzs6uvrqKjI3Dkzfb6+fs5M64nvuy2RFhbXLmb828bT0NTApt2beP6159l7eC8HjwbpEIYx\n",
       "oN8ABvcfzOihoxk1eBQnDj2RsUPHcsLAEygdWMrwAcMpHVDKwH4DU7porq+8//XU99xuB8juvh5I\n",
       "9cpIXT4phegCYKO71wOY2UPAB4C8B8giSWjsSqHK+Nh1dxynNdJKq7dypOUIe4/spaGpod3tjaY3\n",
       "jh2DE/FI27F/3fJXeD7Y3hJpodiKufhNF7ctu1w6oJTSgaUM6T9EFSN6iVzkIDvwJzNrBe5097tz\n",
       "0KZIJpwEbIl5vBW4ME99EekKjV0pVCmN3ZueuAkIgl8IAtf4+9HSZ/HbzQzDgtxgK2q7X2zFnDjk\n",
       "xLa831FDRlE+uJyygWXc/pfbuXnazdl71dLjmHdyCb6Z1QJjEjz1NXf/XbjPE8Asd3+hg3OMdffX\n",
       "zGwUUAt8wd2XJdhPtQAkbe6esY/uZnYFcIm7fyZ8fCVwobt/IWYfjVvJCI1dKVQau1KIko3bTmeQ\n",
       "3X1aBjrwWvjvLjNbSPD1yXEBcib/wEQyZBswIebxBILZjDYat9JDaexKodLYlR4hU9WkEw5WMxts\n",
       "ZsPC+0OA6QQX94kUguXAqWZWYWYlwEeA6jz3SSQVGrtSqDR2pUdIp8zb5Wa2BbgI+IOZLQ63jzOz\n",
       "P4S7jQGWmdlK4Bng9+6+JN1Oi+SCu7cAnwdqgLXAr3tCBQuRZDR2pVBp7EpP0WkOsoiIiIhIX5OX\n",
       "Bbu7sMhIRouFm9kIM6s1s5fMbImZlXWwX9qLm6TSdzP7Yfj8KjM7pzvtdKVNM6s0s73h61phZl9P\n",
       "s717zWynmXWYNpOF19hpm5l+jUn6ktNi9qn8vLPQ5gQzeyL8e/2HmX0xB20ONLNnzGylma01s9uy\n",
       "3WZM28XhuPldDtvM22JKqb4Xp3CejP8tZHq8Z2MsZ2usZnocZmOMmVmZmf2vma0LX/tFmThvkjZz\n",
       "voCI3nezL9fvuyn/Pbh7zm/AFOA04Ang3A72KQY2AhVAf2Al8OY02/0e8JXw/mzgux3stwkYkUY7\n",
       "SfsOXAo8Ft6/EPhbmq8tlTYrgeoM/h7fDZwDrO7g+Yy+xhTbzOhrTOfnnYU2O33tWWpzDHB2eH8o\n",
       "8GK2X2fY1uDw337A34B35ej1/gfwq1yMoZg203q/SbPtpO/FKZwjK38LmR7v2RrL2RirmR6H2Rhj\n",
       "wALgUzGvvTST58/VOEuhXb3vZr/dnL7vpvr3kJcZZHdf7+4vJdmtrVi4ux8FosXC0zGD4I+a8N9/\n",
       "7WTfdK6STaXvbX1x92eAMjMbneU2IYOLtnhQrm93J7tk+jWm0ibkZmGabIzPTqX42jPd5g53Xxne\n",
       "P0BQrH9cDtptCu+WEPzHmPWVOM1sPMGHup+T+8WN8nJVforvxclk5W8h0+M9W2M502M1i+Mwk6XY\n",
       "SoF3u/u9EOQNu/veTJ2/Azl/zwW972a7zTy+7yZtKy8BcooSFQs/Kc1zjnb3neH9nUBHwVp0cZPl\n",
       "ZvaZbrSTSt8T7TO+G211pU0H3hGmOzxmZmek0V53+5TOa0xFrl5jNsZnj2ZmFQQzKc/koK0iCy7u\n",
       "3Qk84e5rs90m8F/ADUAkB23FSvf9Jt8K7m8hk2M5C2M1G+Mw02NsMrDLzO4zsxfM7G4zG5yB83am\n",
       "4MZZJuh9NytS+nvI2kp6lsIiI0l06+rBTtq9sd3J3d06Ljb+To9Z3MTM1nuCxU06kWrf4z/BpHPF\n",
       "ZCrHvgBMcPcmM3sfsIjg69VsyuRrTEWuXmOfurrVzIYC/wt8KZzRyCp3jwBnhzNVNWZW6e512WrP\n",
       "zN4PvO7uK8ysMlvtdCDd95tOZeC9OJmC+lvI9FjO5FjN4jjM9BjrB5wLfN7dnzOz+cBXgZsy0dkO\n",
       "FNQ4ywS972ZNSn8PWQuQPf1FRpIWC+9qu2Gi/Rh332FmY4HXOzhHSoubpNn3+H3Gh9u6K5Xi6vtj\n",
       "7i82s/82sxHunq2vUTL9GpPK4Wvs1vgsRGbWH3gE+KW7L8pl2+6+14KykecDdVls6h3ADDO7FBgI\n",
       "DDez/3H3T2axTSAj7zfJzp/2gk9JFMzfQjbHcobGalbGYRbG2FZgq7s/Fz7+X4IAOZsKZpxlgt53\n",
       "syfVv4eekGLRUR5INoqFVwMzw/szCWYX23cmM4ubpNL3auCTYTsXAXti0j+6I2mbZjbazCy8fwFB\n",
       "mb9s5hhl+jUmlcPX2CeK2Yc/y3uAte4+P0dtlltYYcbMBgHTgBXZbNPdv+buE9x9MvBR4M+5CI4z\n",
       "9H6Tse5087iC+FvIxljO9FjNxjjMxhhz9x3AFjOLfjt3MbAmnXOmoCDGWSbofTd7uvT3kOwqvmzc\n",
       "gMsJcokOATuAxeH2ccAfYvZ7H8HVmxuBORlodwTwJ+AlYAlQFt8u8CaCq2NXAv/obruJ+g58Fvhs\n",
       "zD4/Dp9fRTevIO9Km8C14WtaCTwFXJRmew8C24Hm8Pf5qRy8xk7bzPRr7OrPO5u3mNd+JHztV+eg\n",
       "zXcR5IatJHizXAFckuU230qQKrMS+DtwQ7ZfZ1z7U8nd1dSTM/F+k0b7Cd+Lu3GejP8tZHq8Z2Ms\n",
       "Zz3rZJAAAABxSURBVHOsZmocZmuMAWcBz4Xv7b8ly1UssjXOUmhT77u5+Tnn5H23K38PWihERERE\n",
       "RCRGT0ixEBERERHpMRQgi4iIiIjEUIAsIiIiIhJDAbKIiIiISAwFyCIiIiIiMRQgi4iIiIjEUIAs\n",
       "IiIiIhLj/wNGl38O4HgB9AAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0xca33860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# other plot styles\n",
    "xx = np.linspace(-0.75, 1., 100)\n",
    "n = array([0,1,2,3,4,5])\n",
    "\n",
    "fig, axes = plt.subplots(1, 4, figsize=(12,3))\n",
    "\n",
    "axes[0].scatter(xx, xx + 0.25*randn(len(xx)))\n",
    "axes[0].set_title(\"scatter\")\n",
    "\n",
    "axes[1].step(n, n**2, lw=2)\n",
    "axes[1].set_title(\"step\")\n",
    "\n",
    "axes[2].bar(n, n**2, align=\"center\", width=0.5, alpha=0.5)\n",
    "axes[2].set_title(\"bar\")\n",
    "\n",
    "axes[3].fill_between(x, x**2, x**3, color=\"green\", alpha=0.5);\n",
    "axes[3].set_title(\"fill_between\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAs4AAAEKCAYAAAACfdMTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3X+8pWVd7//XWxHERBDx8BvhW0M6aomUWJpuIjnUMcBz\n",
       "UAa/EuXUKam0tHKwjgxZCZ0S6Qecb4nyo0BREkEBmZCdlsJkAaIjh+F8HWUGZtABQVIL5HP+uK/N\n",
       "LDb7x5qZtfdas/fr+Xisx773df/63Gvtfd2fdd3Xfd2pKiRJkiTN7EnDDkCSJEnaEZg4S5IkSX0w\n",
       "cZYkSZL6YOIsSZIk9cHEWZIkSeqDibMkSZLUBxNnDUWSNyXZlOTBJM/czm2tS3LUIJZP8hNJbt+e\n",
       "eCRpmJKsTHLxdqz/xSSvGGRM0+xnq+rurdz2Y8ewPe/HTOsmGUty1wzrnpfk97ZlvxpdJs7aaq2y\n",
       "+3ZLeu9P8k9JfjlJ+lz/KcCfAkdV1TOq6v7tDKnaq98K8rHlnzCj6jNV9dzZdri9JyZJC0+S1yf5\n",
       "fJJvJbk7ydVJXjaEUPp+QEOSC5K863ErV72gqj49+LCeYNq6uFeSg5M8mqTvnGXSMWzPAyu2ed2q\n",
       "elNV/cFsy7Vz6k9u6340v0yctS0KeHVVPQM4CDgTeDtwfp/r7wM8Ffjy3IS3Y0uy07BjkLR1krwV\n",
       "OBv4A+A/AQcCfwkcO4xwhrDP+bCtxzXq70cxRzF6Phk8E2dtl6r6VlVdBZwInJLk+QBJdknyJ0m+\n",
       "mmRju2T11CSHsiVh/maSv2/Ln5Pka0keaC02L5/Yx+QWkekujyU5BjgNOLG1+Nw8Q+iHJbk1yTeT\n",
       "fDDJLlNtO8nbk6xvreu3J/nJ6faTZL8kVybZnGRtkl/s2c6uSS5Mcl+SNUl+Z9J+1rWyLwDfSvLk\n",
       "JCuS3Nn2/aUkx/cs//Otpf89rdX/ziQ/nuQX2vu4KcnPzf4JStpeSXYHzgBOraorquo7VfW9qvpE\n",
       "Vb29LTNjPdbqgN9K8oVWr5yfZO8k17R6cVWSPaZat2f9KVstk3w4yT2tvvuHJEtb+X8HXg/8Ttvn\n",
       "x3q31eq0b6enO12Sw5J8PcmT2+9vbHXafUmuTXLQDO/Tye2c8I0k75g0Lz113jeSfKhnvxMtx99s\n",
       "cR6R5PuTfKot+/Ukf9M+h37ej5cm+WyrO29J8sqeeYe09+jBJNcBe013PD3rvLXVuXcn+fme8sc+\n",
       "8yR7Jfl42+fmJJ9ux3wxXQPUVe3Yfqstf2yr9+9PckOS5/Zs98VJbm4xXtbeq4n9jKU7Z/1OknuA\n",
       "85Ps0fZ9b/ucrkqyf8/2xpO8q51TvpXuPLZXkr9tf3urkzxntvdhsTBx1kBU1T8D64GJhPdM4AeA\n",
       "H24/9wfeWVV3AM9vy+xeVT/Vple3ZZ8JXAJ8OMnOE5unj8tlVXUt8EfAB6tqt6o6bJpFA7wW+M/A\n",
       "IcAPAT//hIWSHwR+FfiR1rp+NLBuhv18EPgasC9wAvBHSY5s806nqxwPAV4FvGGKY1oG/DSwR1V9\n",
       "D7gTeHnb9xnA3yTZu2f5lwC3AnsClwKXAS8Gvr9t/y+SPG36d0zSgPwY3VW0j86wzGz1WAH/FTgK\n",
       "+EHg1cA1wAq6FuwnAW+eZf3pfIKuHn428K/A3wJU1V+16bNaXXZc77aq6m7gc8B/69nW64EPV9X3\n",
       "khxH14jwGroE8zN0ddETtGT9XOD/BfYDngUc0LPIm+la519BV4feT9diD/AT7efuLc6b2u9/2JZ9\n",
       "Hl0L/8rZ3o+WMH4c+P2qeibwW8DlSZ7VFrkE+OcW37uAU6bbVrMP8Ix2TMuBv+xJ4Hs/87cBd9G9\n",
       "T/8JOK06J9OdN17dju1P0jUwXdLek72Aq+kS653aefGjwPvpzpeXAsdPinHvNu8g4Jfp/nbOb78f\n",
       "BHwH+ItJx3Ei3Xljf7pzyOfaOnvSNXadPsN7sKiYOGuQ7gb2TBLgl4C3VtU3q+oh4N10iSFMcUmq\n",
       "qv62qu6vqker6j3ALnQnD6ZbZxrpY9kC/qyqNrb+1VcBL5piue+1OJ6f5ClV9bWq+v+n2k+SA4Ef\n",
       "B95eVf9RVbcC7wMmWn1fC/xRVT1QVRuAcybFORHThqr6d4Cq+khVbWzTlwFrgSN61vlKVV1YVUWX\n",
       "NO9HdzJ4uKpWAf9Bd7KUNLeeBXyjqh6dZbnZ6qY/r6qvt4T1M8DnqurWVid8FJiuMWBGVXVBVf1b\n",
       "VT1M9yX8h5Ps1mdclwAnQdcqTJdgXdLm/Qrw7qr63+3Y3w28qNWHk50AXFVV/1hV/wH8D6D3/fpl\n",
       "4Peq6u6eOE9I1695qnPG/6mq61t99w26bjKvnLzcFN4AXN0aQKiqvwc+D/yX1lr+I8D/aNv9DN35\n",
       "Yab352G6evd7VXUN8BCPP3dN+A+6JP/gtuw/zbDNE4GPt+P7HvAnwK7Ay4CXAk+uqj9v2/koXcNT\n",
       "r0eB09sxfLeq7quqj7bph+gafnrfqwI+UFVfqaoH6b6w3VFVn2r7/zDb+Le3EJk4a5AOAO6j+4b8\n",
       "NOBf2mWm++n+Eae95JXuEuWadJcS7wd2n2n5AdjYM/0d4OmTF6iqO4HfoGvF2JTk0iT7TrO9/YD7\n",
       "qurfesq+1son5vdeWl0/xTYmX3r9uXY5buI9fAHdCXrCpknHQFV9fbbjkjRwm4G9shU3r01j8v90\n",
       "7+/fZRv+n9N1+zqzdYF4APhKm9Vv/fp3wI8l2YeuNfjRqvrHNu85wDk9ddTmVr7/FNvZl556r6q+\n",
       "3bM8wMHAR3u2tQZ4hK71dKrj2jtdN7v17bgu5vH143SeA7x2Yj9tXy+jazneD7i/qr7Ts/xXZ9ne\n",
       "5klfmL7N4z+niaT7f9JdRbwuyf9J8vYZtrkv3fkDgNY4chfd+7ovsGHS8pO7Ln69fTnpAkieluT/\n",
       "a91XHgD+Adi9fRGaMPlv7d5Jv3suaUycNRBJfpSu0vlHusrwO8DSqnpme+3RuhxMte5PAL8NvLYt\n",
       "90zgAbZUOP9Gl4hP2GeGULbn7uknbqzq0qr6CbrKtoCzptnPRGt7b+VyEFsquHvoLiVOmKpF5rFt\n",
       "tv5kf0XXVWTP9p58kdG/yUVajD4H/Dtdl4XpbE09NmG6//fHbStdf+NnT7Ps6+m6QBxVVbvTdRfr\n",
       "3faMdWa7KncdXSvo63l8V4yvAf+9p55/ZlV9X1XdOMWmHlcHtm5kvYnu14BjJm3raVV1zzQx/hHd\n",
       "VcEXtOM6mf5ymq8BF0/az25V9cctxmdO6uI2Ufdvl6p6qKp+q6q+n+7zeGtPV76pzieP9SluCe6B\n",
       "dF887uGJX0wm9yufvL23AYcCL2nv1SuZ+ersQM+jC42Js7ZVAJI8I8mr6SrTi6vqS+3b918D703y\n",
       "7Lbc/kmOnmZbu9G1LHwjyc5J3knXZ2zCLcDPJHlma/X4jRni2ggcPOmb9DZJcmi6G2R2oTspfpeu\n",
       "on7CfqrqLuCzwLvT3Rj5Q8Abgb9py18GnNZu0tgf+DVmrpy+r83/BvCkJL9A1+IsacRU1QPAO+n6\n",
       "tx7XWviekuSnk0x82d6aemw2dwBPTfIz6Yb3/D26bmVTeTpd/XVfku+jSzh7bQL+n1n2dwldX9//\n",
       "xpZuGgD/C3hHttxsuHuS106zjY8Ar07ystZP9/d5fA7yv+juCzmobevZSSZGJPk6XfeD7590XP8G\n",
       "PNjq1N+e5Rgm/A3ws0mObq3xT013Q93+VfVVum4bZ7TP7+V0fc23VW93vlcn+YF2zniQ7lwy0VK9\n",
       "adKxXUbXdeQn2+f7Nrrzz2eBG4HvJfm11uf5OOBHZ4nj6XSNWQ8k2ZOp+ytnmmlNYuKsbXVVkgfp\n",
       "vr2fRjcu8y/0zH873WWpG9uloVV033gn9CaN17bXHcA6un/wr/XMv5juJrh1bbkPMn3S+eH2c3OS\n",
       "z/d5LJNv2pmY3oWuz97X6b7l70V3rNPt5yS6y413013efGdVfarN+3261oKv0LXefJiuz9vUAVWt\n",
       "oXtPP0eXpL+ArjV/upiZ4ndJ86Tdm/FWuiT2Xro67FS23DC4NfXYY5udND1x094Dbdvvo6tXHuLx\n",
       "l+t764eL6LobbKC7avW5Sds9H1jaui383TRxXEl3v8Q9VXVbzzFfQXcV7oOtnr+N7qbrJx5IV6f9\n",
       "Kl3ifTddt77emM9p+7munVs+R3cD9ES3jj8E/indqBAvoesD/WK6q5NXAZcz/fvZ+96tB44D3sGW\n",
       "z+ltbMmHXk93L8l9dF+GLpxmm73bnmnexPwfoDsPfosuAf7LqvqHNu/dwO+1z+Ct1d1E/wbgz+nO\n",
       "P/8F+NmqeqR1wfivdDci3k93s+XHefz5ZHJM76XrI/2Ntu9rplhmyr+1Po9zUUnXdWaamclT6frC\n",
       "7ALsDHysqk5LshL4RboPFOAdrVM8SU6ja2n7HvDmqrqulR8OXEB35/HVVfWWVr4L3T/2i+ku8Z/Y\n",
       "vvVJC1aSNwGvq6ojZ11YmiTJ++lOpvdW1Qtb2Z7Ah+gu8a6j+/v6Zps3sHo5ySnA77ZQ/qCqLprr\n",
       "45U0vSQ3AedW1WxJvgZgxhbnqvoucGRVvYhuyK4j26WLAt5TVYe110TSvJSuH9RS4Bjg3J5L5ucB\n",
       "y6tqCbAk3Vi40H1r2tzKz2ZLH1JpwUiyT7tE+aR0w9y9lZmHrpJm8gG6OrbXCmBVVR0KXN9+H2i9\n",
       "3JLzd9K1BL4EOD1tbGFJ8yPJK9o5Zaf2RfYFdFcxNA9m7arRLpFA1+L8ZLpLAzB1H5jjgEvbECjr\n",
       "6C7VH5FuJILdqmpiyJSL6MYdhK6T/MS3pMvpxrCUFpqd6frwPUiX1FxBN6aptNXaMFmTH1XfW5de\n",
       "yJY6dpD18n8GrqtumMlv0l16npzAS5pbP0jXZ/5+4DeBE6pq08yraFBmTZxbC9ktdJ3Xb6iqL7VZ\n",
       "v57uyWvn97Q47Mfjh9laT3f35+TyDWy5K3R/Wj+nqnqELZ3XpQWjujGgX1hVT6+qA6rqt9vfuzQo\n",
       "e/ecPDexZRivQdXLz5phW5LmSVX9dVXt00YDedHEVX/Nj35anB9tXTUOAF6RZIzu8t4hdA+NuIfu\n",
       "JiZJ0gho4756M48kDdhO/S5YVQ8k+QTd44fHJ8qTvI/ujlboWix6x6c9gK5FYgOPf7TmRPnEOgcB\n",
       "dyfZie6RmvdN3n8STwKSdlhVNddDPG1Ksk9VbWzdMCYeYDCoenlzkg3AWM86BwKfYgrW2ZJ2ZNPV\n",
       "2TO2OCfZa6IbRpJdgVcBN7cxKCe8hm4IGuiGklnWxuI9BFgCrK7uscEPJjmi3ZRyMvCxnnVOadMn\n",
       "0PX/nO4g+nqdfvrpfS87169RicU4RjeWUYljlGIZlTgGFcs86a1LT6HrRz9RPqh6+Trg6DYe+TPp\n",
       "zgmfnC6gxfp5L6Q4RimWUYljlGLZljhmVlO8+ik/vY/l+93W9pafPqDtTG22Fud9gQvTPUb0SXQP\n",
       "uLg+yUVJXtS2/hW6Z8xTVWuSXMaWR2WeWls+pVPphj3alZ7nxNONIXlxkrV0wx4tmyUmSVrUklxK\n",
       "9/SvvZLcRTfSxZnAZUmW04ajg8HWy1V1X5J3Af/cljuj2pB3kkZLZnwO2FTJoc896ceMiXN1A52/\n",
       "eIryn5thnT/iiU8moqr+BXjhFOX/TqvgJUmzq6qTppn1U9MsP7B6uao+QDccnqQRYII8v/ru47wj\n",
       "GRsbG3YIjxmVWIzjiUYlllGJA0YnllGJA0YrloVqlN7jUYllVOKA0YllVOKA4cQy2gny2DzuazZj\n",
       "c7r1GZ8cOEqS1I4SqyT1SkLN/c2BI8U6WxqsLnGeLkHeEcpHMabpy6ers2cdjk6SJEnSAu2qIUmS\n",
       "tCOauUuGhs3EWZIkaaQMu8+ypmNXDUmSJKkPtjhLkiTNM7tk7JhMnCVJkobCLhk7GrtqSJIkSX0w\n",
       "cZYkSZL6YOIsSZIk9cE+zpIkSXPEmwAXFhNnSZKkOeVNgAuFXTUkSZKkPtjirJEx7MtZVVO1CEiS\n",
       "JHVMnDVihpW8eslMkiTNzK4akiRJUh9scZYkSdpOw+5uqPlh4ixJkjQQjp6x0NlVQ5IkSeqDibMk\n",
       "SZLUBxNnSZIkqQ8mzpIkSVIfZkyckzw1yU1JbkmyJsm7W/meSVYluSPJdUn26FnntCRrk9ye5Oie\n",
       "8sOT3NbmndNTvkuSD7XyG5M8Zy4OVJIkSdoeMybOVfVd4MiqehHwQ8CRSV4OrABWVdWhwPXtd5Is\n",
       "BU4ElgLHAOdmy/gs5wHLq2oJsCTJMa18ObC5lZ8NnDXIA5QkSRqEJNO+tDjM2lWjqr7dJncGngzc\n",
       "DxwLXNjKLwSOb9PHAZdW1cNVtQ64Ezgiyb7AblW1ui13Uc86vdu6HDhqm49GkiRpTtU0Ly0GsybO\n",
       "SZ6U5BZgE3BDVX0J2LuqNrVFNgF7t+n9gPU9q68H9p+ifEMrp/28C6CqHgEeSLLnth2OJEmSNDdm\n",
       "fQBKVT0KvCjJ7sAnkxw5aX4lmZevWitXrnxsemxsjLGxsfnYrRaJYV1qq7KlYqEZHx9nfHx82GFI\n",
       "kgYsW3PSTvI/gO8AvwiMVdXG1g3jhqp6bpIVAFV1Zlv+WuB04Kttmee18pOAV1TVm9oyK6vqxiQ7\n",
       "AfdU1bOn2HeZYCxsXeI6rM94WPuOifMikISqWlSdIK2ztRDNfJ6abp7lw9/31pdPV2fPNqrGXhMj\n",
       "ZiTZFXgVcDNwJXBKW+wU4Io2fSWwLMnOSQ4BlgCrq2oj8GCSI9rNgicDH+tZZ2JbJ9DdbChJkiSN\n",
       "lNm6auwLXJjkSXRJ9sVVdX2Sm4HLkiwH1gGvA6iqNUkuA9YAjwCn9jQ5nApcAOwKXF1V17by84GL\n",
       "k6wFNgPLBnVwkiRJ0qBsVVeNYfKy38JnVw0tVHbVkBYGu2psT/koxjTgrhqSJEmSOrOOqiFJkrSY\n",
       "+EATTcfEWZIk6Qmmu7SvxcyuGpIkSVIfTJwlaQFJclqSLyW5LcklSXZJsmeSVUnuSHLdxDCjPcuv\n",
       "TXJ7kqN7yg9v21ib5Jye8l2SfKiV35jkOfN9jJI0LCbOkrRAJDkY+CXgxVX1QuDJdEN8rgBWVdWh\n",
       "dGPlr2jLLwVOBJYCxwDnZkvnzvOA5VW1BFiS5JhWvhzY3MrPBs6ah0OTpJFg4ixJC8eDwMPA09qT\n",
       "WJ8G3A0cC1zYlrkQOL5NHwdcWlUPV9U64E7giPZE2N2qanVb7qKedXq3dTlw1NwdjiSNFhNnSVog\n",
       "quo+4E+Br9ElzN+sqlXA3lW1qS22Cdi7Te8HrO/ZxHpg/ynKN7Ry2s+72v4eAR5Isufgj0aSRo+j\n",
       "akjSApHk+4HfAA4GHgA+nOQNvctUVSWZlyeTrFy58rHpsbExxsbG5mO3krSVxttrdibOkrRw/Ajw\n",
       "2araDJDk74AfAzYm2aeqNrZuGPe25TcAB/asfwBdS/OGNj25fGKdg4C7W3eQ3VtL9xP0Js6SNLrG\n",
       "2mvCGdMuaVcNSVo4bgdemmTXdpPfTwFrgKuAU9oypwBXtOkrgWVJdk5yCLAEWF1VG4EHkxzRtnMy\n",
       "8LGedSa2dQLdzYaStCjY4ixJC0RV3ZrkIuDzwKPAvwJ/BewGXJZkObAOeF1bfk2Sy+iS60eAU6tq\n",
       "ohvHqcAFwK7A1VV1bSs/H7g4yVpgM92oHZK0KGRLHTnaktSOEqu2TdewNazPeFj7Dv5dL3xJqKpF\n",
       "9cgx62ztCGZ+tPZ0Tw6c7u96unmWD3/fW18+XZ1ti7MkSVrEfLS2+mcfZ0mSJKkPJs6SJElSH0yc\n",
       "JUmSpD6YOEuSJEl9MHGWJEmS+mDiLEmSJPXBxFmSJEnqg4mzJEmS1AcTZ0mSJKkPMybOSQ5MckOS\n",
       "LyX5YpI3t/KVSdYnubm9frpnndOSrE1ye5Kje8oPT3Jbm3dOT/kuST7Uym9M8py5OFBJkiRpe8zW\n",
       "4vww8JtV9XzgpcCvJnke3fMp31NVh7XXNQBJlgInAkuBY4Bzs+VB8OcBy6tqCbAkyTGtfDmwuZWf\n",
       "DZw1wOOTJEmLXJIpX9LWmjFxrqqNVXVLm34I+DKwf5s91V/cccClVfVwVa0D7gSOSLIvsFtVrW7L\n",
       "XQQc36aPBS5s05cDR23jsUiSJE2jpnhJW6fvPs5JDgYOA25sRb+e5NYk5yfZo5XtB6zvWW09XaI9\n",
       "uXwDWxLw/YG7AKrqEeCBJHtu3WFIkiRJc2unfhZK8nTgI8BbquqhJOcBv99mvwv4U7ouF3Nq5cqV\n",
       "j02PjY0xNjY217uUpK02Pj7O+Pj4sMOQJA1Yqma+VJHkKcDHgWuq6r1TzD8YuKqqXphkBUBVndnm\n",
       "XQucDnwVuKGqntfKTwJeUVVvasusrKobk+wE3FNVz55iPzVbrNqxdf3NhvUZD2vfwb/rhS8JVbWo\n",
       "OlRaZ2uUTH9+GVT5ILe1UMtHMabpy6ers2cbVSPA+cCa3qS59Vme8BrgtjZ9JbAsyc5JDgGWAKur\n",
       "aiPwYJIj2jZPBj7Ws84pbfoE4PqZYpIkSZKGYbauGi8D3gB8IcnNrewdwElJXkSXpn8F+GWAqlqT\n",
       "5DJgDfAIcGpPk8OpwAXArsDVVXVtKz8fuDjJWmAzsGwQByZJkiQN0qxdNUaFl/0WPrtqaKGyq4Y0\n",
       "XHbVGIXyUYxpwF01JEmSJHVMnCVJkqQ+mDhLkiRJfTBxliRJkvpg4ixJkiT1wcRZkiRJ6kNfj9yW\n",
       "JEkadd2wc9LcMXGWJEkLyHTj9Urbz64akiRJUh9MnCVJkqQ+mDhLkiRJfTBxliRJkvpg4ixJkiT1\n",
       "wcRZkiRJ6oOJsyRJktQHE2dJkiSpDybOkrSAJNkjyUeSfDnJmiRHJNkzyaokdyS5LskePcuflmRt\n",
       "ktuTHN1TfniS29q8c3rKd0nyoVZ+Y5LnzPcxStKwmDhL0sJyDnB1VT0P+CHgdmAFsKqqDgWub7+T\n",
       "ZClwIrAUOAY4N1ueWXwesLyqlgBLkhzTypcDm1v52cBZ83NYkjR8Js6StEAk2R34iap6P0BVPVJV\n",
       "DwDHAhe2xS4Ejm/TxwGXVtXDVbUOuBM4Ism+wG5Vtbotd1HPOr3buhw4ag4PSZJGiomzJC0chwBf\n",
       "T/KBJP+a5K+TfB+wd1VtastsAvZu0/sB63vWXw/sP0X5hlZO+3kXdIk58ECSPefkaCRpxJg4S9LC\n",
       "sRPwYuDcqnox8G+0bhkTqqqAGkJskrTD22nYAUiSBmY9sL6q/rn9/hHgNGBjkn2qamPrhnFvm78B\n",
       "OLBn/QPaNja06cnlE+scBNydZCdg96q6b6pgVq5c+dj02NgYY2Nj235kUo8tXfGlQRhvr9mla3wY\n",
       "fUlqR4lV26arCIf1GQ9r38G/64UvCVU1L2f6JJ8GfrGq7kiyEnham7W5qs5KsgLYo6pWtJsDLwFe\n",
       "QtcF4++BH6iqSnIT8GZgNfAJ4M+q6tokpwIvrKo3JVkGHF9Vy6aIwzpbc2b688Wwyoe57x2lfBRj\n",
       "mr58ujp7xq4aSQ5MckOSLyX5YpI3t3KHNpKk0fTrwN8muZVuVI0/BM4EXpXkDuAn2+9U1RrgMmAN\n",
       "cA1wak+2eyrwPmAtcGdVXdvKzweelWQt8BtM6goiSQvZjC3OSfYB9qmqW5I8HfgXujurfwH4RlX9\n",
       "cZK3A8+c1Hrxo2xpvVjSWi9WA79WVauTXM3jWy9eUFWnJjkReI2tF4uTLc5aqOazxXlUWGdrLtni\n",
       "vCOWj2JMA25xrqqNVXVLm34I+DJdQuzQRpIkSVpU+h5VI8nBwGHATTi0kSRJkhaZvkbVaN00Lgfe\n",
       "UlXf6r2btXXDmJfrcd6hLWlHMD4+zvj4+LDDkCQN2KyjaiR5CvBx4Jqqem8rux0Y6xna6Iaqem67\n",
       "W5uqOrMtdy1wOvDVtszzWvlJwCvaXdnXAiur6sY2tNE9VfXsKeKwv9wCZx9nLVT2cZYGyz7OO2L5\n",
       "KMY0+FE1QncH9ZqJpLm5EjilTZ8CXNFTvizJzkkOAZYAq6tqI/BgkiPaNk8GPjbFtk4Arp8pJkmS\n",
       "JGkYZhtV4+XAp4EvsCUlP41uXM/L6AbBXwe8rqq+2dZ5B/BG4BG6rh2fbOWHAxcAuwJXV9XE0Ha7\n",
       "ABfT9Z/eDCxrNxZOjsXWiwXOFmctVLY4S4Nli/OOWD6KMW19i7MPQNHIMHHWQmXiLA2WifOOWD6K\n",
       "MQ24q4YkSZKkjomzJEmS1AcTZ0mSJKkPJs6SJElSH/p6AIokSdJ8633gmjQKTJwlSdIIm240BGn+\n",
       "2VVDkiRJ6oOJsyRJktQHE2dJkiSpDybOkiRJUh9MnCVJkqQ+mDhLkiRJfTBxliRJkvpg4ixJkiT1\n",
       "wcRZkiRJ6oOJsyRJktQHE2dJkiSpDzsNOwCNniTDDkGSJGnkmDhrGjWEfZqwS5Kk0WVXDUmSJKkP\n",
       "tjhLkqShsougdhQmzpIkaQRM1UXQhFqjxa4akiRJUh9mTZyTvD/JpiS39ZStTLI+yc3t9dM9805L\n",
       "sjbJ7UmO7ik/PMltbd45PeW7JPlQK78xyXMGeYCSJEnSIPTT4vwB4JhJZQW8p6oOa69rAJIsBU4E\n",
       "lrZ1zs2WjkvnAcuragmwJMnENpcDm1v52cBZ23VEkiRJ0hyYNXGuqs8A908xa6qOR8cBl1bVw1W1\n",
       "DrgTOCLJvsBuVbW6LXcRcHybPha4sE1fDhzVf/iSJEnS/NiePs6/nuTWJOcn2aOV7Qes71lmPbD/\n",
       "FOUbWjnt510AVfUI8ECSPbcjLkmSJGngtnVUjfOA32/T7wL+lK7LxZxauXLlY9NjY2OMjY3N9S4l\n",
       "aauNj48zPj4+7DAkSQOWqtmfEJfkYOCqqnrhTPOSrACoqjPbvGuB04GvAjdU1fNa+UnAK6rqTW2Z\n",
       "lVV1Y5KdgHuq6tlT7Kf6iVXbr+uWPqwnBw7rMx7eMft3vfAloaoW1bha1tnaGtOfd3aU8lGMadTK\n",
       "RzGm6cunq7O3qatG67M84TXAxIgbVwLLkuyc5BBgCbC6qjYCDyY5ot0seDLwsZ51TmnTJwDXb0tM\n",
       "kqROkie3EY+uar/vmWRVkjuSXNfTvc6RkCRpK/QzHN2lwGeBH0xyV5I3Amcl+UKSW4FXAr8JUFVr\n",
       "gMuANcA1wKk9TQ6nAu8D1gJ3VtW1rfx84FlJ1gK/AawY2NFJ0uL0Frp6eKL+XQGsqqpD6RonVoAj\n",
       "IUnS1uoSvJgeAAAPYUlEQVSrq8Yo8LLf/LGrxvzu17/rhW8+u2okOQC4APhD4K1V9bNJbgdeWVWb\n",
       "kuwDjFfVc5OcBjxaVWe1da8FVtJ1r/tUT/e6ZcBYVf3KRBe8qrrJ7nUaFLtqLIbyUYxpnrpqSJJG\n",
       "1tnAbwOP9pTtXVWb2vQmYO827UhIkrQVTJwlaYFI8mrg3qq6manH2qc1A9sULEnbYFuHo5MkjZ4f\n",
       "B45N8jPAU4FnJLkY2JRkn6ra2G7uvrctvwE4sGf9A+hamje06cnlE+scBNzdumrsXlX3TRWMQ4hK\n",
       "2jGMt9fs7OOsJ7CP8/zu17/rhW8Yw9EleSXwW62P8x/T3dB3Vhs2dI+qWtFuDrwEeAldF4y/B36g\n",
       "qirJTcCbgdXAJ4A/q6prk5wKvLANJ7oMOL6qlk2xf+tsPcGWe0+nMlp9XBdy/13fo9nLp6uzbXGW\n",
       "pIVr4oxwJnBZkuXAOuB10I2ElGRiJKRHeOJISBcAuwJXTxoJ6eI2EtJm4AlJszSz6RIYafTZ4qwn\n",
       "sMV5vvc7PP5PzQ8fgCJ1dvzRMxZGa6rv0ezltjhLI2uYXxYkSVK/HFVDkiRJ6oOJsyRJktQHE2dJ\n",
       "kiSpDybOkiRJUh9MnCVJkqQ+mDhLkiRJfTBxliRJkvpg4ixJkiT1wcRZkiRJ6oOJsyRJktQHE2dJ\n",
       "kiSpDzsNOwBJkrSwJBl2CNKcMHGWJElzoKYoM6HWjs2uGpIkSVIfTJwlSZKkPpg4S5IkSX2YNXFO\n",
       "8v4km5Lc1lO2Z5JVSe5Icl2SPXrmnZZkbZLbkxzdU354ktvavHN6yndJ8qFWfmOS5wzyACVJkqRB\n",
       "6KfF+QPAMZPKVgCrqupQ4Pr2O0mWAicCS9s652bLrbXnAcuragmwJMnENpcDm1v52cBZ23E8kiRJ\n",
       "0pyYNXGuqs8A908qPha4sE1fCBzfpo8DLq2qh6tqHXAncESSfYHdqmp1W+6innV6t3U5cNQ2HIck\n",
       "SZI0p7a1j/PeVbWpTW8C9m7T+wHre5ZbD+w/RfmGVk77eRdAVT0CPJBkz22MS5IkSZoT2z2Oc1VV\n",
       "kqkGaxy4lStXPjY9NjbG2NjYfOxWkrbK+Pg44+Pjww5DkjRg25o4b0qyT1VtbN0w7m3lG4ADe5Y7\n",
       "gK6leUObnlw+sc5BwN1JdgJ2r6r7ptppb+IsSaNq8hf7M844Y3jBSJIGZlu7alwJnNKmTwGu6Clf\n",
       "lmTnJIcAS4DVVbUReDDJEe1mwZOBj02xrRPobjaUJEmSRsqsLc5JLgVeCeyV5C7gncCZwGVJlgPr\n",
       "gNcBVNWaJJcBa4BHgFOraqIbx6nABcCuwNVVdW0rPx+4OMlaYDOwbDCHJkmSJA1OtuS1oy1J7Six\n",
       "7ui6iwLDeK+Htd9h7nu4x+z/1PxIQlVl9iUXDuvsxW3688hCLR/FmEatfBRjmr58ujp7u28OlCRJ\n",
       "i9OWRzVIi4OJsyRJ2g7TteRJC8+23hwoSZIkLSomzpIkSVIfTJwlSZKkPpg4S5IkSX0wcZYkSZL6\n",
       "YOIsSZIk9cHEWZIkSeqDibMkSZLUBxNnSVogkhyY5IYkX0ryxSRvbuV7JlmV5I4k1yXZo2ed05Ks\n",
       "TXJ7kqN7yg9Pclubd05P+S5JPtTKb0zynPk9SkkaHhNnSVo4HgZ+s6qeD7wU+NUkzwNWAKuq6lDg\n",
       "+vY7SZYCJwJLgWOAc7PlGcrnAcuragmwJMkxrXw5sLmVnw2cNT+HJknDZ+IsSQtEVW2sqlva9EPA\n",
       "l4H9gWOBC9tiFwLHt+njgEur6uGqWgfcCRyRZF9gt6pa3Za7qGed3m1dDhw1d0ekUZBk2pe02Jg4\n",
       "S9IClORg4DDgJmDvqtrUZm0C9m7T+wHre1ZbT5doTy7f0MppP+8CqKpHgAeS7Dn4I9BoqWle0uKy\n",
       "07ADkCQNVpKn07UGv6WqvtXbMlhVlWReMp6VK1c+Nj02NsbY2Nh87FaSttJ4e83OxFmSFpAkT6FL\n",
       "mi+uqita8aYk+1TVxtYN495WvgE4sGf1A+hamje06cnlE+scBNydZCdg96q6b6pYehNnSRpdY+01\n",
       "4Yxpl7SrhiQtEO3GvvOBNVX13p5ZVwKntOlTgCt6ypcl2TnJIcASYHVVbQQeTHJE2+bJwMem2NYJ\n",
       "dDcbStKikKodo49SktpRYt3RdefJYbzXw9rvMPc93GP2f2p+JKGq5vxOqiQvBz4NfIEtf1inAauB\n",
       "y+haitcBr6uqb7Z13gG8EXiErmvHJ1v54cAFwK7A1VU1MbTdLsDFdP2nNwPL2o2Fk2Oxzl4gZj4n\n",
       "TDdvsZWPYkyjVj6KMU1fPl2dbeKsJzBxXgz77fbt/9T8mK/EeZRYZy8cJs79lI9iTKNWPooxbX3i\n",
       "bFcNSZIkqQ8mzpIkSVIfTJwlSZKkPjgcnSRJ8kmAUh+2q8U5ybokX0hyc5LVrWzPJKuS3JHkuiR7\n",
       "9Cx/WpK1SW5PcnRP+eFJbmvzztmemCRJ0rby6YDSTLa3q0YBY1V1WFW9pJWtAFZV1aF043uuAEiy\n",
       "FDgRWAocA5ybLV9vzwOWV9USYEmSY7YzLkmSJGmgBtHHefK1nWOBC9v0hcDxbfo44NKqeriN+Xkn\n",
       "cER7itVuVbW6LXdRzzqSJEnSSBhEi/PfJ/l8kl9qZXtX1aY2vQnYu03vx5ZHttKm95+ifEMrlyRJ\n",
       "kkbG9t4c+LKquifJs4FVSW7vnVlVlWRgHaRWrlz52PTY2BhjY2OD2rQkDcz4+Djj4+PDDkOSNGAD\n",
       "e3JgktOBh4Bfouv3vLF1w7ihqp6bZAVAVZ3Zlr8WOB34alvmea38JOCVVfUrk7bvU6jmiU8OXAz7\n",
       "7fbt/9T88MmB2hFMX/cvjCfB+VS8YZePYkzz+OTAJE9Lslub/j7gaOA24ErglLbYKcAVbfpKYFmS\n",
       "nZMcAiwBVlfVRuDBJEe0mwVP7llHkiRJGgnb01Vjb+CjbWCMnYC/rarrknweuCzJcmAd8DqAqlqT\n",
       "5DJgDfAIcGpPc8SpwAXArsDVVXXtdsQlSZIkDdzAumrMNS/7zR+7aiyG/Xb79n9qfthVQ6Nk5ged\n",
       "LNxL73ZDGHb5KMa09V01fHLgiPIJTpKkuTNdEiFpJibOI22Yra+SJEnqNYgHoEiSJEkLnomzJEmS\n",
       "1AcTZ0mSJKkPJs6SJElSH7w5UJKkBcjRmaTBM3GWJGnBctg5aZBMnKVFbFgtUj4YQ5K0IzJxlha1\n",
       "YT0tUZKkHY83B0qSJEl9MHGWJEmS+mBXDUmSdmCOniHNHxNnSZJ2eI6eIc0Hu2pIkiRJfTBxliRJ\n",
       "kvpgVw1JknYA9mWWhs/EWZKkHYZ9maVhsquGJEmS1AcTZ0mSJKkPdtWQJGmE2JdZGl0mzpIkjRz7\n",
       "MkujaGS6aiQ5JsntSdYmefuw45EkTc86e/slmfIlaXSNROKc5MnAXwDHAEuBk5I8b1u3Nz4+PqDI\n",
       "tt/oxDI+7ACa8WEH0GN82AE048MOoMf4sAMARun/ZrRiGRXW2YNUU7xgVP4XR8v4sAPoMT7sAJrx\n",
       "YQfQjA87gB7jc7r1kUicgZcAd1bVuqp6GPggcNy2bmyQFd90LQL9vo488shtWm/wxudgm9tifNgB\n",
       "9BgfdgDN+LAD6DE+7ACAxZ5I7RBGts7eXnMRy7bV84OPY8c3PuwAeowPO4BmfNgBNOPDDqDH+Jxu\n",
       "fVQS5/2Bu3p+X9/KRsRULQL9vk7fxvWkhWu2L45nnHHGdn9p9TL4nBrxOns4Zv6bs56XFoJRSZz7\n",
       "qkH6PTEO8qQraS7M1RdOv5DOk22usz/xiU/MdWxbZZDnj45/d9JClqrh/1MneSmwsqqOab+fBjxa\n",
       "VWf1LDP8QCVpG1XVgvkmbp0taaGbrs4elcR5J+B/A0cBdwOrgZOq6stDDUyS9ATW2ZIWq5EYx7mq\n",
       "Hknya8AngScD51sBS9Joss6WtFiNRIuzJEmSNOpG5ebAOZPkbUkeTbLnkPb/riS3JrklyfVJDhxG\n",
       "HC2W/5nkyy2ev0uy+5DieG2SLyX5XpIXD2H/I/HghiTvT7IpyW3DiqHFcWCSG9pn8sUkbx5iLE9N\n",
       "clP7f1mT5N3DiqXF8+QkNye5aphxLCbW2Y+LxTp7SwxDr7dHpc5usYxEvb0Y6+wFnTi3Cu9VwFeH\n",
       "GMYfV9UPV9WLgCvohgsYluuA51fVDwN3AKcNKY7bgNcAn57vHWfAD27YTh9ocQzbw8BvVtXzgZcC\n",
       "vzqs96Sqvgsc2f5ffgg4MsnLhxFL8xZgDQ6NMC+ss59g0dfZMFL19qjU2TAi9fZirLMXdOIMvAf4\n",
       "nWEGUFXf6vn16cA3hhjLqqp6tP16E3DAkOK4varuGMa+GfCDG7ZHVX0GuH8Y+54Ux8aquqVNPwR8\n",
       "GdhviPF8u03uTNd/9r5hxJHkAOBngPcBC2ZEjBFnnf34WKyzOyNRb49KnQ2jVW8vtjp7wSbOSY4D\n",
       "1lfVF0Yglj9M8jXgFODMYcfTvBG4ethBDIEPbphBkoOBw+hO0sOK4UlJbgE2ATdU1ZohhXI28NvA\n",
       "o7MtqO1nnT2rxVpng/X2jIZdby+2OnskRtXYVklWAftMMet36S5pHd27+BDieEdVXVVVvwv8bpIV\n",
       "dB/sLwwrlrbM7wL/UVWXDDOOIfGS+zSSPB34CPCW1oIxFK2F7UWtP+cnk4xV1fh8xpDk1cC9VXVz\n",
       "krH53PdCZp299bG0ZRZznQ3W29MahXp7sdXZO3TiXFWvmqo8yQuAQ4Bb0z3N6QDgX5K8pKruna84\n",
       "pnAJc9xiMFssSX6e7lLGUcOMY4g2AL03+xxI13qxqCV5CnA58DdVdcWw4wGoqgeSfAL4EWB8nnf/\n",
       "48CxSX4GeCrwjCQXVdXPzXMcC4p19tbHYp0NWG9PadTq7cVSZy/IrhpV9cWq2ruqDqmqQ+j+wV48\n",
       "FxXwbJIs6fn1OODm+Y6hJ5Zj6C5jHNc69I+C+e47+nlgSZKDk+wMnAhcOc8xjJR0mcr5wJqqeu+Q\n",
       "Y9kryR5tele6G8Xm/X+mqt5RVQe2+mMZ8CmT5rljnT1tLNbZHevtSUal3l6MdfaCTJynMMzLPO9O\n",
       "clvr/zMGvG2Isfw53c0uq9pwLecOI4gkr0lyF92dwJ9Ics187buqHgEmHtywBvjQsB7ckORS4LPA\n",
       "oUnuSjJnl4Nn8TLgDXR3Q9/cXsO6c3xf4FPt/+Um4Kqqun5IsfTyUvH8ss7uLPo6G0an3h6hOhtG\n",
       "p95edHW2D0CRJEmS+rBYWpwlSZKk7WLiLEmSJPXBxFmSJEnqg4mzJEmS1AcTZ0mSJKkPJs6SJElS\n",
       "H0ycJUmSpD6YOEuSJEl9+L9G/W/pjiteVwAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0xca33ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# histograms\n",
    "n = np.random.randn(100000)\n",
    "fig, axes = plt.subplots(1, 2, figsize=(12,4))\n",
    "\n",
    "axes[0].hist(n)\n",
    "axes[0].set_title(\"Default histogram\")\n",
    "axes[0].set_xlim((min(n), max(n)))\n",
    "\n",
    "axes[1].hist(n, cumulative=True, bins=50)\n",
    "axes[1].set_title(\"Cumulative detailed histogram\")\n",
    "axes[1].set_xlim((min(n), max(n)));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAX4AAAD7CAYAAABt0P8jAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xd4lMX2wPHvpBFCx9AkAipgRZoigkhQSgAhKEWKqIgK\n",
       "UizXHxdEUfSKXZR7RaVJV0RARIN0QlcwQIL00CSEBAgJJCQhbX5/zCIRAym7b3Y3ez7Psw9b3n3n\n",
       "EJaT2XlnziitNUIIITyHl7MDEEIIUbwk8QshhIeRxC+EEB5GEr8QQngYSfxCCOFhJPELIYSH8XF2\n",
       "AJcopWReqRBCFJLWWhX2PS7V49dau9TtzTffdHoMElPJiclV45KY3DemonKpxC+EEMJ6kviFEMLD\n",
       "SOK/huDgYGeH8A8SU8G4YkzgmnFJTAXjijEVlbJnnMiRlFLaVWIRQgh3oJRCu/vFXSGEENaTxC+E\n",
       "EB5GEr8QQngYSfxCCOFhJPELIYSHkcQvhBAeRhK/EEJ4GEn8QgjhYSTxCyGEh5HEL4QQHkYSvxBC\n",
       "eBhJ/EII4WEk8QshhIeRxC+EEB7GrsSvlPpaKRWvlNp1jWP+q5Q6qJSKVEo1tqc9IYQQ9rO3xz8d\n",
       "CLnai0qpTkBdrXU94DngSzvbE0IIYSe7Er/WegOQeI1DugIzbcf+BlRUSlWzp00hhBD2sXqMvyZw\n",
       "PNfjGCDI4jaFEEJcg08xtHHltmBX3V9x7Nixf90PDg4uUXtcCiGEvcLDwwkPDwdgY9Txax98DXbv\n",
       "uauUqgP8pLVukMdrXwHhWut5tsf7gNZa6/g8jpU9d4UQogAOHYLb3mtH5rRVLrnn7hLgCQClVHMg\n",
       "Ka+kL4QQomDS06Hj4PWUr324yOewdzrnt8Bm4Bal1HGl1NNKqUFKqUEAWuulwGGlVDQwCRhiT3tC\n",
       "COHpXv6XJrHxGD7u8kaRz2H3UI+jyFCPEEJc27x58K/P1xDQczD7hu/B19vXJYd6hBBCOMCePTBs\n",
       "uKbqY2N4q82b+HgVfW6OJH4hhHBxKSnQowc8MXYFGV6J9L6zt13nK47pnEIIIYpIa3j2WWh+Xw7r\n",
       "fEfzVsu38Pbytuuc0uMXQggXNnEi7NsHDw1biELR/fbudp9TevxCCOGiNm+G//wH1m/MInT5GP7b\n",
       "8b94Kfv769LjF0IIFxQXB716wddfw8bkmdQoV4N2N7VzyLmlxy+EEC4mM9Mk/WeegYc6pFP/f28x\n",
       "v+d8lCr0zM08SY9fCCFczL//DeXKwRtvwJfbvqRxjcY0D2rusPNLj18IIVzInDnw00+wbRucz0ji\n",
       "/U3vs/qJ1Q5tQxK/EEK4iB074OWXYc0aqFQJXl31AV3qd+HOqnc6tB1J/EII4QLOnIFHHoEvvoAG\n",
       "DeD4ueNM3j6ZqMFRDm9LavUIIYSTZWVBhw5wzz3w/vvmuQE/DuD6stcz7qFxV32fUqpItXqkxy+E\n",
       "EE42YgT4+MA4W46PjItk6cGlHBh2wJL2JPELIYQTzZgBYWHw22/gbavEMHLVSF5v9ToV/CtY0qYk\n",
       "fiGEcJJffzVTN9etMxdzAZZFL+NQ4iEG3T3IsnZlHr8QQjjBiROm4ubXX8Ntt5nnsnKyeGXFK3zS\n",
       "/hP8vP0sa1sSvxBCFLO0NOjWDYYOhYcfvvz85IjJVC9bnS71u1javszqEUKIYqQ19O1rxvNnz4ZL\n",
       "VRgS0xK5deKtrOy/kruq3VWgc8msHiGEcAPjxsHhw2ZcP3fpnXfWv0PoLaEFTvr2kMQvhBDFZNEi\n",
       "mDzZzODx97/8/MGEg8yMnMnuIbuLJQ5J/EIIUQwiImDQIFi+HGrU+PtrLy1/iZEtR1KtbLViiUUS\n",
       "vxBCWCwmBkJDTW+/SZO/v/bzgZ85dPYQPzz2Q7HFI4lfCCEslJICXbrACy+YWjy5pWel89Kyl5jY\n",
       "aaKl0zevJNM5hRDCItnZ0K+f6eWPGPHP18dvGc+dVe+kQ90OxRqX9PiFEMIi//d/kJwM33//9xk8\n",
       "YKpvjt8ynq3Pbi32uCTxCyGEBf73P3Mhd9Mm8MtjFOeVFa8w5J4h3FTppmKPTRK/EEI42E8/wXvv\n",
       "webNl2vw5LY8ejkRJyOY2W1m8QeHJH4hhHCoiAh4+mlTcbNOnX++npaZxtClQ/m84+eU9i1d7PGB\n",
       "XNwVQgiHOXLEzOCZPBmaNcv7mPc2vkej6o3oWK9j8QaXi/T4hRDCARISoGNHGD36n9M2LzmQcIAv\n",
       "tn3BzsE7ize4K0iPXwgh7JSWBl27mtuwYXkfo7VmSNgQXmv1GkHlg4o3wCtI4hdCCDtkZ8Pjj0Ot\n",
       "Wpf3y83LrMhZnE07y/B7hxdfcFchQz1CCFFEWsPw4ZCUBEuXgtdVutKnLpzi36v+zS/9fsHHy/lp\n",
       "1/kRCCGEmxo3zkzZXL8eSpW6+nEvL3+ZJ+56giY1mlz9oGIkiV8IIYpg6lSzbeKmTVC+/NWP++Xg\n",
       "L/wa8yu7nt9VfMHlQxK/EEIU0uLFMGaM2UzlyhLLuaVkpPB82PNM6TKFAN+A4gswH7L1ohBCFEJ4\n",
       "OPTqBb/8Ak2bXvvYoWFDSc1KZXrodEtika0XhRDCYtu3m6T/3Xf5J/21R9by4/4fXWqI5xKZzimE\n",
       "EAVw4AA8/DBMmgRt2lz72JSMFAYuGcikhydRqXQexXqcTIZ6hBAiH3/+CQ88AG++CQMG5H/88KXD\n",
       "OZ9x3vIibDLUI4QQFoiPh7Zt4eWXC5b0w4+G88O+H1xyiOcSGeoRQoirSEyE9u3NytwXX8z/+PMX\n",
       "z/PU4qdcdojnEhnqEUKIPCQnQ7t20LIlfPzxP3fQysuAHwfg5+XHpC6TrA8QGeoRQgiHuXABOneG\n",
       "xo0LnvQX71vMhmMbnF55syAk8QshRC7p6dCtG9x4I0ycWLCkH58Sz/Nhz7Ow10LK+pW1Pkg7yVCP\n",
       "EELYZGRA9+4QEABz54JPAbrGWmu6zutKg6oNePehd60PMhcZ6hFCCDtkZprFWT4+MGdOwZI+wMRt\n",
       "E4lLiWNhr4XWBuhAkviFEB4vMxP69IGcHFiwAHx9C/a+qPgo3lr3FlsGbsHP28/aIB3IbRK/1gUb\n",
       "axNCiMLIyjLTNdPSYNEi8Ctg/k7NTKXPwj580v4T6laua22QDuY28/hHjDBX14UQwlGysqBfPzh/\n",
       "HhYuvHZN/Su9svwVGlZrSP+7+lsXoEXcpsf/0kumPkZ2Nowc6exohBDuLjMT+vaF1FT44Qfw9y/4\n",
       "e+fvns+KwyvY/tx2lBsORbhN4g8KMuVQH3zQJP/Ro50dkRDCXWVmQu/ecPGiGd4pTE//YMJBhi4d\n",
       "yrJ+y6jgX8G6IC3kNokfoGZNk/wv9fzHjHF2REIId3PxIjz2mLmQW9jhnfSsdHot6MXY1mNpen0+\n",
       "dZldmN1j/EqpEKXUPqXUQaXUPwZhlFLBSqlzSqkdttvr9rRXo4ZJ/t99B6+9Zi76CiFEQaSlmcVZ\n",
       "Pj5m9k5hkj7AS8teol7legy5Z4g1ARYTu3r8Silv4HOgLXAC2KaUWqK13nvFoeu01l3taSu36tVN\n",
       "8m/XzozPjR8vM36EENd24QJ07Wryx8yZBZ+nf8ncqLmsOryKiOci3HJcPzd7e/zNgGit9VGtdSYw\n",
       "DwjN4ziH/5QCA2HNGrPD/fPPm69tQgiRl3PnICQEateGWbMKn/Qj4yJ5aflLLHpskduO6+dmb+Kv\n",
       "CRzP9TjG9lxuGmihlIpUSi1VSt1uZ5t/qVQJVq6EPXvgiSfMBRshhMjtzBkzKaRRI5g6Fby9C/f+\n",
       "xLREus/vzoSQCdxV7S5rgixm9l7cLcgI+3bgBq11qlKqI7AYqJ/XgWPHjv3rfnBwMMHBwfmevHx5\n",
       "WLYMevSAnj1h3rzCTcsSQpRcsbFmSLhbN3jnncIPCefoHPot6keX+l3o26CvNUEWQnh4OOHh4Xaf\n",
       "x64ibUqp5sBYrXWI7fGrQI7W+oNrvOcI0FRrffaK5+0q0paRYVbfnT0LixdDWdcvkCeEsNChQ2YT\n",
       "leeeK/ranzfWvsG6Y+tY1X8Vvt4FrONQjIpapM3eoZ7fgXpKqTpKKT/gMWDJFYFVU7YrIUqpZphf\n",
       "Nmf/eSr7+PnBt99CnTrw0EPm650QwjNFRpo9ckeMKHrS/37398yKnMX8HvNdMunbw67Er7XOAoYB\n",
       "y4E9wHda671KqUFKqUG2w3oAu5RSO4HPgN72tHkt3t4wZYoZz2vVCo4fz/89QoiSZeNG09P/9FMY\n",
       "PLho59h+cjtDlg5hce/FVCtbzbEBuoASW49//HiYMMGM/992m8NOK4RwYT//DE8/bWrpt2tXtHPE\n",
       "pcTRbEozPu3wKd1v7+7YAB1M6vFf4V//MlM+27QxS7JbtHB2REIIK02dalbz//wzNGtWtHOkZabx\n",
       "yHePMLDxQJdP+vYosT3+S5Ytg/79Ydo0s3hDCFGyaG1m7MyYAb/8AvXznDOYvxydQ+8FvfH28mbu\n",
       "o3PxUq5fvFh6/FcREgJLl0JoKJw8CYMG5f8eIYR7yMqCYcNg61bYtMmsyi2q0atHE5scy6onVrlF\n",
       "0rdHiU/8APfcA+vXQ8eOcOyY6R14lex/VyFKvJQUU2wtO9uUcClfvujnmhIxhUV7F7F54Gb8fUr+\n",
       "QiCPSX9168KWLeYD0q+fqdAnhHBPJ09C69amaONPP9mX9H85+Atj1o4hrG8YgQGBjgvShXlM4gdz\n",
       "sXf1avP1sF07SEhwdkRCiMLatQvuuw8eecRM3y7o/rh5+S3mN55c/CSLey+m3nX1HBeki/OoxA9Q\n",
       "urQp6dy8ubnt3+/siIQQBbVsmVmgOW4cvP66fVV595/ZT+i8UKaHTqd5UHPHBekGPC7xgxnf//BD\n",
       "s6LvgQdg7VpnRySEyM/EiTBggNkmsV8/+84VmxxLyNwQ3m/7Pp3rd3ZMgG6kxE/nzM+aNdCnj7ng\n",
       "++yzxd68ECIfmZlmz+01ayAsDG66yb7znUk9Q+sZrXniricYeb97b+Bd1OmcHp/4AQ4cgC5doEMH\n",
       "s+K3sLW6hRDWOHvWVN318zOVdyvYWQr/XPo5Hpz1IB1u7sC7D73rmCCdyFlF2kqE+vXht9/ML4CO\n",
       "Hc2HTQjhXHv3wr33QuPGZjWuvUn/QsYFOn/TmZY3tGTcg+McE6SbksRvU7Gi+XA1aGCWe//xh7Mj\n",
       "EsJz/fijuf722mvw8ceF3zzlSmmZaYTOC6XedfX4LOQzt9860V4y1JOH2bNNrZ+vvoLuJbdchxAu\n",
       "JycH3n7blFhZsMD0+O2VlplG13ldqVqmKrO6zcLby87fIi5ExvgdLCLCJP2+feE//7G/xyGEuLak\n",
       "JHjySbO+ZsEC+8ovXHKpp1+lTJUSl/RBxvgdrmlT2LbNjP2HhMDp086OSAjH+O03M4lh7FhTt379\n",
       "emdHBFFRprRKrVpm9o6jkn6377oRGBDIzG4zS1zSt4ck/muoUgWWL4e77za3335zdkRC2Cc11WxN\n",
       "+q9/mcT/3HNmQkNsrPNimjPHLMoaOxb+9z8zg8deyReT6Ti3I1UCqjDrkVn4eMlUvdxkqKeAfvzR\n",
       "zPMfM8ZUA/Twa0PCTUVFQaNGEB1t5sOfP28mNsyfDz16FG8s6enw4oumh79wIdx1l2POm5iWSMe5\n",
       "HWlYrSFfPvxlia60KUM9FgsNNUXepk+HXr3g3DlnRyRE4d11F2zefHkRVEyM+bNeMZepiY429XaS\n",
       "ksz1NEcl/VMXTtFmZhvuC7qPrx7+qkQnfXvIT6UQbr7Z/KepUsVcA4iIcHZEQhRe81xlad57D155\n",
       "BRo2LL725883O+I9+6xZlGVPZc3cDicepuXXLel6S1fGdxjv8VM2r0WGeorou+/MkM/o0WY5uXzG\n",
       "hLuZNg0OHoT33y+e9lJTzdBOeLhJ+E2bOu7cO+N20vmbzrzW6jWG3DPEcSd2cTLUU8wee8xc7J03\n",
       "Dx5+GE6dcnZEQhRcWJgpVvj++2ZvimPHrG1v1y4zayctDbZvd2zSX3tkLe1nt2dCyASPSvr2kMRv\n",
       "h5tugo0bzfhk48amZKwQrm7dOoiPh06dIC7ObE168qQ1beXkwIQJ8OCDMGKEWRxZrpzjzj9z50x6\n",
       "L+zNdz2+o8ftxXx12o3JUI+DrF1rFp906wYffGDq/gvhag4fNrN6UlIuP6eUmaxQtqxj2zp50pRR\n",
       "TkoyUzbr1nXcubXWvBn+JnOi5hDWN4zbqtzmuJO7ERnqcbI2bSAy0gz53H037Njh7IiEMxw9Ci+8\n",
       "YIb/vv32769NnGh2frNKRIS53vTKK2bVeWKiGcoZNQr69zdJ/9IUzpycy7fsbMcn/YULzbfge++F\n",
       "DRscm/TTMtPot6gfKw+v5NdnfvXYpG8PWdXgQJUqmf/s33xjSjwPHw6vviplnj3JRx+ZoY2JE03S\n",
       "7dPn8muzZpmZYVcaONCMexfGhAmmiNklhw+bqcaff24eP/WUmb0zc6ZJ7q1aQZMm8PLLhf4rFUpi\n",
       "ovncb91qFoo1d/DGVjHnY+g2rxv1r6vPmifWUNpXvloXidbaJW4mlJLj+HGtO3TQ+p57tN6929nR\n",
       "iOKwcaPW335r7oeEaN2z5+XXUlK09vXV+quvrGl7yBDTxiU9emjdvLm5f/y41iNGaH32rDVtX7J0\n",
       "qdZBQVoPH671hQuOP//GYxt1jY9r6A82fqBzcnIc34AbsuXNwufborzJiltJS/xaa52TY/6jBwZq\n",
       "/e67WmdmOjsiYaW4OK0vXtQ6JkZrb2+tFy++/NqKFVorpfWePda0feTI3x/XrKn1669b09aVzp7V\n",
       "+sknta5TR+tVqxx//pycHD1x60Rd5cMqOuxAmOMbcGNFTfwyxm8hpWDQIDP2Gh5uxjujopwdlbBK\n",
       "tWqmzsz8+WbmSqdOl1/bsMEs/LvNouHoOnUu39+/39TeadPGmrZyW7LE7GFRtqyZsvnQQ449f0pG\n",
       "Co//8DiTIiax6elNdKrXKf83uaDwo+F8u+tbpm2fxuOLHmf14dVOjUdGn4tBrVpmquf06dC2LTzz\n",
       "jKn5IzN/Sqbly03S9fW9/Nz69WacPS/PPVf4yQDjx1/9fGvWmF9ALVpcfu7ShV1HiYszY/mRkTB3\n",
       "LrRu7bhzX7L39F56fN+De2vey68Df3Xr8fye3/fkk/afMLDJQCr6V6TrvK6c+r9TlPEr45yAivI1\n",
       "wYobJXCoJy+xsWbst25drVevdnY0wgq33ab1qFGXH6ena126tNYTJljTXmqqGcPftcs8fuQRrZs1\n",
       "u/x6drbWgwc7pq3sbK2nTNG6ShWtR482bTtaTk6OnhIxRQd+GKinRkx1fANOsPvUbn0hw1z4mP/H\n",
       "fO33Hz+dcjEln3fljyIO9UiPv5jVqGGGAn76ycy8aN3abC1XrZqzIxOOUru22UzkklGjTCVKK3rF\n",
       "YBZgffyxWQ3r42MKoFWsePn1cePMZ81eUVHw/PNm+ufKldbU90lKT+K5n55jf8J+1j+1vsRM1by9\n",
       "yu1/3f9h3w+MbT3Web19ZAGXU6WkmN29vv4a3nrLXA+Qnb7c3/79ZjivUSMICDCF/XbvhrNnrWkv\n",
       "IcGsig0MNGUY3ngDhgwBf38z5BMaat/Ye3Ky+XzOmgXvvGP+bl4WXB1cfXg1Ty95mq71u/JR+4/w\n",
       "9/F3fCNOtDNuJ6sPr2Z/wn4mhExwyNCVbL3oxnbvNv9Rk5PNRhQtWzo7IuEoWptveSEhMGOGs6Mp\n",
       "HK3N+P3IkWbh2YcfQtWqjm8nNTOVkStHsnj/YqZ2mUqHuh0c34gLmRIxhUkRk1j31Dq7e/2ycteN\n",
       "3XGHmfXz739D797w+ONw4oSzoxJF0afP34dAFi82i5pefdV5MRXF9u1mgdhnn5n9b2fMsCbprz+2\n",
       "nkZfNSIxPZGowVElMun/GvMr1T+uzrEkUwmvVe1WbD+5neWHljstJkn8LkIpk/T37jWzgBo2hLff\n",
       "NqVshftYvRqCg8392Fj4v/8zSfOWW5wZVcHFxpr6Op06mTIPv/1mNkxxtHPp53j+5+fpu7AvH7b7\n",
       "kDmPzqFS6UqOb8gF+Hj5cGfVO6lRrgZg9g3w8/ajUfVGTotJhnpc1NGj5qLgpk3m4tzjj1szrioc\n",
       "a9Ei2LYNsrLMlMcXXjDliF3dhQtmiuhnn5kNUl59FSpUcHw7Wmt+2PcDLy57kU51O/FBuw+o6F8x\n",
       "/ze6ublRc4m/EI+X8mLjnxsZfPdg2t7U1u7zyhh/CbV5sym6lZZmar906CCbvgjHycoyG7K89ZaZ\n",
       "dTRunGPn++d2MOEgw38ZTsz5GL7o/AUP1H4g/zcVwNGko4zfMp7DiYfp16AffRpcLpA0cetEFu9f\n",
       "zMr+Kx3S1pUiYiOYHTUbb+XN0XNHmdplKpMiJpGUnsSJ5BO8FfwWN1Wy6AdK0RO/TOd0cS1amOS/\n",
       "eLGpvFizJrz7rlkFLERR5eSYCppjxpjP1JIlpqqsFZIvJvP+xveZFDGJV+9/lRfufQFfb9/831hA\n",
       "H236iAkdJzBx60Te3/T+3xL/rKhZ3Fzpn5XxBv44kO1xhauMNyFkwt9+WR1OPMz0ndP5vJOpjPfU\n",
       "4qdoPq05M7vNJEfn0Gp6K5pUb8LL91lcGa8IJPG7AaXgkUegSxez+rdnTzNV8O23zZ9CFJTWZt7/\n",
       "66+bqcMTJkD79tZ8i8zOyWb6zum8sfYN2t7UlsjBkdQsX9OhbWz6cxOtarfCx8uHZYeWcct1ly+m\n",
       "XMi4wI6TO3i60dP/eN+00Gl2t/3J5k/4sN2Hl9vLvEDl0pVpHtScmPMxvHLfKzzV6Cm727FEUVZ9\n",
       "WXHDQ1buOkJamlkFWr261t27a71zp7MjEq4uJ0frsDCzoveOO7RetMg8Z01bOTrsQJhu+GVD3XJa\n",
       "S701Zqs1DWmt45Lj9MWsizrmXIz2fstbL957uTLeiugVWo1Ves8payrjHUk88rfHNT+pqV9fXUyV\n",
       "8WyQlbuew9/fXDQcOBAmT4aOHc3Qz+uvO3YvU+H+cnLg55/Nwqu0NLO4q3t36yYKbPxzI6+ufpWE\n",
       "1ATGPTiObrd2Q1l4UapaWbPkff7u+ZQrVe5vRdw2/LmBKmWqWLb6t07FOn/d339mP7HJsbS5sRgq\n",
       "4zmAJH43VqaM2Vhj8GCYMsVs+3j77WY2UHCwXAT2ZFlZ8N13ZkKAry+MHg2PPmptwn973dscSDjA\n",
       "2OCx9L+rP95exbcMffmh5bSp0+Zv1w7WH1tPq1p5V7J77qfn2BFXuMp449uPp1XtvM+35sga/Lz9\n",
       "aHHD5cp4hxMPW3ph1y5F+ZpgxQ0Z6rHbxYtaT5umdf365iv9/PmyB4CnOX9e608/NbXxW7fWetky\n",
       "a4d0Vh1apdvMaKNv/OxGPTViqr6YddGaxvJx2+e36VErL1fGS89M16XfKa0n/GpNZbzUjFQ9YsUI\n",
       "vSveVMZ7ZN4jutmUy5XxsnOy9eCfHFQZ7xqQoR7h5wdPP202fV+yxMzLHjECXnzRPG/FvGzhGo4d\n",
       "M9s9Tptm6vLMm2fdzK+snCwW7FnAR5s/MuUWWo6kX4N+Dp2pU1i1K9YmIe1yZbxRq0aRnpVO69rW\n",
       "VMZbenApH2/+mKY1muLj5UP02ei/rUcYt36c617YRebxl3hbt8Knn5r9APr0gaFDTYkI4f60hnXr\n",
       "4L//NX8+8YS59nPjjda0l5CawNTtU/ni9y+oXaE2I1qMoHP9zngp568s3H9mP8/89AyNqjUiwDeA\n",
       "zTGb2X1qN2dHWlMZLyE1gRErRxAYEIiX8uKN1m8wJGwI/j7++Hn7EXpLKA/d5OBdafIgC7jENcXG\n",
       "mgvBkybBrbeazT8efRRKlXJ2ZKKwzp41lTInTzaPhw835RXKlnV8W1prtp7YyuSIySzat4jQW0IZ\n",
       "1mwYd19v0aR/B9BaU+OTGoTUDWFGtxnODsdSkvhFgWRkwI8/mqQRGWkSxoABcOedzo5MXEtOjink\n",
       "N3262cuhc2dTxrtVK2su4iekJvDNrm+Ysn0KqZmpPNPkGQY2HkiVMlUc35id+izsw57Te4gcHAnA\n",
       "D3t/oPfC3kQNjuKWQDcpklREkvhFoUVHmzHh2bOhenWzWcdjj5m9YYVrOHgQ5syBmTPNNZoBA0zd\n",
       "psBAx7eVnpVO2IEwZkfNJvxoOJ3qdeKZJs8QXCfYJYZzrqbqR1Xpc2cfJnScQGxyLK2mt+KdNu/8\n",
       "bQVvSSWJXxRZdrapKjljBoSFmf0A+vY1G3iUK+fs6DxPbCx8/72phf/nn9Crl/ml3Lix43v36Vnp\n",
       "rDi0gvm75xN2MIzG1RvT/67+dL+9O+VLlXdsYxZZtHcR205sIysni7gLcbzQ7AXuqekGlfEcQBK/\n",
       "cIiUFDMU9M03sGEDPPgg9OhhykXIrCDrnDhhKnvOn2825unSxfzyfeghs52iI51NO8vSg0tZsn8J\n",
       "Kw6toFH1RvS8vSeP3vboX6WDhXuQxC8cLjHRjCcvWGDGl5s3h65dTVKqXdvZ0bk3rc0etkuWmF+0\n",
       "R46Yn2vPntC2rWMvumfnZPN77O8sP7Sc5YeW88epP3jwxgfpWr8rnet3pmoZC3ZYEcVCEr+wVEoK\n",
       "rFhhElVYmLkOEBJibq1aQWn7tw8t8c6ehTVr4JdfzPRaf3+T7ENDzc/QUT37rJwsIuMiWXdsHWuP\n",
       "rmXDsQ0ElQ8ipG4IHW7uQKvarUrcfraeShK/KDbZ2WZrvuXLTRKLjDSbjTz4oCkVcc89Jql5uqQk\n",
       "s5FOeLhJ+AcPwv33m1+WHTtCvXqOaSc2OZbfY39n64mtbD6+mW2x26hVoRata7cmuE4wrWu3/qum\n",
       "jShZnJb4lVIhwGeANzBVa/1BHsf8F+gIpAJPaa3/USRDEr/7Sk421wNWr4b162HPHnMhsmVLaNbM\n",
       "3IKCSnbtoJwc2L/fbFW4datJ+IcPm7/7Aw+Ysfpmzczq6qLKyM7gYMJBdp3aRWRcJFGnothxcgcZ\n",
       "2RncU/Me7q5xNy1uaEHzoOYldhtD8XdOSfxKKW9gP9AWOAFsA/porffmOqYTMExr3UkpdS8wQWvd\n",
       "PI9zSeIvIVJSTALctMlsQ7h1q0n6TZqY/QMaNYIGDaBuXVNAzN2kppq9kXftgh07YOdOcwsMvPyL\n",
       "rkUL8/ct7N8vMzuTE8knOJJ4hINnDxJ9NpqDZw+y9/RejiYdpVaFWtxZ9U4aVmtIw+oNaVS9EbUr\n",
       "1La0AqbusDd9AAAQZ0lEQVRwXc5K/PcBb2qtQ2yPRwFord/PdcxXwFqt9Xe2x/uA1lrr+CvOJYm/\n",
       "hNIajh83STIy0vz5xx8QE2O2+bv1VvNLoG5duPlmc+E4KMi5q4pTUsxUymPH4NAhM0wTHW0S/smT\n",
       "UL++KX3RuLG5NWp07bn1mdmZJKQlcPrCaeIvxBOfEk/8hXhik2OJOR/DieQT/HnuT04mn6R62erU\n",
       "qViHepXrUbdyXepWrsttVW6jXuV6lPKRpdbiMmdtvVgTOJ7rcQxwZWmovI4JAuIRHkEpqFXL3EJD\n",
       "Lz+fng4HDphkeugQbNliFisd+zOH2LgsKl+XTfXrs6hSLYeq1bKpfF0OFSvlULGipnwFTZkyUDpA\n",
       "ExCgKVXK9K79/Ex7l7oQOgcuXoTMTLh4UZNyQXMhVZOSokk6p0lK0pxNzOFsYg6nTudw+kwOp85k\n",
       "czEji+o1M6lWI4saQZlUr5nB3Xdn0On6i1QMTCdTp5OWmUZqZiqbMy+wamcqyReTSc5I5vzF85y/\n",
       "eJ7E9ESS0pNITEv8a3emwIBAqpWpRrWy1ahWpho1y9WkSY0mBJUPIqh8EDeUv8Gpxc6EZ7A38Re0\n",
       "i37lb6Q83zd27Ni/7gcHBxMcHFykoETx0FqTkpHC6dTTJKQmkJCWQGKaSXZJ6Umcu3jur2SYnJFM\n",
       "amYqFzIukJqZSlpWGhezLpKelc7F7ItkqAwybsogs3YmGo2Plw9Jypvz+HAQb8jxQmsvSPdCxyp0\n",
       "jEJrhdagtYK/7v8zTqVs1xcUeKFQXgovZW4+3l54VVD4VPbC7xZvfH28qO7rhb+fLz5ePuDlQ4K3\n",
       "H8nefhxVvpQ6XYrSiaXx9/HH38efMr5lCPANoEKpCgSVD6J8qfKU8ytHBf8KVPSvSEX/ilTyr0QF\n",
       "/wouvfpVuIfw8HDCw8PtPo+9Qz3NgbG5hnpeBXJyX+C1DfWEa63n2R7LUI8byM7J5kTyCY4lHePY\n",
       "uWMcP3ecE8knOJF8gtjk2L+GKryVN4EBgQQGBHJdwHVU8q9EJf9KVPSvSAX/CpTzK0e5UuUo61eW\n",
       "sn5lCfANoLRPaUr7muRZyrsUpXxKUcq7FL7evvh6+RbrBh5CuDNnDfX8DtRTStUBYoHHgCsLZCwB\n",
       "hgHzbL8okq5M+sI5tNacunCKvWf2svf0Xvad2Ud0YjTRZ6M5lnSM6wKuo3aF2tSuWJta5WtR/7r6\n",
       "tKnThuvLXU/1stWpWqYqZfzKOPuvIYQoJLsSv9Y6Syk1DFiOmc45TWu9Vyk1yPb6JK31UqVUJ6VU\n",
       "NHABGGB31KLQsnOy2XdmHxEnI9hxcgdRp6LYFb+LbJ3N7VVu59brbuXWwFtpe1Nbbq58MzdWvJHS\n",
       "vrIqS4iSSBZwlVDxKfFsidnCluNb2BKzhR1xO6hRtgZNr29K4+qNaVitIXdVu4vqZavLVEAh3JSs\n",
       "3PVw8SnxrDmyhvCj4aw7to74C/E0D2pOi6AW3HfDfdx9/d1/2xpOCOH+JPF7mMzsTDb+uZFl0ctY\n",
       "cXgFRxKPEFwn+K9bg6oN5CKpECWcJH4PcP7iecIOhLHkwBKWRy/n5so307FuRzrc3IF7g+410w+F\n",
       "EB5DEn8Jdf7ieRbvW8yCPQsIPxrOA7UfIPSWUDrX78z15a53dnhCCCeSxF+CZGRnsCx6GXN3zWVZ\n",
       "9DKC6wTT6/ZePFz/YSr4y24oQghDEn8JsPf0XqbtmMbsqNnUv64+jzd4nJ539KRy6crODk0I4YKc\n",
       "tYBL2CkjO4NFexcxcdtEos9G81TDp9g4YCP1rnNQsXYhhLiCJH4niU+J58vfv2RyxGRuDbyVl+59\n",
       "ia63dJUCXUIIy0niL2b7zuxj/JbxLNizgMfueIyV/VdyR9U7nB2WEMKDSOIvJttPbued9e+w6fgm\n",
       "ht4zlP3D9lOlTBVnhyWE8ECS+C229cRW3l73NjvjdjKixQjmPDqHAN8AZ4clhPBgkvgtsit+F2PW\n",
       "jiHiZASj7x/Ngl4L8PeRHciFEM4nid/BjiUd47U1r7Hy8EpGtRzFvB7zJOELIVyKbAnkIOfSzzFq\n",
       "1SiaTG7CzZVuJnp4NC/f97IkfSGEy5Eev51ydA7Td0zntTWv0bFeR6IGR1GzfE1nhyWEEFclid8O\n",
       "EbERDF06FKUUYX3DaHp9U2eHJIQQ+ZLEXwTnL55n9OrRLNizgPceeo8nGz0pG2kLIdyGZKtCWrJ/\n",
       "CXd+cSfpWensHbqXAY0HSNIXQrgV6fEX0OkLpxn2yzB2nNzBrEdmEVwn2NkhCSFEkUhXtQAW71tM\n",
       "w68aUqt8LSIHR0rSF0K4NenxX8O59HMM/2U4m49v5vue39OyVktnhySEEHaTHv9VbD6+mUaTGlHG\n",
       "twyRgyMl6QshSgzp8V8hOyebcRvGMXHbRCY/PJnQW0OdHZIQQjiUJP5c4lLi6LuwLwDbn9suC7GE\n",
       "ECWSDPXYrDu6jqaTm3J/rftZ2X+lJH0hRInl8T1+rTUfb/6YT7Z8woxuMwipG+LskIQQwlIenfhT\n",
       "M1MZuGQgBxMOsu3ZbdxQ4QZnhySEEJbz2KGeo0lHafl1S3y9fNkwYIMkfSGEx/DIxL/pz03cN+0+\n",
       "nmz4JDO7zaS0b2lnhySEEMXG44Z6vtn1DS8te4lZj8yS8XwhhEfymMSvteY/6//D1zu+ZvUTq2lQ\n",
       "rYGzQxJCCKfwiMSflZPFoJ8GEXUqil+f+ZXqZas7OyQhhHCaEp/4L2Rc4LEFj5Gjc1j75FrK+pV1\n",
       "dkhCCOFUJfribkJqAg/NeojAgEB+7P2jJH0hhKAEJ/7Y5FgemPEArWu3ZnrodHy9fZ0dkhBCuIQS\n",
       "mfiPJB7hgekP8HiDx/mg3QcopZwdkhBCuIwSN8a/78w+2s9uz8iWIxnabKizwxFCCJdTohL/7lO7\n",
       "aTe73V8boAshhPinEpP4LyX9j9t/TN8GfZ0djhBCuKwSMcb/x6k/JOkLIUQBuX2Pf8/pPbSf3Z5P\n",
       "2n9CnwZ9nB2OEEK4PLfu8R86e4j2s9vzQdsPJOkLIUQBuW3i//Pcn7Sd3ZYxD4yhf8P+zg5HCCHc\n",
       "hlsm/riUONrOassLzV5g0N2DnB2OEEK4FbdL/OfSzxEyJ4R+Dfrx8n0vOzscIYRwO0pr7ewYAFBK\n",
       "6fxiSc9KJ2ROCHdWvZP/dfyfrMgVQng0pRRa60InQrdJ/Nk52fRa0Atv5c233b/F28u7GKMTQgjX\n",
       "U9TE7zbTOV9b8xrn0s8R1jdMkr4QQtjBbXr8RxKPcF3AdZQvVb4YoxJCCNdV4od6hBBC/F1RE7/b\n",
       "zeoRQghhH0n8QgjhYSTxCyGEhynyrB6lVGXgO6A2cBTopbVOyuO4o8B5IBvI1Fo3K2qbQggh7GdP\n",
       "j38UsFJrXR9YbXucFw0Ea60bS9IXQgjnsyfxdwVm2u7PBLpd41hZYiuEEC7CnsRfTWsdb7sfD1S7\n",
       "ynEaWKWU+l0p9awd7QkhhHCAa47xK6VWAtXzeOm13A+01lopdbVJ+C211ieVUlWAlUqpfVrrDXkd\n",
       "OHbs2L/uBwcHExwcfK3whBDCo4SHhxMeHm73eYq8gEsptQ8zdh+nlKoBrNVa35rPe94EUrTWn+Tx\n",
       "mizgEkKIQnDGAq4lwJO2+08Ci/MIKkApVc52vwzQHthlR5tCCCHsZE+PvzIwH6hFrumcSqnrgSla\n",
       "685KqZuARba3+ABztdbvXeV80uMXQohCkFo9QgjhYaRWjxBCiAKRxC+EEB5GEr8QQngYSfxCCOFh\n",
       "JPFfgyMWSjiaxFQwrhgTuGZcElPBuGJMRSWJ/xpc8R9aYioYV4wJXDMuialgXDGmopLEL4QQHkYS\n",
       "vxBCeBiXWsDl7BiEEMLduPXKXSGEEMVDhnqEEMLDSOIXQggP45TEr5SqrJRaqZQ6oJRaoZSqeJXj\n",
       "XlVK7VZK7VJKfaOUKuUCMVVUSi1QSu1VSu1RSjW3KqbCxGU71lsptUMp9ZOzY1JK3aCUWmv79/tD\n",
       "KfWCRbGEKKX2KaUOKqVGXuWY/9pej1RKNbYijsLEpJTqZ4slSim1SSl1l7NjynXcPUqpLKXUo1bH\n",
       "VNC4lFLBts/1H0qpcGfHpJQKVEotU0rttMX0lMXxfK2UildKXbWkfaE/41rrYr8BHwL/tt0fCbyf\n",
       "xzF1gMNAKdvj74AnnRmT7bWZwNO2+z5ABWf/rHId+y9gLrDE2TFhdm5rZLtfFtgP3ObgOLyBaNtn\n",
       "xRfYeWUbQCdgqe3+vcCvFv9sChLTfZc+N0CIK8SU67g1wM9AdytjKsTPqiKwGwiyPQ50gZjGAu9d\n",
       "igdIAHwsjKkV0BjYdZXXC/0Zd9ZQT0E2aj8PZAIBSikfIAA44cyYlFIVgFZa668BtNZZWutzFsZU\n",
       "oLhssQVhPgBTsX5z+3xj0lrHaa132u6nAHuB6x0cRzMgWmt9VGudCcwDQq8Wq9b6N6CiUupq+0MX\n",
       "S0xa6y25Pje/AUEWxlOgmGyGAwuA0xbHU5i4+gILtdYxAFrrMy4Q00mgvO1+eSBBa51lVUDabFWb\n",
       "eI1DCv0Zd1biz3ejdq31WeAT4E8gFkjSWq9yZkzAjcBppdR0pdR2pdQUpVSAhTEVNC6AT4ERQI7F\n",
       "8RQmJgCUUnUwPZbfHBxHTeB4rscxtufyO8bKRFuQmHIbCCy1MB4oQExKqZqYBPel7animO5XkJ9V\n",
       "PaCybdjwd6VUfxeIaQpwh1IqFogEXrQ4pvwU+jN+zc3W7WHvRu1KqZuBlzBfuc4B3yul+mmt5zor\n",
       "JszPqwkwTGu9TSn1GTAKeKOoMTkiLqXUw8AprfUOpVSwPbE4KqZc5ymL6UW+aOv5O1JBk9OV34Cs\n",
       "TGoFPrdSqg3wNNDSunCAgsX0GTDK9u+psP5bIxQsLl/M/7mHMN/6tyilftVaH3RiTKOBnVrrYFue\n",
       "WqmUaqi1TrYopoIo1GfcssSvtW53tddsFyqq68sbtZ/K47C7gc1a6wTbexYBLTBj2M6KKQaI0Vpv\n",
       "sz1egEn8dnFAXC2ArkqpToA/UF4pNUtr/YQTY0Ip5QssBOZorf+xJ7MDnABuyPX4Bsy/0bWOCcLa\n",
       "IcOCxITtgu4UIERrfa2v8cUVU1Ngnsn5BAIdlVKZWuslTo7rOHBGa50GpCml1gMNAasSf0FiagGM\n",
       "A9BaH1JKHQFuAX63KKb8FPoz7qyhnnw3agf2Ac2VUqVtPZC2wB5nxqS1jgOOK6Xq255qi7nwZKWC\n",
       "xDVaa32D1vpGoDewxp6k74iYbP9m04A9WuvPLIrjd6CeUqqOUsoPeMwW25WxPmGLqTlmyDAe6+Qb\n",
       "k1KqFmYv6se11tEWxlLgmLTWN2mtb7R9hhYAz1uc9AsUF/AjcL8yM9YCMBcvrcwDBYlpH+b/Prax\n",
       "9FswE1GcpfCfcauuROdzlboysAo4AKwAKtqevx4Iy3XcvzGJdRfm4oWvC8TUENiGGdtbhPWzegoU\n",
       "V67jW2P9rJ58YwLux1xv2AnssN1CLIilI2bGUDTwqu25QcCgXMd8bns9EmhSDJ/va8aEuQCfkOvn\n",
       "stXZMV1x7HTgUatjKsS/3//lygMvODsmzDein2yfp11AX4vj+RZznTMD8w3oaXs/41KyQQghPIys\n",
       "3BVCCA8jiV8IITyMJH4hhPAwkviFEMLDSOIXQggPI4lfCCE8jCR+IYTwMJL4hRDCw/w/jJXI4rO0\n",
       "JdgAAAAASUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc962b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# annotations\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.plot(xx, xx**2, xx, xx**3)\n",
    "\n",
    "ax.text(0.15, 0.2, r\"$y=x^2$\", fontsize=20, color=\"blue\")\n",
    "ax.text(0.65, 0.1, r\"$y=x^3$\", fontsize=20, color=\"green\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAVsAAAEACAYAAAAdhtXZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJztvXuwLEd9Jvj9qrqqu8/jnnulCxJIV9aAtVo8BgwYSVhr\n",
       "HgMbKzNhO2J2FwIbxxqbGGI25HE4NoLxsBFmN3bsWSIIW+FhRiEelplh15oJIDzyLo9h/RgeFjLC\n",
       "eoAlPEg8LAk9uNJ9nEe/O/ePyuz88lTWqb7ndPd5/b6IEyc7q7o6Kysz68vfU4wxUCgUCsV8kex3\n",
       "AxQKheI4QBdbhUKhWAB0sVUoFIoFQBdbhUKhWAB0sVUoFIoFQBdbhUKhWABqF1sR+QMReUZEvrHD\n",
       "Ob8vIt8WkQdF5FWzbaJCoVAcfkzDbO8EcEvVQRF5K4AfNcZcB+AfA7h9Rm1TKBSKI4PaxdYY8yUA\n",
       "53Y45ecAfNyeey+AkyJyxWyap1AoFEcDs5DZXgXgcfr8BICrZ3BdhUKhODKYlYJMtn1WH2CFQqEg\n",
       "NGZwjScBnKHPV9u6ACKiC7BCoZgaxpjtJO6ScKlrzl5/rw6zWGzvBnArgLtE5CYA540xz8ROfA9+\n",
       "ZAY/d7BwH87jJ3Hykr6TJ/6ZnmlnAIC/t5xN6k6fOTEpn3qJv/apl14JAFj70asmda0feemknF3z\n",
       "XwEARif98cHqlZPyD7eGk/JTG30AwPfOdyZ1j53dBAD86cf/Fa655V0AgO8/uzE5vn7On7v+fFHe\n",
       "On9+Ute9+EP/u5sXJuX+5sWiXX3/fTMeYTskSSflNG9Pyvmy749seQ0A0Drxgknd0knfR6uXFd9b\n",
       "PeW//yMvXAEAPPCpO/A//s//CwDgpaeXJ8evPenPfdFKPim/YKmYHtn6075d5z2PGPzdfwEAdL//\n",
       "2KTuwqP++LnH/PfOfafop7OPX5zUfXdzMCk/3inK/fGlcZLdjL/DgDvw/ZlcJ3/1u6c6r//XH53J\n",
       "7+2E2sVWRP4IwBsAnBaRxwG8H0AGAMaYO4wxnxGRt4rIowA2Abxrng1WzAapFAt+In7hTxNXR+Uk\n",
       "/rIXWy9pSnVp/Fx7TtXx2Pf5urFzwt8tt5Hb7e5F+L74vmWuhEaxj6gbc4tE7WJrjHnHFOfcOpvm\n",
       "KBQKxexwqBZbxc54MVr73YSZ4yU/cSPKm/zDjxf92E/udxNmjqM4/maJJMvrT1oQdLHdI+Yx2M1o\n",
       "HC2Px+Py8XGkTAHheYfMZbeNTqnObbGve/VN+PYzhayWt+hpmpTKgZy14Qd2QuW0MbDt9kv4eNjH\n",
       "doTfqbpWXv7daLvKYoSrf/y1k3Ia6Qugor+oP2P9HXtG2+u5PEvoYrszEmW2CoVCMX+oGEFRwmiK\n",
       "9ERRdsRafVc2/jyh42mgDCv+M6vLG54h5vYErkuo7JhjUsFAefuWWBabRiwQGCl/p+GtM4Jr2d/g\n",
       "32IW69oYuxeuTyJ9AYR9JJH+jPY3oY7BTvOcFbPDQVpsNeqXQqE4spAkmeqv9D2RlojcKyIPiMjD\n",
       "IvIvI+f8og2+9ZCIfEVEXrFTW5TZ7jNiTMeMTLTs6+JMywwKBiljb08rxMpSGlROdpmlOzNAZogs\n",
       "G23kRbmReeYwJLbZIDvZ8aAsn40xjoDNVlzL1fPvurZwGwNmG2G5fN9pEme5ru+4Pw3fi+37KjZb\n",
       "9xyV5c4fu2W2xpiuiLzJGLMlIg0AXxaR/8YY82U67TsAXm+MuSAitwD4MICbqq6pi61CoTiy2IsY\n",
       "wRizZYs5gBTA89uO30Mf70VNTBhdbA84xgE7KpjUaOA9j8xwQCdbhkVMDIHM1g+8zLK5FrG+jBje\n",
       "Up4G/4GQQTpm2aDjaZPYLFkbNGwbRj3vQRZntmR1QNdibzJXz78bY7ncbi7X3Xfg4OD6LuhPsjCw\n",
       "fR88D7a4iLBZxWKxF9MvEUkA/DWAlwK43Rjz8A6n/yqAz+x0PV1sFQrFkcUeme0YwE+IyBqAz4vI\n",
       "G40xf1H6DZE3AfgVADfvdD1dbBUKxZFF1WLb/+GjGJx9LHpsO6xM9v8F8JMA/iK4fqEU+wiAW4wx\n",
       "O8X91sX2oIB3nKHogAzmB8NSXaAgs1v3ZEQKMtoCpwlt0+12uUkaoWbDD8y23Xq3cz9Egu26LedN\n",
       "f3zY99c34xUqF21kA/NRxKmhypGh0fbXypp56Xdj7eJ2t0mM4O6R7zswiWOnBtt3Qv0ZOGNEFGTu\n",
       "GZXq7TNVycJiUeXU0LrierSuuH7yeetv/1NwXEROAxgaY86LSBvAfwvgf992zjUAPg3gncaYR+va\n",
       "ooutQqE4stiDGOFFAD5u5bYJgH9njPlTEXkPUAThAvBbAE4BuF2KF/bAGHND1QV1sT0gGFW4hI7H\n",
       "ZZYbsKeYsoyN7UeeiWWZDyvo9EOsKFrKfHmlVQyNFWKQrg4Aes1iEA8HfjDnfX/cmLIbKSvIYg4O\n",
       "gQsuKciylr+WY7RZk5ReVK5rt7tHvm8qImNq68y8gt0D9bft+0o2Oy4/UzX3Wiz2YPr1DQCvjtTf\n",
       "QeV3A5guhiN0sVUoFEcYB8mDTBfbfUZMhjeuMIYfWQY16hOTIhmi6XUBAEJsVtgEi0ycnHF/M2C2\n",
       "fmAu2/IqscKTS16OutEt2jAceCY3GsaN++0WK3B6qAseznJYls/mbcdsfV2z7Z0hXBu53ct0LXeP\n",
       "zQp3Xu4j13fcn66PAd/3/DxGAcv1zy5mBqby2/mDZf/7DV1sFQrFkUVVEPr9gC62+4CY3I5ZTsBm\n",
       "+2Qkb8ssIxx1iblapmX6nn3JyMsYk2FvUs7Tgg02G+TIEGGAa0ueNZ7f8tdy9cMByTMrUrq4QDEp\n",
       "sUkzLg89DijDzJZlso7FNtv++9xGJ6vluth98X3nJKflPnJ9x/0J2im4vufnMabnxc/O1FgjqCx3\n",
       "PlAxgkKhUCwAutgqFArFAqCLrWICt30MTL+CCP+sZLGmX6SQCcyO7HaXlTgy5DKJEazPOGf6XSFH\n",
       "ALcdP9Hy2/HLKfNsx4oP+lVKMY430HDKNBYjxL7jy6EYgZVhRXl12beFFXeujdzuwAzM3mOexMUI\n",
       "MiAxwrDcnyxScH0fPI+KZ+eeKT9nFR3MH1UJS/cDutgqFIoji1jm5f2CLrYHBKw4GfXJnIoUUENn\n",
       "btXtUZ0vjzubxf/u5qSuwUxt4FlZ3joBIDTub2e+ESvWxXWVXF1Z6dSxyp9RlVKMXWCtaVWdMm0a\n",
       "BdmKbcPlK81J3eXEcl0bud0rVG5HnBoCZrtFOwHbdyPqT9fHgO/78HmwGRgryxyzhWKB4BjM+w1d\n",
       "bBUKxZHFsWW27TS88YDNmeMZqMNx2CAQjYmbfjl2VGX6NZHZEvsyfYohSzLbxLLcZupZYYvModaa\n",
       "BUPcIqeFLskjnax2WMFsOftBJ7fyXTaFisgrmQ3nzEap7OSzlxGbvYxkySetaRjLbN29AP4em2zu\n",
       "NYjLtV3fhf3pz42ZfgW7Ejbbi4zv+eTbPfgIMjpXBAHCzunqpsaxXWwVCoVikeDEnvuNhS62p/Pw\n",
       "51gb697yfWJKsXK/gkkddnBf8D3G5LdDYrODTc+0hlbemJKMkVmZtLd8eVCUW20f5KVNtKufF+U1\n",
       "0uQPKoKsOLCrK7PRjW7hHLDFLD3y/TSSKQIAVoilrtr2MJs9TSz3lD2X271MGSbajbLMVjrUL31f\n",
       "dn1nqD+HJNN1fc/PIyanBfwzPQ4WCIGlhy3H6oAw42yQJaODmUCZrUKhUCwAutgqFArFApA2juli\n",
       "e2UrrVSA+W1WuQ4AOnYLOzBcVz6+/RoHHTHFYGD4zqZfHWv61fExCngLO+wUyp2MRAfjrYuTcmP1\n",
       "5KQsVvmTZn5b3KYISf1RscE7STEIWHE3jmyHOWV4m+IotK0ZFztAxLbTvI3ka3EEL2fadYLEBKco\n",
       "6tdltsztbnO77ORL2dmDlYgDXx7ZvgvMvTps5tW3dfQ8OhWmXzXP+TCBFVlta1rFyu+MnqM7nidx\n",
       "RVhexTxnJUY4rjJbhUKhWCSOrQfZFa0sNGsKysX/agVZ8YasYrObIzI1succBrbr2lWlIItFkQoM\n",
       "59mg3ipvxl2v5BlvrlPZs9wkKzIhmIZ3DmgtXz4pD6zxf+BGTAzS1bO2N0vZQYIVXEV7A2ZboyBj\n",
       "Zsvuti5qFzPbtVaZ5S5n8QwULUurZHNjUpf0fJn7yPUd9ycryEYTpwY2/SpHaQPiCrKDOiYZjoW2\n",
       "+dkSNV2eMNv48ToFWZUZ2KxwkGS2B8e9QqFQKGYMSWSqv9L3RM6IyJ+LyN+IyDdF5J9GzjktIp8T\n",
       "kQfsOb+8U1sWymyXr1gKPodZCKz7Z4VReN8eD5ktyYaGCdUX12C2u0GsqnMAKUWVrJr7Y+KuS3JB\n",
       "Nv3qXywYWL7qmVi6TExt4/yk3GgX+ciSjHKFUblt85WNjO9XJqOnrXNBlvjjAbMleaVjo4OanQaz\n",
       "nCqWPImzW8FsHYtlNtsmJUnS3wz+A4AQsx1RHxkrsx1c9P3Zp/LE9IueR8hyY6ZfOPBgZrpidxjL\n",
       "AXOlXYft20pma59XSqZ8KZnipfRshQfA07tufoA92NkOAPyGMeYBEVkB8HUR+YIx5hE651YA9xtj\n",
       "/rnNxvu3IvIJY8wwdkFltgqF4shit8zWGPO0MeYBW94A8AiAF2877SkAJ2z5BIDnqhZaYOHMdjn4\n",
       "HA8f6NnAgFhC07KHNtX1WeOd+u9tDK2caFilITX2vDLzWDRiIRaZ/QzGZWbb3/T3PdhkB4dO8B8A\n",
       "MpLZyhLJb1sFg5PMZ7EVct3NkmJoLGdepstw4zMVL8flzLRbFE6xN7TMlhl7jcw2o3IsT9oqOci0\n",
       "M842YZkYMdtsRMF4ukUfSI8sNtY9m2UZ98iWuT/DctH3/DyY2fKzi8nm99saIQivSX3citTz8Vg5\n",
       "pyBFDdppNFzOOKpLiNkmxIglnb18lbOD7BYici2AVwG4d9uhjwD4MxH5AYBVAG/b6TpqjaBQKI4s\n",
       "qky/Ljz2AC5854Fpvr8C4JMAft0yXMb7ADxgjHmjiLwUwBdE5JXGmPXShTDFYisitwC4DUAK4KPG\n",
       "mA9sO34awCcAXGmv90FjzB/W3oVCoVDMGVJBbE9e9xM4ed1PTD4//qf/tvxdkQzApwB8whjzx5HL\n",
       "/BSA3wYAY8xjIvJdANcDuC/2mzsutiKSAvgQgLcAeBLA10Tk7t0KiVdftBJ8jivIKnzLN50Bub9s\n",
       "Tts3Lq9Y8cIFUtKwAN+JD3gbxSKFjYrsA7NCaNhe/K8yeWNlXss5NbAoZYP7oFDY9Ne9Eidb9mKC\n",
       "pHXO/25eKMMaTa8USziFiGUEeds7QoBECq43U/Hta6Qcj8Bfqz8szumNODYCSuDQo03KippHkjO2\n",
       "0rgCzMWrzUl0kHS8mCDpWoXhJvUFixHWfb1TjHF/BgpJ2/f8PHh88rOLxfaIjYNFICYaWE6rxARF\n",
       "365xankSGeTLRTlbJjECOZTkNm5FoBRjZVmVgmxG2K2drRSU+GMAHjbG3FZx2rdQrI1fEZErUCy0\n",
       "36m6Zh2zvQHAo8aY79kG3AXg51EIix2eAvAKW64VEisUCsWisAc725sBvBPAQyJyv617H4BrAMAY\n",
       "cweA3wFwp4g8iIJ/vNcY83zVBesW26sAPE6fnwBw47ZzphYSL195efB5TAqEcb9gCRwblF1Rm53i\n",
       "DTkgBsuKicZFz2QaG8VtpVSX94gR25ds6r++LfpQ8T/GTOYFJnpVLHfQs04NxJ76pCDrrxesK1v2\n",
       "yp+0lUfL0iwY7yjzjCQld90kKe+/mOWmlhmniW95TqZ2feq7QaMoD8dxM7LJb9K8aFQoyxyz5ewK\n",
       "7I7r3HADNtsjEVqnYLajC8/5tpC51/CiN5Xrni++17/o+9P1MRDfbblnBMSf4yJj2PLOLeaIwAx2\n",
       "LatgttbErnnC72ryFT9mXH1OzDZkuUW5QWMvyVhZ5s+Njbm9YrfuusaYL6PGWssYcxbAz057zbrF\n",
       "dpoVZmoh8e996f5J+aZrrsSNZ66Ytp0KheII46t/9zTuffyZmV/3MLnrPgngDH0+g4LdMqYWEv+v\n",
       "b3tz8JmzyDpGO+rHsxB4sybPLLJNYrNsbtIq6gM50UV/rdwykjBKfLmcCjtCzMcpImb6VSWzdW1g\n",
       "+TTLx5wMMSMZY6PlGUmP2YU1nZKGZxbCzHbbfwAAtVFaqwCAZTIdy0nuN6B2DyMG/XXMNq1iufZA\n",
       "Rhwx6XslsTPt4jpskkzWMlo292KW2zvvOUJMZssycrfL4h1W1TiJu+vOZ7fkWCzrKWIyWWazXG5T\n",
       "fODmidz+b1Jds3Q8W/Z12XKLysX4CHZYZLbnWO6br7wMb3ndj0/qb/vKgzvd4tRozMD0a1aoa8l9\n",
       "AK4TkWtFJAfwdgB3bzvHCYkxjZBYoVAoFoU0kan+FoEdma0xZigitwL4PArTr48ZYx4RkffY45ck\n",
       "JF560RXAmDOsUtAOy2wDmW2nHGQldE+lLLKUhcCxvdBFsKz1TNc9200jrCpWV5TLbHO3ZDdmjZDJ\n",
       "ziyXwxc6+TRQwegD+ViZUSTEbGPgt3Ey4mdnnxOFaMxz746dp/66YysXZkeGWHfxkOcJkIxIuD4s\n",
       "ypxRIaGwiBNnhS45cBBzHZ17tlTXO+fP7Z3foHJR3z3nr98jPYBjuexcUyXnr7NG2A1ioQ6LcnGg\n",
       "ysLAsVi2MGiueubZPuWZqWOxrUgdAOSrxTPPT3iHJWa2jSVr9dImS5asPA4BQNgaZkZY1EI6DWrt\n",
       "bI0xnwXw2W11d1D5koTECoVCsSgcqsVWoVAoDiuO7WKbXn5lWMEiBbs95FTRWY9ih9qkfCw6YKE7\n",
       "K4LSbN3+5+00+WDbB5DwPuy83x7Wgw14XJzd3cXO9Qoy35YwGwWZVtl2c11Gpl89Kz4IxSe03c55\n",
       "y1YW17dLNYAZkqhlzZeTUVGW3D+jMaUBR1pWvKWJ/30Tce0RQ/069uIkoTbAihSSASdp9Nt80yme\n",
       "fWDatV5WkHV+6CVd3ee8uRcryLrni9/okXKVxQguNkKVUozrBzPK1FAnOgDqTbuc+KB9kmIZn6SI\n",
       "byQycOKD5gk/OponVyfl7IQVI6ySCIlECmm7qBdynpGcyizGmoMYoXFcF1uFQqFYJI4ts2288CoY\n",
       "UrKAnBocg2Jma4jZJjaddNr2zCNbJmVGxKwpUAill2ACUsNyQ+bq7qEcT7d87k7XZGWKr88iyrgN\n",
       "8s9LyaBeUmvSFrhDMqOPxseIomV3HW7HAQBm4MvpavFspE0spkkMkzJAGOfGS8w26rRexWxHzHKL\n",
       "Z2N6lI2CcoQ511t2VGAX3O5zF+x/cl54/sKk3DlLyrILxW8xm2WWu2n7PoyVHI8kt9dU5nUZE1pJ\n",
       "nWmXHxOO0Vax2aXTnqU2TxXPl9ls8+QKlYv6xoqvS5b9udIqvl/NbP28xRycGvLG7NnybqHMVqFQ\n",
       "HFkcW2aL1dOBeQ8bySeOyZDcjxmLsXmg3JsSAKRJLpkRs6aYXLIKhvN+WTq6QoymKmjIaGAZS8LH\n",
       "yW21JkJ/zPSLwWZmqT05qCPHi9yaIKUXy/Lp7ahj+sbuOppkitcg2anbgSTEbKXlGVHAXqxrsNSY\n",
       "mQW/z4y65xnz2P6u6caZrcuuMLzo2SrLYXvnit0Qs9neOf/97jm/m+rYcmDuRWZejtFuDONOKN09\n",
       "mn7FstCyCy7HaI7FmOU6Nu1yplt1bBYAWpetFf8vP0HHPXNNbcbmZMW7cifL/lw3JnicgHc9wW5n\n",
       "DvFsj+1iq1AoFAvEsV1sR8uXhxrnQEZXyAhl5NmT5P5tmLQ3bR0xpowCq7DbqWW0SbqzvGbM7sIR\n",
       "ZhuEgNyggC+RrL9jsJxWqOz+70xjqnKQxVhsSmLvqOPFJVhWcB/E3KfH5D6dk/t0tlo8DxMwWyoH\n",
       "zNaWSdscM2BnJ5fAUoVk92bCbCnTAjHbwXrZaiXuqLAzmwWA7vmi3KH+5LCdjtmynLY7rpPZYmqw\n",
       "C3mM2VbJbx2jDd1uyfLAMtrAUSHCZgFg6YWnit8lOW265gNKJavF8ZDZeuZr7BweZyzDZzkth/Wc\n",
       "vcx2Hhl7dwtltgqF4sji2DJbhUKhWCSO7WI7XjoVfA5ECtZYPRAjDPyWTuw2hBMUpmROgohxdJO2\n",
       "KGM2ObPgbfNoUE6hPqasEW0qr0QVH6QUCyKIOaWW/926rSQf74zKDhSXFBW1QqTgFIIsPmEloYu+\n",
       "NqqIL5zZKGzZMsWkWPaKqCQQ99hnw2Y+dWBlHJmcOQXZkGJkhEkYy9kqOPaBi0cbiAuozMowJz5g\n",
       "0cEFGidOjLA5hVPDtOKD6ngcNtpZkLg0riBrW9M/jjHronMVZRfvIC46CJRhtj5h0QGVJyKFtv/O\n",
       "OPdz1Nj5ajI/HgIxAjm/xBxd9ormAYr6pcxWoVAcWRxbZrs+lCBmqcAzz6xRNKVBkaOSjFJQD4o3\n",
       "I6fb5pxZaY3ypRVEG7Np04m1cRzd8YTZMvMllhvkNituiJntIDD9cuXdGbPHWC4r4KrOjdVdRizX\n",
       "KQHHrASMMPkgChsxyHy1YEWDZc8KGxVZIVIbjV84bXXELM+M48q6Ud8zWxfjmFk2s9z+eqH44uhw\n",
       "AVudmHPFXXB7FAnuedsH7LTAzNYpw/j4bKN6lRVkzGaryi6TQqAU4/LJgm0GjgqnvAKsdblnuY7F\n",
       "pqdeWKorfrhgtOOm/75pesbsmO2YzL2G1Ecc93ge0X13u9iKyBkA/xbAC1E07cPGmN+vOPe1AO4B\n",
       "8DZjzKerrqnMVqFQHFnsgdkOAPyGMeYBm8786yLyhW3Jbl1S3A8A+BzCKKElLJbZ9kO5aZgdofjP\n",
       "uaU4JmrTxsNMKsxGOH+RK1WZEjUjZk3MlEbdgkkNKGtqY5MyhrLro30zs6wui9wX3+tuXTbdT/Bv\n",
       "jUjuPYo8zarAJ2tOZkvPJCwX1+X8WtkKZylw+c68LC6lYECxnFMBs404VZgaMzTAP6dRlwPCcF4w\n",
       "++w2mLmWWSyz2U26x9C0y9j/vi0sn3X1s8xPF5sTgB9TVaZfPCZd1pIskisM8IFiYm63wDbTLlsO\n",
       "2OyyN/MaN4vvjVsss/W7057rI87NNoqz/3lkrtjtYmuMeRrA07a8ISKPAHgxwmS3APBrAD4J4LV1\n",
       "11Rmq1AojixmIbMVkWsBvArAvdvqr0KRbfwfoFhsd3xbLHSxvdjbxmwTfouXs6a2qOxEZe2G13Rm\n",
       "bWJHUma2KTNbcv9sWI02G+mHzLZgPTmFLxyQgfiQGG9u2WCexBmJZyrzyTfFrMqxMmYIgyDAje+j\n",
       "mJvwCZJRO1bP7J5znw2sprvRrsgD16asvXtktoFFRKdoAz+DMNtwOS9YEBbRZle4GHFOAEKZrGOx\n",
       "nQibBfYuk61DdOeXlOW4QJjxNrdjla0R8iBE4oqt87LVxgmS0656q6EJy2U221qjcsFoB6lnzh0a\n",
       "R47ZdjmDRcBsqTyHDNZ5hTXCo/d/FY/df2/0GMOKED4J4NeNMRvbDt8G4DeNMUaKNL4HR4ygUCgU\n",
       "i0QVs73+Na/D9a953eTzf/rDf1U6R0QyAJ8C8AljzB9HLvMaAHfZdOmnAfyMiAyMMdvzNALQxVah\n",
       "UBxh7MEaQQB8DMDDxpjbYucYY15C598J4E+qFlpgwYvtM6S0AHxaagBoWbrfpHgGfU6vPPEtp/TM\n",
       "5G+dk4DexVzgBIXJgI3ki3JOPvdDUrg4g/h82Zs69Uk5xMqylt0O50k5owIQihTmDbc7461waIpU\n",
       "Lsf89wFgZVRWkA1oq9q3W9UsEB34cpAlwxrZC3VGvRghbpLmnE+CdpFIwWVP4JTjnX5ZZMDigDoF\n",
       "2CxT118K6qJ+tagPWYTjFGM5ib4ay5Ry3mVXWPNKseQEKcVOXOZ/eKkQHzhFGBAqw/pWfLBJY67D\n",
       "Zatk5Loezcsu9f1gDv28h9gINwN4J4CHROR+W/c+ANcAYR7GaaHMVqFQHFkku1xsjTFfRphcuu78\n",
       "d9Wds9DF9tnNfvC2Tugt3bRv6SUyYVlt+vKoWTS16uUnxHIz9+YlBVlKbsAuFipHjsq32GC/OM5G\n",
       "/NnFKkVQUc5J4RIqNmza9H1yZAlTa/s2dtKinmOuhq6mNqYvMT12WW5b5hiyWTI/onqX641j68bi\n",
       "6QYRyCJR2ADPaNnJhFmuY7GhUstQuexiW5VpYT8IbVy5Sgpk6kPu44DZ2jIrxYIcYdYhJVmNx6Dl\n",
       "CF6jVtm0i5VhjtFu9JnN+vJ6b2j/++e1Rc+uVxF5b1bYr3kXgzJbhUJxZJEcV3fdH26GQVHYLMPJ\n",
       "nzrEjnpkpe/kOafa8Wj/zJNWcpfR07PZ8ZDymdk3OsdBbaz4YCX5iaKeg5lky3Qus7ncyWzjJjkH\n",
       "JwxGyNRiBvmdlBleYs/jDAD+3Lb9frtHpmGcRSBhmW1RDk2/ypOA5bShuy7J9caRdkcYeRVb9eZc\n",
       "cVn1QQKPnZjM1vUrEI7JzJnlReS0gM8XJkvEZlfZUYHcbW15lPnvb7EM3D6bLZLJnut4efkFOz42\n",
       "aJwws+1yzjZ6ZrNCNoe8ZruFMluFQnFkcWzFCE+f7waf80hYuBWSPfFbbzAJwuJZyOklCnbCsi77\n",
       "9l+hTA+GwzVaQ/xk2WdYHW/4czPLCNjllI30Aw28k4/VODWEWtGDw6SqrBEmMtsG15H8Ni0zeg6G\n",
       "kopnL3k/1gc7I8w2XHbvrGKmro0si64KFHMQEZPTFuXifyCzjchpAT9WefxmxHJdRmTOqMAhEg3P\n",
       "G1tmOSxbHjhGe3bL7yJjzHadmO1GtyxjB+bDbI+tGEGhUCgWid1aI8wDutgqFIoji2MrRnjqQif4\n",
       "nDcoepZVjK3Sdqi/4rdBMbOQcJtFWybrYJDTtZocb3NQtCMwd1nyW6rG0rniOhTRKohulW9RuWh3\n",
       "SiKR/XJqmCXcdvt52uaFSkCrIKMbzCLxV4G4+VtMpBA6XcTrXbs45kNMpHDQxQXTIObUwOPMjb3t\n",
       "ZTdWecw2lnzZjXUe/4azK9Bc6UsxhzoDNt3yfetEBiw6iJWfJ4emdRYjDFiMUM6mslcos1UoFIoF\n",
       "4NhmanjqfDe4eVaQLdk3c2fgFVEcBSgWESgjUyLONeTi4OYkyM8od5nLY5a0/Btc2pw2vSgzGwhi\n",
       "tUYM+QNsOFv1AAAgAElEQVSWQW/2g5RKea+IKdM2PEmpNH+LxfStQxXLPUrMtQ4xBVkwziqcSNxY\n",
       "Ddgsp5y3ZaHxP6b5wWXnZtshx5B1igPtFGDMZs9StDzHaJ+juo2uP3drzgqy7LgutgqFQrFIHFsx\n",
       "QmejD6Gb7zZ8ecu+pflNF2OzzIybJPNtEst1Lr9Nun6bWEBinR4MufgmLf/mH9tyox3PPMAmN8nE\n",
       "YD9usuPrSlVHDlVmZIrpUTVO3JjicZbk8UA0bqzy+BUa326s8/g3lF1hQO4UXRs0hk2/LpDM1ZWZ\n",
       "2bJ89tn1wszyuQ3v0LTFsYhJZjsazn7MHFsxgkKhUCwSB2it1cVWoVAcXRwknUntYisit6BI/5AC\n",
       "+Kgx5gORc94I4PcAZADOGmPeGLtWdzOMZ5uwUstF9RrtLCTnbUGblAWsIHPRwtpU16UtSm7TKpuG\n",
       "VyCwgkzyoj6NJC3cXp6YfpGYIjRx2vF2FIpKxMZRMM5o/MfGJ49fN6YBP9Z5/BtKNc5zpeeSXkaU\n",
       "YkW5bNrlRAeAFx+sc4opTv5I1xrPw4PssCy2Nk3vhwC8BcCTAL4mIndzOl8ROQngXwP474wxT4jI\n",
       "6Xk2WKFQKKZFJJLnvqGO2d4A4FFjzPcAQETuQpFNktP5/gKATxljngAAY8zZqot1KQkfEDJb91Yb\n",
       "DeNNcoyW2ezKlj+X4+Cu94r61Sb5xI/ot3KbFp3e5gkZdUuzZevIKJxYQpqXTb+SCgXZQdrGKA4X\n",
       "YuMoGGcByy0ryHj8ujENAGLH+pjGP5f7nXJULo5HG7DcrWJOnycF2XmKk+AYLc/9AbFZTnE+D2Z7\n",
       "kKJ+1bXkKgCP0+cnbB3jOgCXicifi8h9IvJLs2ygQqFQ7BaJyFR/2yEiZ+ya9jci8k0R+aex64vI\n",
       "74vIt0XkQRF51U5tqWO209hiZABeDeDNAJYA3CMiXzXGfHv7id2tfhCtP03LzLYqWvsF2yFLxGxX\n",
       "m775a0veGcK9ebvkINHLyiw3zUhmlfpznXyL2UCSV8lsE3t8Z5mtMlzFNIg5MnA5GGdk+hXIbO1Y\n",
       "DdlseawbGv+cXpyzJ3QnmRji8Wgds71AbPYCyW8do+0R8+13Kky/avQ1u8EexAgDAL9hjHnApjP/\n",
       "uoh8YZsI9a0AftQYc52I3AjgdgA3VV2wbrF9EsAZ+nwGBbtlPI5CKdYB0BGRLwJ4JYDSYvv8ff9+\n",
       "YmfbfvHfx8o1r6j5eYVCcRyw9cQ3sfnEN2Z+3T3kIHsawNO2vCEijwB4MUIR6s8B+Lg9514ROSki\n",
       "Vxhjnolds26xvQ/AdSJyLYAfAHg7gHdsO+c/AviQVaY1AdwI4HdjF1t52VshlD231/Fay9GonIGB\n",
       "Y1E2rHzq/JZ/Q660fHmN6teaxbX4DXxiTFl77Vu8lXo5rGmUNbfS8G1KM19OcmLB9tVZJbNVKGaB\n",
       "mMyWM1/wmHRjlcdvwGztWDc0/pnZDmh36eYQZ2K4QHPNyWp5XrK1gZPPMpvtkbvusF+U08uvw8ra\n",
       "j0zqz933HzALzGIq2vXvVQDu3XYoJma9GsClL7bGmKGI3Arg8yhMvz5mjHlERN5jj99hjPmWiHwO\n",
       "wEMAxgA+Yox5+JLvSKFQKGaMBPHV9q/+8kv42l9+ufb7VoTwSQC/bozZiJ2y7XOl6LXWztYY81kA\n",
       "n91Wd8e2zx8E8MG6aykUCsUiUcVsb7z5p3HjzT89+Xz77/6fke9KBuBTAD5hjPnjyGW2i1mvtnVR\n",
       "LNSDbLB1AZKQITZt3cdDZ3pFzgWcONGaiXUovTlHD+JUG37rQ8bTnA7bbpMMbb14S5VktkztSwJz\n",
       "Ly4n5baq6ZdiBuCx48ZUoGDOKLZtREHG41cymmupEyP48T/sU1yLUUyMQKZfXU5xU8zBTjcuJuhZ\n",
       "8QHX9bd88tRRz8e4Hg9Dp6dZYLcKMimUSx8D8LAx5raK0+4GcCuAu0TkJgDnq+S1gLrrKhSKI4wq\n",
       "McIUuBnAOwE8JCL327r3AbgGmIhQPyMibxWRRwFsAnjXThdcLLPtbAQKMma2Zly8OZn5smlYZhkt\n",
       "C9854jtHC+vaiO9dTvQ3LCsATEK3T78bU5CxaU2gmJgoyHZO061Q7AVuTCWRsVccL5uBVSnI3Fg3\n",
       "NOYHY3I0oLni5lCXsijwXHNzkOflsF9WkA26PuHqsLNB586X2e52Y2mM+TLq/RBgjLl12msqs1Uo\n",
       "FEcWxzbq16gf5iBjZhurG+behdC9OdkImtMgdyL1bJw9GPuyi5M7JBOXlFmuWDksybmYOUhSZrHK\n",
       "ZhWLgASmX1ROyiyXx68b04Df0Q0rMqHwXHFzqG6u8bwMWK6tZ9kss1lmuXNhtjO/4u6hzFahUBxZ\n",
       "HJqoX7PGqN8NPht6gzpZ7YiZbd8HhxkO7Ns4iOzuv9/ps8ypqB+wofaonNMqyASR+q6YyHKJLSQs\n",
       "v83j8tvJ8cDBIfyvUOyEqvCcSWQAhU4NZI3gxmpSZrPFhW0403F5TgDxedOvmGtuDvK8DMr9wnGJ\n",
       "d7XMcnlNmIs1wgGad8psFQrFkYUcV2arUCgUi8SxVZANe53AtIsxHhZbHxaeNwZ+WzGyTg8sOhiP\n",
       "2LSrXGZBf6Ags2mygwBjpECYlLmtFe2efOUg7VcURxZTjTM3VnnMRsY3j39OHR+bN7H5Bfg5yPMy\n",
       "mKN2DleZeHF5NDg4pl/zgDJbhUJxZHFwQocveLEdD/uVzNaZfDnnBne+g3FslBVdw7ILLuDfvBwb\n",
       "l9/i7iUeRIwI3vzONbKirRVmYArFIsFjL4koaoPxyxTPjnUe/0Rsg7ni5hCz2cBkbFiel4Yu5uZw\n",
       "OK+96y6z2fk4NRwcaqvMVqFQHFkcW5ktv922f3ZlMyrXAV4OxGyV36BsxuLevGzOMoqw3IDtMrN1\n",
       "jCGJ1FWgynVSoZgFJOIWXoma8WsiMttxxVxxc6jKAWKy4wzYrmfBdfO6qjwrHCRVijJbhUJxZHGs\n",
       "xQh1b7VLedONK962k+MsOzLl47uFymkVBw2zHJN18ybYJVbkDHSom9fzZrbHVoygUCgUi8QBWmt1\n",
       "sVUoFEcXxzY2gkKhUCwSB2it1cVWoVAcXcgMdTV7xcIXWza0jpWrjsfAqc7TiCQ8ieRwmgU4WplC\n",
       "cRAwyzFZN294riU1Gqi6eX0p8303EMpAcUnfE/kDAP8QwLPGmJdXnPNGAL8HIANw1hjzxp2uqWp1\n",
       "hUJxdGHG0/2VcSeAW6ouKyInAfxrAD9rjPlxAP9DXVMWymwlSeuZbRo/ntrsuvwmZRs6fts2bDmI\n",
       "DRpkvw3/A4AwM3DlWF0FOCiOGSnzVcwWbkyNpxlbNeNX7OIS+DxUzBU3hxoVu0g3B4NdZoPd2Xee\n",
       "1/NmttilGMEY8yURuXaHU34BwKeMMU/Y88/WXVOZrUKhOLrYPbOtw3UALhORPxeR+0Tkl+q+sFBm\n",
       "mzTykK1SjiQXXZ6Pcz6yyRuUsyA0ymwWAPIICw5YrC0H0ibucPs2rDKyDlisym8V+wQeezHGG4xf\n",
       "Znh2rPP4Z9EszxU3h3JiqwHLbZTnJe843RwO57XPesJrwDwgu1tIp0EG4NUA3gxgCcA9IvJVY8y3\n",
       "q76g1ggKheLoomKx/c9f/gq++OW/3MuVH0ehFOsA6IjIFwG8EoAutgqF4hiiYrF9w82vwxtuft3k\n",
       "87/4wAcv9cr/EcCHRCQF0ARwI4Df3ekLC11sG8128JnFBK7cyP05CW0xnNCdhe8cAYm3Oa6ckQaA\n",
       "y6kTSfA+KhAjOAUDbcNq/LbN6ODY8ymOLqYaZ26sBmKE8vgOlGK09Y/Nm9j8Avwc5HkZzNGsPK/H\n",
       "FMM2afjYtnPBaNemX38E4A0ATovI4wDej0J0AGPMHcaYb4nI5wA8BGAM4CPGmId3uqYyW4VCcWSx\n",
       "W5mtMeYdU5zzQQBTU+KFLrZp3go+M7NNLetN6Q3YyJu+nKXBfyB8g7YplfOE2ZLQPoulF+dXO70B\n",
       "J4bQrICg6PJjSuUcM/Max9KmK/FVTIEgBjPHm40MIB57PCYnY5XNvdi43471tFmeE0B83uQVc83N\n",
       "QZ6XQdnO4RHN65QzsBD7nks0vfkpyC4ZymwVCsXRxXF1103zdmDczMzWyXRSkuvyGzJrlpltO6dy\n",
       "pL6ZVshsLaNlE5bgzW/fhoZkS6bC3MvJ0FRmq1gEeJwF5WBMlscvMzw31qscFXiuuDlUN9e6kbkK\n",
       "AINeUR7yvK7INTaPHGTKbBUKhWIBmKOd7SVjoYtt1l6pdFpwjDZreblu1vTNa9g3KL81V1v++BK9\n",
       "eVuN1P5nDSq/uW323AprA9PvFv9ZTjuIy2nHETdKZbmKWcONqXFk7BXHqd6OVR6/bkzbLwIIx38W\n",
       "OAX5sptDbk4B4Vxzc3CjyXJaZrnF8dHIz+tQTuvPVWarUCgUhxW7jPo1D+hiq1AojiwOlRhBRG4B\n",
       "cBuAFMBHjTEfqDjvtQDuAfA2Y8ynY+dkS2s7KMgKf+lmy/tNN9u+ea6+TaKDFTp3hUUKVli/REL7\n",
       "nMxZnGJARn7bwuWJYoG2NWxaMxpw2SojxvEkeaMDpA1VHC6MIokXeZy5sVeUyfTLjdVhZEzDj3UZ\n",
       "eTFDI/FzkedKbC6tROZgu+WvNej5eTkelucHsDwpDWkNmIsY4QDFLtnRsM26on0IRVzHHwPwDhF5\n",
       "WcV5HwDwORysHGsKheI4w5jp/haAOmZ7A4BHjTHfAwARuQvAzwN4ZNt5vwbgkwBeu9PF8uVVCJub\n",
       "kGmWM+nKic2ygswpxk4u+bfmybYvr1H9UpbY/ySoZwWAfXMLv+0DFltWkI0G7NRAioeJgkzZrGJ+\n",
       "cGNqHJh+sVNDeaxWKciSoWO2fsznmXcg4rnima2fqzzXTm4V5Q2q63Q9yx4OijlclfKc14DRKIue\n",
       "syccIDFCncvGVSii2zg8YesmEJGrUCzAt9sqXWkUCsWBgJjxVH+LQB2znWbhvA3AbxpjjBSBLCvF\n",
       "CK2lMHZlwqZZTWfa5ZvUWibmulJ8d42uEbJZkilZd8JWVjbOBojZbvm3PcuvJqZfPX88cIdkmW3f\n",
       "Mtu+N2eJuVwq21VMg1Eg70epHIyzftncqzjHmn7R+GVm68a6DHxd3joxKfNccXNoJWediP8tNwfX\n",
       "e35eblEbTWTcc5zpfs//lpPvzhSHyBrhSQBn6PMZFOyW8RoAd9mAwacB/IyIDIwxd2+/2LP3/N+T\n",
       "8vLVL8fq33vlbtqsUCiOGDb+7iFsfP+h2V+4JlrfIlG32N4H4Dqbi+cHAN4OIIiGY4x5iSuLyJ0A\n",
       "/iS20ALANW/5n4LPIbMtmhI4LSz7t+VJy2ir5LT85l2112hF2CwAJMNe0V77HwBMv+PLlhGMiQ0M\n",
       "u16+NQosE4qHWSWzVUar2C1i4ygYZwNmuSQntWOVx2/IcouxzuM/oXKe+nnl5tAqzcuVnp9rbg5u\n",
       "kJy2w+w7IqsNQjA2iu+1XvYaXHbdqyb1Z796V+l7u8FByqSy42JrjBmKyK0APo/C9OtjxphHROQ9\n",
       "9vgdC2ijQqFQ7A6HiNnCGPNZAJ/dVhddZI0x75pRuxQKhWLvOEyL7SzRWs7D9OOcsNGZmJDB9OUr\n",
       "3hzlhatF+bIVUpA1SaRAijUnUmgGPt4U4avvxAi0teps+rLdfo1IdBAoIAIFWfEwgy1dRUxSheJS\n",
       "EFW0BqIDX46NTx6/jX55rMsyKc1IjNDK/Rxzc4jFdGtN/7s9q9TqrOwsOmBspb6tDVJij4aznyxm\n",
       "dEwXW4VCoVgoDovMdtZor+RB3EyO/u4iCbEL7uWkIHOM9hQryIgFc7ntIhVxxHlQPM/+VvF/4N/m\n",
       "oy4xW1sedvxxVpANu2xmY90Ra5wajgPDzfnZsvOKy4wh0zsXVplA9S1r6tewp8OKqnHi+oPH2ZhM\n",
       "v3hMurHK4zen8T225QaNfzcnACDLvTutm0Ntmqs813rWsaI39PMyqhSj8bCRezNLNhPrz8H0y+zS\n",
       "BVhE/gDAPwTwrDHm5ZHjvwjgvShMXdcB/BNjzI7mFHPIQ6FQKBQHBOPxdH9l3IkiTEEVvgPg9caY\n",
       "VwD4PwB8uK4pC2W2LzoZ5iDLKUami/7OMWpZPusYbcBsSU67mjOztW9jkgclA/9ml0Fh+mK6G5M6\n",
       "ltmObXlITg+jLrHcTtn0a1Tp1HB0GFiMubZ59yBVzFbsf5TqGNUG/f6DY7QDquuMysePAvON9Ucw\n",
       "zkh+G4xJO1Z5/I5pfCe2zONfmp7NJgNvBtnOivo+9THPNSezHURy8QGe0TKz5UwPnQEz29nLV80u\n",
       "FWTGmC9Zk9eq4/fQx3sBXF13TZXZKhSKo4vFWCP8KoDP1J20WGa71g4+hxk7ncyWnRNYA1qUmdly\n",
       "eSnjN6fNdW8oY26P3uLWqHu8eXFSN95an5QdIxhsembA5YBdOGsEkjcxqzqsslrHTFfoGbWYnVhj\n",
       "9zyoi2drdefsVmYb688Ymy3qi+fQpbqNimdz0BGTVfM4i41DwI9VHrPMchM71nn8J23vrstzJW8U\n",
       "VkDMRgfUh24OVu3gnGsuz/WVCgeIechsqxRk//n+h/HF+x/e8+VF5E0AfgXAzXXnKrNVKBRHFlWm\n",
       "X69/xfV4/Suun3z+F3/4qUu+toi8AsBHANxijDlXd74utgqF4uhiTmIEEbkGwKcBvNMY8+g031no\n",
       "YntlSUFGW9S0HIN2pUaMwDE2l6nszFSk67dJ0vcKAnSK+vGmFx2wgmywWYgZAnOvDkWiD8xsinKV\n",
       "6MBtrw6qoqxKDLDsUlhTfAkWKbhz+Tt5RTrsNLfPg64laVmkYCpitXJ0q4HdFoaiAy4Xv8GiAxZ/\n",
       "bNrrVokh9htVcTVcc7mtbO4VjEk7Vnn8ujENAJkd6zz+k2WaKxTbVrJizrZbJ31bImP9NEXjY3FR\n",
       "ljozTJ6rfo536TnPx/RrUH9SBCLyRwDeAOC0iDwO4P0AMmDiQftbAE4BuN06ag2MMTfsdE1ltgqF\n",
       "4uhi99YI76g5/m4A776Uay50sX3BcjNQnHBcy2aE2XKkIacsY+PqlZycIojZpgPrtNAjcxcqj9bP\n",
       "AwDMln+bDze8UqB/sfj+kNjAYNO/IQMzm36ZaXH54PivhEorx1iZrS5HWOxKo6wUA7xCs0GZNVJ6\n",
       "dlyfuPjB9LyTtGziHaTm5j4kFur6ns2eVjplhQu3e2NI7bbsaZN+i1lwhxn1PhNeHjsxkzZm/Dwm\n",
       "3Vjl8evGNADkq8VYZzY7XvemX2lzaVI2jYLZpqlnrkuZV3THxreI331m9tlzjNw2PbseZ5uYxw7j\n",
       "uMZGUCgUikXi0IRYnDVeuBxmasiIarUsk2qm7OjActiyowLLabMRxea0stqk62VS443zvmxNXsbr\n",
       "vq6/vknlggX0LxKzjchpAc8oQpltubxfLIllqjEWy3WxsmOwAJCvEGOxzzIjU72Q5bLMtrgGy2kl\n",
       "wmxZThu4PweG/MU5AZOj55FvFnLK9obfibTp+xNZ85DGXiDTZUZclu/OG1XOHK4cyGw78THp+oPH\n",
       "b2PZM1s31htLfvxLa5nKntkmjtEmlM+vzXPQy3cdQucVmzWb5nWPLAS6tKsYzKOfldkqFArFAnBc\n",
       "F9srVkJmm0ZcOjmjAgeSaTqmRbK4GJsFgKRnGe0WsdmLz1P5OQBA/4JnvizTcrKu/iZpc4kpMYtw\n",
       "2tQqme0iGa3rrtBqIC6TXcvKzPYEZyO2LLZ5wjOXnHLCuTKz2UbAcv25aVbUh9YIdcyWZKeDmKa9\n",
       "vLsAgP5m8bvZsn9ejYsUPtA+xzzxkzBwLR5ExmQSl+/O+9nWBeBhTX6Tma29x/4yZc+NyG8bLT/+\n",
       "m83nJmXJyLLAlhNiphDKgGJzl7EFQ2CNYPuO53V/RGEVmb3PQWarIRYVCoViEdil6dc8oIutQqE4\n",
       "sthtIJp5YKGL7Qky5QLC7YbbZfB2I4+IERKKuxkVHQDAZiE+GF3wW6PxuvemG168AADoX/RKsd55\n",
       "Nv1yYgT/VmSRQp9EClGTnAVG/eItsBMJxEy4irI/d82KDJZJDMAiA1dunvBbyozEQE6MkC17R5W0\n",
       "5b/faPlzkz2KETgLgTPU5yhsHAMgs88s3/DPi5V4vVbxvZRECzmJIYKYDlaJlklZtAB4kcK8nCLq\n",
       "nBqCMo3JRqu492zTi3JYWZa2Nux5JC6gsuTkfNQorpGSgix4cqbog4xSoae5V7A5PWnOTiSjxc2V\n",
       "Y2uNoFAoFIuEqQj9uB9Y6GK7mqcgIgZ22HRmYA02fKe8SNKx6ZcDRwXPRp0LLgCMLaMdE7Nllts7\n",
       "v27/M5sllmtZT5VSrE9G2Z2IgmwQi0M6g7f2hP1H2CwAtKyL7FoWZ7aXkRlXc7VgMiGb9eymfapV\n",
       "Os4sNl8tTIUaVFfFlNK8YEcBs00izHZcoSDr++fg8moFrtTMbK1Z04DyawUOFtYRJqG+SJjlrvvr\n",
       "pjKy/0tNDeqroortRoEWsln/w4OI6Rc7YLCjQG7HKo9fx+gBIG1Z0y/efVCMWrcTKT5Ys70KZpu4\n",
       "Z0bbdRn5PmxbB4hm04+jIc8VdtHG7HFsF1uFQqFYJI6tGGG1Eb67xFBHWK0hvxVlQNk/bfR4F4sW\n",
       "QMBmA/lshNl2n7swKffOFYzWMVwA6J731+1aptMjxsMysTDwiSnVVTk47AYxF9tYwBjAs1hmtmtk\n",
       "ztU+WZbJtk55Zto+xczVMttTq1RHsjjLaLNl77rJLDchuZ9kVnbYCE3/dgTljjID3/djmyV2GMQa\n",
       "ZuP94nedYwoAJJl/zs7BImVmS/3J5cvOW/luFbMdluvCsbE3M7FYTF++fp7Eg/HkdqymGZlGkmt7\n",
       "MumDOJvlXUc7CfUsQKh0Sm05oTpDc9hkxXNyAW0AcpQAkKdermykvNvZK5TZKhQKxQLAIqj9xkIX\n",
       "22TrXMhmuWzfjCGz5eyf5bBwgQsuWRs4ltsnmWz3Oc+Cu88XLLd7riynLcpFG9gagSPKh4FLyjmx\n",
       "ormjLoHZxNhsUS4OVFkbOEZbxWZbJ8sslplt65R32WyeXLX/VyZ1+Ql/PLMsN2mzmyeVmdk2bZlY\n",
       "ktQwJpYBmh5lGbDMNl32zy7j8JjrzmCfDfPJjThft79PbJbKXD/B+V65rhLMpPyzcSy3bhyE2nku\n",
       "75x7jcdkbsdqSuOXZdQTdp/tbB0CeGeGvOLZuB1pskLPaNnvhozN1GvI6cEQs+UxgXkw2+MqRlAo\n",
       "FIpFQsUICoVCsQAc28U23XwurKAtkYyttoHMvTj98rhbbA+DJI0kRhhRBK/euWKrGBMdFMeL63bP\n",
       "+a0Pl51IoUOODDHRQVGui40wnfwgliBxe9mZdlVlT3DigzrRAQAsnS7EAE0SHbQuW5uUm6cK8YET\n",
       "JwBA44Q/LkuFEXsoRvAKtFCMUCjRpOGVIXXgCPum5xVgxooRTNcrwITTdLeLZ57WmDXxtjkWW7cS\n",
       "JFKIiYjCMivIiud4KaZhoYKs+J+Kr0tIZMHjxI3VlMavRJSASU18YcaYYgw0aWue2udkBqQU65Ni\n",
       "25qZ8ThBg0QKCS1Bl5AQdFocJDHC7IUkCoVCcUAwHo2n+otBRG4RkW+JyLdF5J9Fjp8Wkc+JyAMi\n",
       "8k0R+eWd2rJYMcL62TAKD711xtbUh9+KrBgx3bKCjLMrsBmXc1YI6kgZtnW2YEWdCJsFgJ41bGc2\n",
       "W1WOGZtfCnuJOSqEbLacI4zdbpnZ5kvlSF3tQAHmy47RMpttXX6CykV9snpqUpes+DxU6WpRFma2\n",
       "QYR/VogUwyxkMZH3fKAwpTT0bV92ji6mR6ZdxGxHllE3GmV34eJn6xhceeKZiuwIKy69eIUjQlXZ\n",
       "oW6cxKJ+MbPl3RCPSVcfxJUlZ41Y5ow6MENk9+lmvyg3InMV8ErTcZN2OrzrYXPAmmezG4z7Efu8\n",
       "KSAiKYAPAXgLgCcBfE1E7jbGPEKn3QrgfmPMPxeR0wD+VkQ+YYyJ/qgyW4VCcWRhxuOp/iK4AcCj\n",
       "xpjvGWMGAO4C8PPbznkKgGMoJwA8V7XQAgtmtsNnnwwr2LzHyX4qmO2o47InlDMqAMCA4tFO3HEp\n",
       "+AbLZB2j7Z6nOpLFXbCujxcGcTbbHZflt3s1YOcAJ1UsN5o3LAgkE3HBXSOWe9rLXx2jZTbbfsFl\n",
       "k3Kydnnxf5XYrK0DAGkX1zK5d2oYZZ7Zgo3VHXshZhszYJcqZksODhhZUyP63YQYtTMzG2X+91lW\n",
       "HDPSr4JjtCMaB5w1wkzMucqy1aLMLtxizw1+Yeq2uO91AubNfchy1JqLXYIpm2P6zBC57Nym81U/\n",
       "1/ITfi6m7eLZSCWzJTn+JTybabEHBdlVAB6nz08AuHHbOR8B8Gci8gMAqwDettMF1RpBoVAcWVQt\n",
       "tvd8/yl89e+e3vGrU1z+fQAeMMa8UUReCuALIvJKY8x67OSFLraj554O2SyVnRwoCKfX8W/g4VbB\n",
       "QjmcXhXLdfLXmIUB4Jltj+RYFyiQh2O0zGY5G2vMGmG3Ufsdo2X5Gof0izk1cF1Ged1iYRFbJz3r\n",
       "Y8sCx2hjbBYA0lMvLNWh5b8/blpZHGVaNXmc2Y5tmSPxx7qLJYicxSMZkRfQyO2APGNPGsSUrMF8\n",
       "SrJAibgJt0s1tl0sm7QMLsiBFpSLc9s9znHGLDehspXtBzJXlulON4B4nE3DcncEMVzOYBzIqO1c\n",
       "CNg9zdHchroccWCgLQoCtGSD3rTpeWVVbsKzZ7bjCmuEG89cgRvPXDH5fNtXHtx+ypMAztDnMyjY\n",
       "LeOnAPw2ABhjHhOR7wK4HsB9sd9Uma1CoTiyMKPxVH8R3AfgOhG5VkRyAG8HcPe2c76FQoEGEbkC\n",
       "xUL7naq2qBhBoVAcWew2B5kxZigitwL4PIAUwMeMMY+IyHvs8TsA/A6AO0XkQRTE9b3GmOerrjnV\n",
       "YisitwC4zf7oR40xH9h2/BcBvBfFTnAdwD8xxjy0/TpbTz0T3lAkGv+IhO+8NXGRnQZBtKdyPIOi\n",
       "XI7axcedswIrwGLKsFB0EBcj7BV1pl95xPTLmXgBYXpxH8nLb5JZdMBxDlw0r5joIKhf9gqyce6/\n",
       "b+B5kwAAABKMSURBVKxIgcUIA9oocZzS4bAY8NxtseQGbInEYpUGp9FuNOx/SqE9IDGCVcJxgsK6\n",
       "7VuTHChYjDURI1Adm365GMcc67gdjJPycxyQCdheMzxwf4aJKMvKuFiZ69ZorsTSyLP4JEihbhNw\n",
       "BtkyKPqbiwoXxjeuECNcinPJlODneakwxnwWwGe31d1B5bMAfnba69UutlPam30HwOuNMRfswvxh\n",
       "ADdN2wiFQqGYBw6bu+7E3gwARMTZm00WW2PMPXT+vQCujl1o66mQYY8DZUTxhozlmwL4Dcp5wSgS\n",
       "fST2LNdt9Px1HQuoMu1yjLYqRu0s4RVkO7PZoly8+TmleLZcZrlB3NkTcQVZGjHtCpRhltGOm6QU\n",
       "a/tzR1Yp1eEsBSMuk9mT7TuO0F/HbDljR8ZM37F77hdi3KkzL6P+DDIL2P+GzMlSYrbNmFlTkO+M\n",
       "ctHZHF+cw6y95a/FyjLHcrvjeD6zWeYpcOM2dBcuu5DH6gBgZezvd2XCbMuMnss5pY7Plv33G+1y\n",
       "FLZAQZb78ZvMw6nhkC2209ibMX4VwGf20iiFQqGYBQ5SbIRpFtupX7ki8iYAvwLg5tjxD3z2Lyfl\n",
       "G668HK99oWdSo0FZNsRvU5fdluVFVSy3b9kFm3NtDMuxP1kmW+WOuyjwO71KZpvZ7MScUysn0y+X\n",
       "XYHjzraCQDLegcG53rKjAtr+uGO0zGb7qZeTuvi+HerXbgWz7dtzeqSsiBEOFtk1SeaaN8rMtkUn\n",
       "s0lZ28ZNzandDJczK12LZ4JoUNCb1iSTL+sOvGzSZUTgcZhRBumcY8za57hI8586F3J+BKFrMJeL\n",
       "e1sbVjBbOx/7tMOKjc80p+y+HFvXBk/6q6fP4mvPVuqWdo3DJkaYxt4MIvIKFB4Vtxhjzm0/DgC3\n",
       "vur64LOZoaJJoVAcXtxw5WnceNULJp//zYP/ZSbXPUhrzDSL7cTeDMAPUNibvYNPEJFrAHwawDuN\n",
       "MY9WXWj9qY3gM3eEdwukIC+RN2iQ5ZbkYzFmWsVWu/YtX5UVdd5II1r3OgsEwDOGRouYwwrLby2z\n",
       "rZDZclAZF0gGy75u3CJma5khs9lNknFv2XJn4PttneSdW7Sr6Nl+HjC7ivR3GshpKdgJuScvWSa0\n",
       "ShptDvIyaSFlBghYrpVNcs6slIOokLt4ZsM45pTjjB1pcpudoHfRt4VZXZvGqnum/Gxj42ARa4Mb\n",
       "9wHzbbB8mS0qEvufZLo0b1bsHMw3idnS+Oy1i11B1mI5bTy8pVQle9sDDpXMdkp7s98CcArA7VII\n",
       "/QfGmBvm12yFQqGoB3u+7TemsrOdwt7s3QDePdumKRQKxd5w2GS2M8PmM5vB58B4elA2MWFlWd8e\n",
       "r0oVzQowV1+lAJulU8JeETP9CuIkkDmM256Fpl85ldvBfwBIKfkeJ+JzJl8uxgHgHRUAYGDFByw6\n",
       "2OiXxQgXaKt8oRcXI3RseVATGS24b44JQQkslzIrkqALrBk/jGPSIGGRgr1HTrcdmL9RLNZ0qzg3\n",
       "W/ZxN7hvXT0/jx5tl/nZpWKTMEqV6dfiwWKE5/sc38G3KxavOTYH2zS/2mQel2fl1PEpiRFSerbz\n",
       "ECMcNpmtQqFQHEqMj+tiu/nMFsY1Kb+rzFVcuYrZxqJy7TXG7CJRlYOMWYBjtqyEYdfI3CrDWCnm\n",
       "coUBYaYF0ywcAca5Z7ZcdoqvrYhSDADOblmXZ2K2FyuYrXMo6bNLaY2CLCel2ErT32/HMiFmyQOy\n",
       "pTy9VDD90PWXlIzuHgeUJ6tJabipj1xWkOyEj5iXr/u+7a+7iFZegcbKIX52eb8c3e2gInTmsTtK\n",
       "ctBop2UFWjs4Ts/Rjpk8oiwEtisJ58Fsj6kYQaFQKBaJ8QKtjOqw0MX2me6gkmH2J/mcynWAZ6kD\n",
       "s7PsaPs1Djp8vqi46VcSyLqsUwOzp5aXRzaWCpabUJbbQE677FnuyDJbx3ABoEsd51gsy2zPdQal\n",
       "Mtcxs71AZnnr3QizjcRvDfqAmO0q3e+aDcLDzJZ3S+4aIlmpDvBy1Dbd95gyOqfLnqW6vkuIzbo+\n",
       "Bnzfh2yWAuBQ2T3TKtn8QYUbEqHOwx93jJfZbiwecxWbzS8hD9puoDJbhUKhWABYyb7fWOhi+3Q3\n",
       "vHFmN+69WCezXaTzwSIQy9QQsB/S1k6cGtpsQJ7T8YJpJZTxNiGZrQmyKhTlEWU56FDGARdg5jy5\n",
       "Rz8fYbZnSfP8/IYvr3Pgn25x7ha7YtfIbJeIFXYG/n6dm3B/pZx9AQAS23dJwGYjgWyCnFjUL9RH\n",
       "ru+4PznjgOv74HmQPJ2fXd1zPkyIhXbcoEiGoYPOOFIXDxI0H5ntwVkvlNkqFIoji0PlQaZQKBSH\n",
       "FeYA7YQXutie7YdR08Po8WUF2XFClYIsZgDOogM2/XLKG2n5ba/QFpgTMhqbdrzLig+O6WsdGNhR\n",
       "4VzXixGc+OBZihn8PIkUzm9RZgy39ec04BEFmVAfbJAYYZ3MhjrWtGtYMYkS23fsFLFE23knRmjS\n",
       "fn6ZUrBzH7m+4/5kBZnre34egeiATb8iCrKjiipRoEOlyGwOXbMXO9u6DDV03msB3APgbcaYT1dd\n",
       "T5mtQqE4stitne2UGWrceR8A8DmECaJLWOhie5DcZA8KHPfhtzord2JujhzpnnM7SW6ZLbFZVv6M\n",
       "KW/XOCvO7ZHSsksuzxd6BYu9SGz2PCnInDKM2exzG5QZg0y/BlbxNiRHh9j2TojRD4gh9ilGbEyx\n",
       "1og4Q7QCZsuuv0W5R1Gu2i3PVhPqo8T2XdifbPplHSiyuCNDYAYWUZAd19TWsR3tvLAHBVlthhqL\n",
       "XwPwSQCvrbugMluFQnFkMRrs2vSrNkONiFyFYgH+BygW2x1Xdl1sDwgCOVZFoI6Juy47MlDZmSgl\n",
       "JGM0FITFZJ6VuUwKgcw2CDpTDNJ1krOyo8JzltEym10nltvjjBpW7hsyW5QgRPUadN+jkR+mMVkv\n",
       "m4y1LZtcpni3K30OimMDp1D2h/6I+9v3kes77s/ADGzi1MDPo8L0yz7T1HsGKxaAPchsp/nibQB+\n",
       "0xhjpFA4HBwxgkKhUCwSVWKEhzrreKizET1mMU2GmtcAuMsqdk8D+BkRGRhj7o5dUBfbfUYsxKJU\n",
       "RK93Ue0TYm0sL5zIbMlg3zS47BmYY7asLd4gaxEXPIZlts9tlK0NmM12OdtxZ28y20ZGrr3EvmPf\n",
       "Y9deF45xhRjmKslON5rFfa00/Xc4X1qL+sj1nQQOECTftX0fPI+KZ+ee6UEKsXgcUKUge3m+jJdT\n",
       "4KX/6/wz20+pzVBjjHmJK4vInQD+pGqhBXSxVSgURxi7FSNMmaHmkqCLrUKhOLLYi7tuXYaabfXv\n",
       "qrueLrb7gNj2kRVkvP2MRZGqMv1CoyjzVnecer99Nv3q29BNPTL34hi0rsxKsY1IVC9WhLHooE/1\n",
       "/aiCrKwlloSUYjWiAxY5XMj87662slK7T1HsAndffN8sRhjnpHC0fZdQf7o+BuKmX7EobYB/plWG\n",
       "+25MzNsU6riBYx3vN3SxVSgURxYHybRfF9t9RozpJIFihSOAFY8rJYWMENNyihyT+jpDx9nFtW8V\n",
       "Bz1ikMxsN22ZXWXZBdex2AGxXWazPVKsDbqFvdOo52PF1jHbcZMicZlW6dyUlGK9ji+7Nq4Rm92M\n",
       "MHa+7z4pUYZjMgOzfcf9GSjL7HF+HikrLAPl5s67GcV8cJB2CrrYKhSKIwtltooSAtMvysqaJGXz\n",
       "ocDcK/MMThq2TAwRxMo4I60jdt2A2ZJTg2W0G0FcWnZUGAX/AS+bBTybBYDB5gUAwHjomfGIypOm\n",
       "EgsfR44DPlhNg+ShjYzyndW0e6td3CPfNxWDPmq6vqP+nPQxfN8HzyOteHZJ2fRLMX8os1UoFIoF\n",
       "QJmtQqFQLADKbBUlBNGgIp5HgN+ucl24xXUKHYolkPhyLNpSj5RDvSHFELDxBDrkVcamW64ciA56\n",
       "fus/JFfIYb9QjLGCLCYmGLNZFSnIWHHmyn0SI2QUFcy1i9vdodgI7h57QYJQQ2XfHtd33J+skHR9\n",
       "H3tGpfoa0y/FfNA/OJZfutgqFIqjC2W2iqkRstyCSaUxpRgAOMUasVkEjgJ+4A3G5ahfAzINc8kZ\n",
       "OUnjkGiCY5BDTuJIzHXU92XHcpnNjofeNMyBzcG4nNA9JJZZDptk0jYot5HbzeW6+w4mp+3vsD8p\n",
       "9oHt++B5pNRWpbH7DpXZKhQKxQKgzFYxQcwUSCqcGnxdhcw2K9jemJiYoSCxHADJZTwYjOLG/X3L\n",
       "/PrEAEds/G8ZJLNKZq7Dflk+O+p7c7DRIGL6FXF02H6t1GZPiLFZbiO3ux9xYOD75uwP3Eeu71ju\n",
       "nWQ7y2wZdc9RzcDmD2W2CoVCsQAos1WUMA3LiTIodmBwZWKzhmW2xmvoHYMb02CMMUCuG0eCw4Ry\n",
       "WCoPyvLZ0SB+bgyB627ke/x9M6bcahFGHmPsfN8B46f6CaOV+E4iKLt2V7BcB2Wzi4UyW4VCoVgA\n",
       "BspsFQqFYv5QMYJiR4RpcdjXPikfTyJl2qryWOOy20YHjg6BoqgocyxZVpC5MptojSpECqPo1r+s\n",
       "DAu+wyZUQ29a5a4V/G60XeV74fIo0hdARX9VxK2QyPNIkvizqxMvKOaDgyRGqB0BInKLiHxLRL4t\n",
       "Iv+s4pzft8cfFJFXzb6ZCoVCcekYGTPVXwyzXvt2XGxFJAXwIQC3APgxAO8QkZdtO+etAH7UGHMd\n",
       "gH8M4PadrnnU8AMcztzUbpCN6W80Lv6+/ddfnZTH9McwY1P8jUb+b+z/gnMjx2v/6Lrh75aPT9pC\n",
       "beR2u3t58ptf8/fF910z6Q4yDuv4WxRGZrq/7ZjH2lfHbG8A8Kgx5nvGmAGAuwD8/LZzfg7AxwHA\n",
       "GHMvgJMickXNdY8MjuJg/+6Df7XfTZgLnn7k6/vdhJnjKI6/WWIPzHbma1/dYnsVgMfp8xO2ru6c\n",
       "q2uuqziEiDHI6nPHk7+9/+7015q2fYrjgd0yW8xh7atTkE07arcbD+poVygU+47+7l+8M1/76hbb\n",
       "JwGcoc9nUKzeO51zta0r4Q58v+bnDie+jguX9gUmaJvb/gPAs8HF9wf/7kP79MNldOpPmRoPfvrD\n",
       "M7zawcAlj79jhD2sOTNd+4D6xfY+ANeJyLUAfgDg7QDese2cuwHcCuAuEbkJwHljzDPbL2SMUdcZ\n",
       "hUKxMOxxzZnZ2uew42JrjBmKyK0APg8gBfAxY8wjIvIee/wOY8xnROStIvIoCn72rl3dmkKhUBwQ\n",
       "zGPtE3MIzV0UCoXisGHmbi1H0Qmi7p5E5BftvTwkIl8RkVfsRzsvFdM8K3vea0VkKCL/aJHt2w2m\n",
       "HH9vFJH7ReSbIvIXC27irjDFGDwtIp8TkQfsff3yPjTzkiAifyAiz4jIN3Y451CtFTvCGDOzPxR0\n",
       "+1EA1wLIADwA4GXbznkrgM/Y8o0AvjrLNsz6b8p7eh2ANVu+5aDf07T3Ref9GYD/B8B/v9/tnsGz\n",
       "OgngbwBcbT+f3u92z+i+/jcA/9LdE4DnADT2u+019/XTAF4F4BsVxw/VWlH3N2tmexSdIGrvyRhz\n",
       "jzHGqYTvxeGwM57mWQHArwH4JIAfLrJxu8Q09/QLAD5ljHkCAIwxZxfcxt1gmvt6CsAJWz4B4Dlj\n",
       "KKbmAYQx5ksAzu1wymFbK3bErBfbo+gEMc09MX4VwGfm2qLZoPa+ROQqFJPauSEedAH/NM/qOgCX\n",
       "icifi8h9IvJLC2vd7jHNfX0EwN8XkR8AeBDAry+obfPEYVsrdsSso34dRSeIqdsmIm8C8CsAbp5f\n",
       "c2aGae7rNgC/aYwxIiIoP7eDhmnuKQPwagBvBrAE4B4R+aox5ttzbdneMM19vQ/AA8aYN4rISwF8\n",
       "QUReaYxZn3Pb5o3DtFbsiFkvtjM3BD4AmOaeYJViHwFwizFmp63RQcE09/UaFDaEQCEH/BkRGRhj\n",
       "7l5MEy8Z09zT4wDOGmM6ADoi8kUArwRwkBfbae7rpwD8NgAYYx4Tke8CuB6FvehhxWFbK3bGjAXe\n",
       "DQCPoRDk56hXkN2EAy70nvKerkGhwLhpv9s7y/vadv6dAP7Rfrd7Bs/qvwbw/6FQOi0B+AaAH9vv\n",
       "ts/gvn4XwPtt+QoUi/Fl+932Ke7tWkynIDvwa0Xd30yZrTmCThDT3BOA3wJwCsDtlgUOjDE37Feb\n",
       "p8GU93WoMOX4+5aIfA7AQygcpz9ijHl4/1pdjymf1e8AuFNEHkShi3mvMeb5fWv0FBCRPwLwBgCn\n",
       "ReRxAO9HIeY5lGtFHdSpQaFQKBYAzdWhUCgUC4AutgqFQrEA6GKrUCgUC4AutgqFQrEA6GKrUCgU\n",
       "C4AutgqFQrEA6GKrUCgUC4AutgqFQrEA/P9AJYANNmH7AwAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc57af98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# color map\n",
    "alpha = 0.7\n",
    "phi_ext = 2 * pi * 0.5\n",
    "\n",
    "def flux_qubit_potential(phi_m, phi_p):\n",
    "    return ( + alpha - 2 * cos(phi_p)*cos(phi_m) - \n",
    "        alpha * cos(phi_ext - 2*phi_p))\n",
    "\n",
    "phi_m = linspace(0, 2*pi, 100)\n",
    "phi_p = linspace(0, 2*pi, 100)\n",
    "X,Y = meshgrid(phi_p, phi_m)\n",
    "Z = flux_qubit_potential(X, Y).T\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "p = ax.pcolor(X/(2*pi), Y/(2*pi), Z, \n",
    "              cmap=cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max())\n",
    "cb = fig.colorbar(p, ax=ax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from mpl_toolkits.mplot3d.axes3d import Axes3D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAwkAAAFdCAYAAABIGyFEAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvXm0HNV17/+tuYfb3bqSkAVCiEFCWAINIANmiInt2DEE\n",
       "24nj5bd+K3m838rPIYCd52E5L/Zz4mU/x3Hyi2PHsY2J87J4/vlhiDHOIw7EJgaMkRBCQkIDCA2g\n",
       "GUlIukNPVV3D+f3Rd1efqq7que/tvvd81uol3e7q6qrqrn3OPnvv75YYYxAIBAKBQCAQCAQCQp7p\n",
       "AxAIBAKBQCAQCASDhXASBAKBQCAQCAQCQQDhJAgEAoFAIBAIBIIAwkkQCAQCgUAgEAgEAYSTIBAI\n",
       "BAKBQCAQCAIIJ0EgEAgEAoFAIBAEUJu8LvRRBQKBYOaRZvoABhgxTgkEguliTtliEUkQCAQCgUAg\n",
       "EAgEAYSTIBAIBAKBQCAQCAIIJ0EgEAgEAoFAIBAEEE6CQCAQCAQCgUAgCCCcBIFAIBAIBAKBQBBA\n",
       "OAkCgUAgEAgEAoEggHASBAKBQCAQCAQCQQDhJAgEAoFAIBAIBIIAwkkQCAQCgUAgEAgEAYSTIBAI\n",
       "BAKBQCAQCAIIJ0EgEAgEAoFAIBAEEE6CQCAQCAQCgUAgCCCcBIFAIBAIBAKBQBBAOAkCgUAgEAgE\n",
       "AoEggHASBAKBQCAQCAQCQQDhJAgEAoFAIBAIBIIAwkkQCAQCgUAgEAgEAYSTIBAIBAKBQCAQCAII\n",
       "J0EgEAgEAoFAIBAEEE6CYFpgjM30IQgEAoFgSBBjhkAw8wgnQdB3PM9DuVyGbdvwPG+mD0cgEAgE\n",
       "A0ylUoFpmnBdVzgLAsEMIjW5AcXdKegYxhgcx4HjODBNE5IkAag6DYZhQNd1KIoCSZL81wQCQSTi\n",
       "BolHjFOzBBozLMtCpVKBJElgjCGZTELTNH+8EAhmkDn1A1Rn+gAEsxOKHliWhWQy6Rt3xhjK5TIk\n",
       "SYJt2wAASZKgaRpUVYWiKJBlWQwEAoFAMIdgjME0TRSLRaRSKX/MKBaLkCQJlmVBkiSoquovMMmy\n",
       "SIYQCPqJcBIEPYUxBtd1Yds2XNeF67oAANd1A6tAvNMAVMPLlUoFAPyBgJwGsXokEAgEsxfGGCqV\n",
       "ij9meJ4Hz/OgKAqA4Hhh27a/wKQoCnRdh6qqYnFJIOgDIt1I0DM8z/PrDiRJguM4KJVKviPgeR5k\n",
       "WfbTjeJWghhj/oNQFCUQbRCDgWCOIX7w8YhxaojxPA+VSgWMMXieh3w+H3idMQbDMKCqasDuh8cJ\n",
       "SZKg67pISxL0mzn1wxJOgqBr+OgBAN84FwoF2LaNdDrtb0tpSIqiwHVdSJLkRwvi6hNoICDnA6g5\n",
       "DfQ+EXYWzHLm1MDUJmKcGlI8z4NlWQAAWZZRLpdRLpeRTqd9e18qlfzFJUVRAmmpPDRGEJqm+QtL\n",
       "YnwQ9JA5ZYtFupGgKyhMTAadIgiUR0rhYCpCo/BxIpEAUB0kKMRM6UY0APD1CZIk+YaeBgPTNP3j\n",
       "kGUZqqoGVpHESpJAIBAMJo7jwLZt306XSiV/nFBVFbZt+/Y/kUj4Y4vrurAsyx8j+FQjGl8oLYkf\n",
       "d8hpEGlJAkHrCCdB0BEUPXAcB4wx3+iWy2WYpolUKgVJklAul2P3wUcRaJ+0X4pMMMYCkQbeaeCP\n",
       "hTEGy7IwOTnpDyiiGFogEAgGC171jmxysViE67pIp9MoFouR7yObrmmav1BEynkAAlGGsMPgeR4m\n",
       "Jychy7K/DxofxLggEMQjnARB29AqDaULybIM13V9457NZqEoChzHiXw/FaCFjTMfMdA0DQD8AjZa\n",
       "PaK6hqgUJdqvoih+hIMvhg6nKInBQSAQCKaP8NjBGEOhUIAsy8hmsy330eEXmAzD8B0G27ZhmmZd\n",
       "WhI/tkiSFBgbKAJNUQaBQFBDOAmCtuCLzGiSbZomyuUykskkDMPo6eRblmU/lQhAINJAaU58ahLB\n",
       "ryTx7+MdF1EMLRAIBNNDODWVipR1XUcymQws9LSLLMvQdd3/nKi0JIo4h6MMNC6Uy2V/P2JMEAiq\n",
       "CCdB0BLhEDEVkhWLRXie50cP+g0vj0rHRZEGcgCKxWJspIE/Hyqi5ouheelVsaokEAgE3RNeXHIc\n",
       "B4VCAclk0q9P4+lmch6XlsTLq/JOAH0WORGUvsTvR6QlCeYqwkkQNMV1XZRKJd9QUri2WCzCMAyM\n",
       "jIzMmAHlw86MMRSLRSQSCd9p4IuhaeLfqBjasqyA2oYohhYIBILOoboBsr+WZaFUKiGdTvur//0i\n",
       "PD6QvefTksLFz0Q4ZVX0ZBDMRYSTIIiFoge2baNQKGD+/Pl+9MBxHGQyGX9FP4pOQ8fd0qgYmlaz\n",
       "WimGBqpN3shpoP4OvKyeGCgEAoEgGkrjKZfLyGazKJfLsCyr6djRLyg6ANSnGgHwI8lRakkUeaYx\n",
       "JZlMip4MglmPcBIEkYQbowHV1ZdisQhN05DL5YbCMMYVQ1PYmYqhednVcGdoggrsKK1JFEMLBAJB\n",
       "PeH0VIryuq6LbDY7EKmcfOoqn5ZEYwKlJPERdKA6flDvBsuy/P3oui7SVAWzDuEkCAJENUajVfVi\n",
       "sYh0Ou1PtocVSjkiGhVDhyf//Hv5axVu8iYK3wQCwVwkrGAEVCfWjDFks9m2beJ0RKTDctx8nRsV\n",
       "P/MOBYBAlMG2bX/MFD0ZBLMJ4SQIfMLRA77ADMDArAD1mkbF0JS7SobedV0AaLnJmyiGFggEc4Uo\n",
       "BSOSxm6ldm2mUlTD0GIQFT+H05KAaipVXE8G0zT9cUMUPwuGGeEkCCKjB0C1A6ZlWUilUn4H5V4w\n",
       "KANBHFFN3igfNaoYupmCUlQxtGjyJhAIZhPhRSbXdZHP52EYht/5eBgJpyW5rgvTNH1nKC4tCagv\n",
       "fhY9GQTDhnAS5jjhlR8y7pR/n8vlIMtybBfMRgy6M9Aq/EoRyfX1ohiaXqcBSBRDCwSCYYSXOJVl\n",
       "2Ve/S6fTUBTFnyQPO3xDtlQqFZuWxI8B4Z4MlJ4qUlMFw4BwEuYofAh1uhqjzRYaFUPTNaViaL4g\n",
       "OqoYmvJZw+oafLRBfAcCgWBQIQU8sovlchmmafoKRpSiORuJSkuiSAMA34bz0WZZlv0oc6FQCKjm\n",
       "ibQkwaAhnIQ5SLiwTJZluK7rRwumqzHabIIfLIDWi6FpRcl1XX8VLq4Ymnc6BAKBYCYJKxgB1RRV\n",
       "x3ECY8hsiSg3g48K67ruLxyR/aeUpHCUgaL4cWlJoj+PYCYRTsIcI9z5EoDf3CaRSCCRSEQaJDL0\n",
       "nRqruWbkooqhSXaViqHJsaBGP/S+RsXQlNYUDlPPtesrEAhmjigHoVAogDGGTCYz5xcy+Lo2Xdf9\n",
       "6+W6biAtCYA/robTkhzHQalUCjRxE5FlwXQjnIQ5AtUeFItFpFIpyLLsK094ntfX5jaVSgXlcjkw\n",
       "IZ4LK0s85DQQvIISDR70fLNiaMaYKIYWCAQzAmMskCbDGEM+n4eqqkilUj2xPeVyGbZt+8XCvRov\n",
       "Zmrc4VWO+CgziYWYphm56EPnTotE/H5EVFkwHQgnYQ5A0QM+d5QcBsMwWpKm6xTGGMrlsr+aQmk1\n",
       "pmlGFvrOFcIKSjQIUOoRhZ35FCVRDC0QCGYSioRSLRuJXBiGERuF7gTHcaBpmt9fwbIsuK7bVdPK\n",
       "QbGBvH0moRAq9o5LSyLCakl8lEHYeUE/EE7CLCYcEqb8x2KxCNu2MTIy0nJjtHbzSqk7M1CtcaAu\n",
       "xZqmoVQq+Z9Lqylx6kBzBZrc0yoR0LgYOnyNooqhaZUKgF8vQStQc+naCgSC7olSMMrn80ilUjAM\n",
       "o+F7Wxk7qJAXANLptF8z5ziOv8gUJzs6rJDd13U9Ni2JzjNKLYmkuWlfqqrCMAxh4wU9QzgJs5So\n",
       "xmg0aWSMIZfL9cWIUOQg3F8hXM9ABi08Iaa+Ao0mxHOFRsXQdI0aFUMT9J1UKhU/5UkUQwsEglbh\n",
       "o9CyLPvRhEwm03ShqRW7TREJVVUDdQ70frJzfEEwyY6SDaOJ9DATTkvyPA+O4wQizXFpSbQdfU80\n",
       "vs6G6yKYOYSTMMto1hgNqHa+7Afh/gqSJEX2V4gaNGhCTLQ6IZ5LxBVD852h6Rrx//KOA9WEhDtD\n",
       "U10DH2mYa9dXIBAEaaRgpOt6y5HoRjiOg3w+j2QyiUQi4Y9TRDiK3agbMtm52ZB+w9tswzB8h4Fs\n",
       "fZRzxNf92bbtN7GjRSFq4jbM10UwvQgnYRYRFT1wHAfFYhGyLCObzWJiYqLnn0s5o+H+CmTYOykW\n",
       "azQhjpMUnWtEXaPwKhufZkZFcHHF0HyuK61oiWJogWBu0kjBKJFIwPO8rj/Dtm0UCgWk02nout72\n",
       "+3kbyK+8W5blp7CSDRt2ZFn2r1GUc8RHFeLSkkzTDEQrhj1dS9B/hJMwC4iLHpBRSKVSHRlgnria\n",
       "BF4hKdxfoZfGp1VJUaC6MjVXIw28w0SDAw2c5AS0UwzNOw28gtJcvL4CwVyBz/8n25/P56EoCkZG\n",
       "RlCpVLpukkbS2+3UxjUibP/CK++UtkQLTMNMlHNE30mxWKxrxhmW1eaFLvieDMN+XQS9RzgJQ07Y\n",
       "mJNaQlRjNH5lvxcTvFYVkui4evW5tM+wpCh1uozqQzAX8+75QdO2bei67jdra6VgPFzXQAMuEdWv\n",
       "QSAQDDfhMcXzPOTzeei6jmQy2fZ9Hl7hJnU7y7IiG3fSNt2OF+GVd9M0wRhDqVTy0ytnQ5SUT7Gi\n",
       "Img+BTWclhSOMvARCbpmwqYLCOEkDCn8zc0bU9M069J+iF7d8GRo21VI6ie84Usmkw1Tb8JFvnMF\n",
       "Wk3qtBg6HG2gEDY5pryyxlx0ygSCYSesYETpQK0oGLUCYwzFYhGu6yKbzTa0Eb2ORNMEWdM03+ZR\n",
       "XdZsipA2qtkAUCeNzTtxJHIBVGsMU6mUSEua4wgnYQihoiSSiJuOxmi0uuM4jq9C0S+FpF7QKPWG\n",
       "70MwKE4DDcr93H8U7dZ+0AAUDmHT9QwXGIpiaIFgOAgrGDVKB4pLP20EOQhANcI9U7aAt3m87Gi4\n",
       "T8F0TIx7GV2P2lejmo0oKVl+PmFZlujJIBBOwrBBCkIA/EjBdDRGo+Jk27Y7LjKbSXingVZYwhNi\n",
       "ILp52WyhlXNpVAzNO6ZRKlN07eh9ohhaIBh8yA6OjY35ynelUgmVSiUyHahT2unKPF12gSbG1Kcg\n",
       "HH3mu9kPe2Q0qmYj7lzJAYwqfqYUVZGWNDcQTsKQwCtNkKoErcyQXnUr0YNOagNoIg0AuVyuLWPZ\n",
       "yYrTdMCvmkQ1L4vK15+LxEVkws4Vr5rUTjF0uF+DGGwEgumDH1eo4WWr6UCtwjfS7KSmYTppJVVH\n",
       "luWBHNPapdm50m8jqicD1XgAtYUlXddFmuksRDgJQwCfJ0o3q+M4mJychKZpfW2MVqlU/EKvZDLZ\n",
       "EwMwqI5DOF+fT08i7e5yuTynV8KjnAbKY+WLA1sthqaBiRDF0ALB9BAuUAaqq/0kl93s3mvFhlNN\n",
       "AwAkEomhup/jUnVokcM0zVljp8LnyqvhRaVghReAbNv2RS1EWtLsQjgJA0xYp5pWMEjqbGRkpKO0\n",
       "n1aMe7jGgVYX5hLkNJDhLBaLvnJEqw3enn++gv/zf4oYH2e4+WYDH/lICrI8e4wmX9RMK0lh56rT\n",
       "YmgAgcFJrFIJBL0hSsEIQE/TgfiaBnIUWmEQF5HC6aq0cMYrCEXZqGfmbwjs59fObZ3uQ28bPhqc\n",
       "SqVi05L4BaCotCTaFzXdmw3O1FxEOAkDSlxjtEKhEMihbJdWbtLpqHEYVlot8gUUfO1rNr7xjbMw\n",
       "zeqA94MfFHH//QXcf/9CnH/+9KYv9bJArhm8c0Wf3UkxNA04NNlgjPkrVKIYWiDojDgFIwA9SQfi\n",
       "JU77IaIxCNAYDAQjojSJVhQFWy66qba9Vr2mG5dcixuPb5mRY+6UqLSkRspQ4YUfy7JQLBYhSRIS\n",
       "iYQfKRYLPsPB7Lt7hxw+egDAjx7wjdHoRu3HZ/dD2nS6VoX4nMnpmDjGKQN5noc//VMXP/5xzUEg\n",
       "nnuugg996E387GeLkMnMHiPZ6Jp3WgzNDzgUnQBqdQ00yeGdBhHeFgjiiVMwSqfTviPeDTSGOI7T\n",
       "dU0Dn147aJEFnqi0pBdW3gRZleABkNWgPeqXozAd416rylDhKINt275DWqlUAvVo1MRN2O3BRDgJ\n",
       "A0RU9IDUjGRZ9ouGqeV8J8QZXF7aNMq4d2qo59KNTwb0G98AjhyZxKpVaZTLDl55xQSfrbV7t40/\n",
       "+7OT+Nu/XRxYNZ8r16rVYmg+0kC/PT60Te/l82Hp9XDHUYFgLkMLGOQgANX6Kn61v1Qqtby/qPGA\n",
       "MYZCoQDGGDKZTGAM6WT8GMb7VpIkvLju1+A5DJImQwmtszG7JjoyyOfXyvGFlaHIYaA0Uz4tiZdb\n",
       "pf1TWhJ1wyaHQfRkGCyEkzAA8AYcqBnHRo3RevnZpmn6UQpd13v+ORRypAncIK8KdcvevRJ++UsP\n",
       "v/gFRXpULF2aQTpdwd691eLnt72N4Z/+aQc2bLgCv/3bbwnk8Q/64NEP4oqheaeBrkulUgmsUkU5\n",
       "DaIYWiCoEa5tAxC72t+pbaauzIqi9CRFle77QRwvmh2P59S/riRluGWv6jgkZWxZdSOu2vYfAGrZ\n",
       "AsNul/iJfjgtiRZzAAQixfwiGa98R9FhijIIZg7hJMww4QIyih4Ui0Uwxhq2re8W+hwAPdXD5mGM\n",
       "+YMHGQqaBJIKzmwJNW7eDPz+7+tYvPhs4PmjRxmSSQ0rVwKmaWPXrt0AgC9+8XXcdtsSjIzI/qBo\n",
       "23bPG7xNxyDby0EuSp6WCqDJ4aTQNl/b0KgYmvJnAVEMLZg7hMcXWu2XJKlOwajT+9d1XeTzeei6\n",
       "3rOahlKpBEVR/GMn+zIoTn7cMbx47c1QktH2hBwFQtd1VCoVf/U93Al5mOHTkgzDQKlUgiRJsYXe\n",
       "4eJnXo5VlmXRk2EGEU7CDMHfCPwEi3JEE4lEXyTjaKDo9+fwspipVMpfLZckyVevofSqRpKZw8LJ\n",
       "k8BHPqJj4cIKXnrJrnu9XAbOntVx6aVv4PDhapTh1CkL3/3uEXz2syvgOI5vBMMr6L26NsN2TcOQ\n",
       "tB7QvBi6mdNgWZYva8s3ERrW359AECZKwYhSSltRMGoEjSNU9JxMJpFIJLo+ZkqlpePjx4tmSkKD\n",
       "gOewgCMAwHca3LIHLaP42+26+Z1Y9fQT/vnwanDhTsizAaobi0pLonMN99iJ6skg0pKmF+EkzAB8\n",
       "ig/1HghLjjZThOh0dZgm761+DtFO9IKPUPASovy+KAUEaN7EbBgmbR/4gIqxMRkrVxaxf3/0Nhdd\n",
       "5NUVnH/3u4fwsY9dAlWtSc+10+BtGK5NP2hWDE15rlHXKuw0ANVi6EKhEIgybNy4Ee95z3tm5PwE\n",
       "gm7wPA+Tk5N+2objOMjn801TV9sZVygqkU6nmyrttTJ+UI0ETRpJqIAfLxrlvc+0LXzppndASynV\n",
       "gmWH+QXLfPoRRRP0ebVxl7dTUV2f6bVmikAk5NAL+pn+FE5Lov4T5CDyTmCUva5UKn7kSlVVPPfc\n",
       "c8JO95HBcsPnAGTceJWJSqWCiYkJKIqCbDbbdOLe6c3LK8nkcrm+SNNZloXJyUnouo5MJhN5rOEB\n",
       "gybFiUQC6XQaqVTKNyAkn1Yul/3+EIOWo/qtb8l45RUF2ayLl16yYrcrFk9g27YCrrlmgf/c2JiN\n",
       "f/zHw7HvGYZrwxcVzxQ00FLKQzqdRiKRgCzLfti6WCzCNE3/PuDVU2iFiwYm27bxpS99acbORyDo\n",
       "FH6M4SdVdE/E3aft3L80octkMh1JcfNQelGlUokdM/hj5O0hFcyapolSqQTLsmbMDqqJ+vFUUiQo\n",
       "RnWalVhQrxb48i2/Ufcc2XyyY5qmwfM8lEqlGT/HXkO21zAMpFIpf9HUtu3A2BZ2GCly7HkevvjF\n",
       "L87wWcxuRCRhmggXj9EPvVgs9lxyNOqzaZWGbsh+pBcVi0U4jtO1NnYjnX0+H30QVtNdF/jrv1YB\n",
       "SLjyyhI2bYre7qqrgF27zgEATp8GZFmC51WN/H33HcZHP3o+Wvn6W7k24bSb2UC7q2StFkPz14l3\n",
       "dhzH6dv9KBD0g7CCETkItm33rF8BL5NN0bxu98dH0Nu9x3k5Tn5FmlJ2piuP/eX3vBuO6UCSJSi6\n",
       "DEUHJFmCO6VmRI4CACQWGvBsF57LYGSaR2Ciuj5T+g2/6j7ItBqZoPoDeg9fmxC26bS/uRhJn05E\n",
       "JGEaoBxochBoEkITl1wu19aEpJ3UH8dxMDk5Cdd1fQnVTon7TNu2MTEx0bcIBRlKWm2g1ZWo1fRG\n",
       "x9kP/vzPZYyPV6/p2Fh8V2rDOOf//+hRC29720L/7xMnTDzxxJmOjF3UtSEjS03xqPsl/ebmInwh\n",
       "NB+VocGXVkYty8LPf/5zPPHEExgZGWm4T9M0cd1112HdunVYtWoVPvvZz9Zt8/TTTyOXy2H9+vVY\n",
       "v349vvzlL/frFAVzGFqE4iVOqearleg00HxcoQm967pN741Wjzmfz0dKprZLeEU6lUrVrUhTAXQ/\n",
       "YB4LRBIkufodhKMLit6bc0yn0/6qO9l5WgChVfdhh8a2RCKBVCoFwzAAwB/nDx06hB/96EeRv21h\n",
       "m3uHiCT0kXD0gKTOKGQIoCfGNu6zLcuKlFDtxFBGTWD52opW8lJ7RVQ+OhlIAL4yRr8jDeUy8N3v\n",
       "Vo9hyZIKbBtYvVrB/v0upuwYAOC88yRs334i8N6TJz1IEkBfxfe/fwLvf/+Sro8p6trQ6hrl6kd1\n",
       "O+6G6ZDv68dnhM+9UChA0zS89tpreOihh7Bz505cf/31uPnmm3HbbbfhlltuCbw/kUjgqaeeQiqV\n",
       "guM4uOmmm/Dss8/ipptuCmz3jne8A48++mhPj10gIKiAmFJJAfj9CpLJZE9WmanoWZZlZDKZrifb\n",
       "JJnaiyLqKMIr0tTwi8YJXkmoW15+z7uhJhQ4pus7BY5Zk2DmHQXPrtWkJecZ8FyGA791K1b9/D/a\n",
       "/lw6R0q5IkeoVCp1XasxaJKsfBSBnNXJyUk8+OCDeO655/DOd74Tv/Vbv4U77rgDCxYsELa5h4hI\n",
       "Qp/wPM+XN+OjB7Sq3yz3shHNVnzIoFuWhWw2G8hD7dWNT7J3tm0jl8s1dBD6vXrNr6YDiM3b5/N0\n",
       "e8F//a8KbFvG2rUeVq60ceCAgj17FGiajhtuqF2PlSstuG7wMw8ftgK1CU89dQ5Hj8ZHIjqFlw2k\n",
       "HFdyGG3bRqlUCuTqz5ZVqE5RVRV/9Ed/hO9+97v4yEc+gq9+9avIZrPYuXNn5PapVAoA/AnI/Pnz\n",
       "67aZq9EbQf+hlCJyEBhjmJyc9HP3e4Hrun4RdDqd7jjiSfcB7U/X9UgHIervbu4huhZUxE2pSeVy\n",
       "uSc5/olcddyh6AFQdQwkpX56paU0KJoMWettehAfKY2r1ZjJSHIvnQ7a19q1a3H//ffjpptuwic/\n",
       "+Uns3bs3IHUtbHNvEJGEHsNHD4BaoxTqLEgNy2jbMLbt4e/+7ggeeugkFEXC+98/Hx/96FKcd15r\n",
       "8nIUejQMoydNbaJoRz51JlYjGkUaGslltsPEBPDjH6u44AIPO3eqWLmyFjooFoFNm4AbbjCwaZOF\n",
       "EydORe7DdbkVJg945JGT+NSnlndwxq0TlavPq2mEux33qldDt0y3MS8Wi8hms7jlllvqIgg8nufh\n",
       "6quvxsGDB3HXXXdh1apVgdclScKmTZuwdu1aLFmyBH/zN39Tt41A0Am0EEWTJtd1USgUYBgGEolE\n",
       "ZAfl/xhZAwCQNAmyKkHSZNxy4sXqcxGTcV4ViZc47XTiTvvj00ei6Nf93k6Of6s2zy7XS14DgJ6u\n",
       "2vdK0YGWUGCbLhRdhlvxYGR0P6pATka38EIM4VoNfuybTfKqpmkik8ng9ttvx+233x54Tdjm3iCc\n",
       "hB5COaBRjdGAYMOyKCNYKDj44Ad34Nlnx/3nduzI44UXJvHFL16KNWtGAUQbaL5wuFERdKfGndfZ\n",
       "7kVx8nTSD6fhc59TYNsMJ0+qWLTIwauv1q/Ab9rE8O53q/iP/xiP2APw0ktFLFmSxPHj1QjCj3/8\n",
       "Rl+chEarOK0U+AKoS08Ky9JNx2DTz88I3xPFYhHpdLrp+2RZxo4dOzAxMYH3vve9ePrppwNOxdVX\n",
       "X42jR48ilUrh8ccfxwc/+EHs27ev14cvmGPQvUkryLQ41GjyzTsIQFWaU4aHZy66Br92ZFvd9rTP\n",
       "XqWS0mR8OlNTG8HbPsMwfIeBxgReDjnO9hz7L78D1VDhWE7k6zzkNEwnvZJXHVTK5XJsfw5hm3vD\n",
       "8P0qBhA+75scBKAmB6ppGjKZTCA3NFwfwBjDPfccA5CEpgUN0uOPj+HP/uwgfvrTY5GfHy4c7ocq\n",
       "C61a9VM+dbpopdi3UYiWMeCnP60aVs+TcNllFuL8LsuqYOXK6LoTzwMuuSTn/71rVx779xd6c5Id\n",
       "Ei7wJVk6avJmmuZAyK72C7ovS6VSS04CkcvlcNttt2Hr1q2B5zOZjB/2ft/73gfbtnHu3LmoXQgE\n",
       "TeHz62khiu7JkZGRgIPALwj9YnQtJE2q6wYsaTI8h+GZi64JPE/77IXEKQC/63mv9tcPKMefCp9V\n",
       "VYXjOJFSnITnuNCS1fFWS2n+g4ciBapRHTONjO6nHCVHkwCA1z58W79PD0C8vGo49Yqfx3RLr8cH\n",
       "flHKsqymTfyEbe4O4SR0CS8zxxcnFwoF3yi20qr+vvvO4KGHxvHsszauvPICpFLBnMWf/3wc//2/\n",
       "v4KlSx/BgQOT/meXSiUUCgV/stsPaVPK5+8mJzVqv4NCuwpB990nYWJChuOQoarE7vvYsTG4rgFF\n",
       "ib5mBw4E3/uTn7zRi1PqGY1UgWjgN03TdyL75TT0O1oR3n+5XG7qJJw5cwbj4+P+9k888QTWr18f\n",
       "2ObUqVP+9diyZQsYY5G5sQJBM6IUjEqlEkzTRDabbbg4JKuS39yL/lWSiv+3pEnY8453+4WvtM9u\n",
       "m3ryBbXJZHJoFpca9Soge/fGH34YAOBYDmQ1OF6HU4gUo3be4W1nijj1IFoco0ev7Hl/xEOqwixh\n",
       "hG3uHcOqjsi3AAAgAElEQVRxxw4gpChRqVQCedvt1ATQSs/p0w6+8IXa5HD7dgvr1i3GSy8d91eo\n",
       "GQPOndMxPu5iw4af4d/+7TqsWVNN/WhH2rSddCM+VapR/mgrn8cfX7eFaP0mLj2JinsfeECH51UN\n",
       "vaZ5eOWV6FDzRRcBr7+eBwDccMMCbNp0pm6bkycrWL06hz17JnDFFWn8/OeH8Cd/sqJPZ9Ybwl2h\n",
       "6T6gQnG+jwWlcQ1b7msr6UZvvPEG7rjjDnieB8/z8Pu///t417vehfvuuw8AcOedd+Lhhx/Gvffe\n",
       "66u4PPjgg9Nx+IJZBi0IAfAj0qRglM1mI+0/2VmKEkhadRtme76DAFTTjvSsAtfy/PTCuH3y+271\n",
       "mB3HGdp0FqC+joHsXbcksobfR2GmCaedmqbpn6tpmoFajZn+HvkFnTgnQdjm3iGchA6gm4ckRnO5\n",
       "nN8YrVlNQBR/9VenMDERNBY7dli4+eYL8Ktf1aQz33zTxo03XoiNG4/gd35nC/bvvxUjI72PHgC1\n",
       "FXQqTqYwZKcM2ySRhwwoAExMJPHyyzWH6fLLy9izJ/p9S5faOHKk+v8DB1wYhgzLqh8UcrkkFi4s\n",
       "4cyZc9i718ThwwUsW9Y7adzpUJeSZdl3JPtRKD7dkYRSqYTzzjuv4XuuuuoqvPjii3XP33nnnf7/\n",
       "77nnHtxzzz29O1DBnIOi1SQWIcsy8vk8FEVpWZxCzVaHerfsQc2qYDaD5zBoGcWvUZBVCXvf+V5c\n",
       "u/W5ru81iqaTE1MotJ5GOchjBY0FsizDLtUcBWNEhzelYEeFzJSG5NoetKQGt+IgNT8Fx6qNo4om\n",
       "w7UBI9N98XIv7TzZdFJJchzHb9jZrrxqP223aZqRToKwzb1jOF37GYRuFNd1fY/atm1fdq6dmgBJ\n",
       "knDiRAX/9E9nI1/ftKmClSuzgee2bi1h3jwd+TzDhz60qS/pRZST32qqVKv7HWbo+L/yFRWVSu22\n",
       "GR2NL1ibmKgVLJ8+7WDDhuhQ5t69Ji66SMKZM1WFjcceO96LQw4wnQNvtzUfg0CpVPLzVQWCmYIa\n",
       "cVKOuOd5fp1bK6mf29e/I1CHwP9fn69C0iQwu3b/yYqEl297d9fHnM/nIUlSV1Lfg0zxv/0B1MRU\n",
       "LUIyON7zf/OpRYpeW5NNjqb81xK5ak79if/nd7s+rl7LjNI++XTTQZJXNU2zaU2CoDuEk9Ai4TAj\n",
       "OQgkO9dpTcA//MNZmGb0zeW6gGFkpj4PuP56AxdcUMDatUmkUmVs3HgGP/95exPKRqk+juNgYmIC\n",
       "1AV6WPJHpwvPk/DTnwavyZtvRsvfjYwAe/cGVY0OHHAQFaldulRHpVLbz+OP995JmEminAa+VwPv\n",
       "NET1apiOwSdK3ahfjQ4FglYgBwGojjeUE59MJltqQMa/Xl+wXP9eLa1BTagwJ6yWji9qLOlFTwVg\n",
       "8BeVSM2IHAUeRZMDjkLYiVCNwahJ6ISwLScJdFr8oZTcfn5/vAMTF0kQ9A7hJLQAGetwYzQKoTZr\n",
       "JhZHpcLwwx9Gy2MSO3daeNvb5mPNGhebN7+G118fx+bNb0JRHADj+NjHNnZySgGouIz0sKNC2N3U\n",
       "EfDF3Z7nDfwAEMc3vmHgzJnaLZPNuti/PzqndOVKD44TPM9Tp1ysW5er29Y08xgZqYWbN258ExMT\n",
       "3ee8ThfthpMpZK/rel2DN8dxYhu89XtFMpxu1I66kUDQS0gtj8Ybil4nEom26sPUkVo6kZKU/Yc+\n",
       "r7bYYYxq0Edqf2sJBXtufVdHx5zP5/1CWP5+anf84JvEDeJ4oSWr471bcaDoKtSEBj2th7aJdxSI\n",
       "RG54J7i8HSdFKEVRfEWoUqkUaPTXD+JqEgS9QzgJDeBrD4Ba9IAm1ORFd1rI8/jjNorFFG68cV7D\n",
       "7TIZDzt2nPT/tiwPV15ZzZc+cuQMPv/5zW19Lm90KTRs2zay2WzHBcqNME3TNxblchm2bfsqHcPU\n",
       "4fehh5IAasbu8sstxB2+YUR3T3ac4ECyZk0Sr746jkOHap0ibdvDM89EN2CbjUQ5DZR77TiOryzF\n",
       "Ow39lNUDhJMgmBlozAkrGJXLZWia1tZY89KNtwAANE4pTzHkyP8DAHM9P6/ebUH3n8e27cima53A\n",
       "KyL1S2mnGwp/9odgU4ZfSwXHy7CjANQcBD2tQ9FVGJna9ZFVBYqmBLo1DythRSjqy0Dpct12tibC\n",
       "kQSRbtRfhJMQA0k68tEDCqXato1cLgfDMLr6wT/4oIlz5zxs3Oji5puj89Wvu07Fk08ewTXXvCXw\n",
       "/J49Beh69ev7znd24ckno3sohOEnQpVKBRMTE5F9HHoBDXayLPurxalUCpqm+dezXC5HrhoPGo89\n",
       "JmNsLHi7GEYj6dPoCNHOnSYuvriW6y5JVefg5EkLl12W8Z//938/2rNrMl3NznpF2GmglSLq1UCa\n",
       "3rzz2evJg3ASBNMNOQg05gDVtDdawOlGVcbI6b5ToKUUyFOSzEauflLr2h5kTcGrv/3elvZdqVRQ\n",
       "KBTq+jR0AjX64vu0UI1fL1JapsPJIMdBVpWG0QRZDX6fydE0xj5zR9/TdVqh2zGDl1elxVSgKq9K\n",
       "trsXTp9pmqJ2rM8IJyEEHz0gVRag+mOcnJyEYRjIZDIBg93JD/3UKQfPPFPLQ//Vr+y6iEI2K+Pg\n",
       "waMAAMsK5sJPTjpYv/58AECpZOPuu5+G67Y2meSLk0dGRnpWnMzvn/o3UGt4vgiKJoFRzboG1Wn4\n",
       "q7/SUCzWnKgNG1w4jotsVsLll8u48UbFrzdYvBg4cqQYu68LL6xOPpctM/DSSzVZ1MWLaznwv/zl\n",
       "GX8lPS79ZlDotxNCv5moBm/Uq6HbBm8ikiCYSfj0GkrNyefzdRKn7fyu1YQKPa0F/ub/pdckpbrv\n",
       "xLwEjIyORM6AaijwnMZqdnwjt0wm03UTTxIAURTFX0iiz1EUJTKlhSLT02kT7WJ1YUdPxztE4QhD\n",
       "GNVQA6lGydGarQmn67R6boO8GCRJkr9ImEwmq+pQU/Vo3XyHIpLQf4STwBGOHlCxWD6fh2VZyGaz\n",
       "Aa+4mxvyJz8pIqwoum2bi0svra3srF0LnDlTTbXYvXsSq1YFow35fG3AOHYsjz/+42eafi6dIxUn\n",
       "t6PE1MoARdEW13Vj+zfw+4rr8DtIE+SJCWDfPgWMSZBlhmuvdbBvH8MLLzBMTkrYtw/YuJHhrW9V\n",
       "kM0CF1/ceHA9cKAayr/wwuC1OXu2FuI/cqSIw4fNuvSbOEdqpleeppNmDd4sy+raaWilT4JA0Avi\n",
       "FIxUVQ3Uh3U63pBTEAVFFBLzahMtXrv/tf/rtyLfxxjzx5JWmq41Gz8oGpFOpxtGtMMpLaqqwnVd\n",
       "lEqltifVnULFyhQJ0NOG/2ilURqvchRFOF2H7H2v0nVmAv63S9Kqjb7DRucZ7pMgIgn9RTgJqHWy\n",
       "5A01UA2NUTpONpuNNF6dFvQ+/HC9brRpArpenZiMjirYvv1w4PV584JqKy+/PIGlS6sSqY7D8MAD\n",
       "L+PkyegVbMrzpMYoreprt4NlWX60ZWRkpKPwOK/PHJWfPhNOw5e+pKLqSzFcfrmLLVsULF9u19Uj\n",
       "7NnDsHSpAlmOjyIAwMmTDtauzWHv3mBztX378shx4f9f/KJah8Kn38RFXyiEOxudhlZWyMKOJnVJ\n",
       "pQZv5DTEyfWF/26l47JA0C3kIFDDScdxMDk5GVn8C7QeSdj1nlugp6uTUUWToSWqY1dyXm2FW5lq\n",
       "rhbuDgwAzGNQdNVX8QkfAzXZbDapbwW6PzOZjC8A0sp5Rklz0qQ6arLZi/Fu4nN/UN3X1NimGsEJ\n",
       "P1+ToKd1aEkNWrJW1Jw+LyhpDgDJBVlISrAuIdwNmVbLSXa0V+k6M034O6QU7lbP07IsEUnoM3Pe\n",
       "SeCVd2iCSkawXC73tFcAceaMi02bzMjX9u51cP31OVx5pYRCISivuWPHJDKZ4Mr/xRfXogvlsoe7\n",
       "736ybp98cTJNLnsJNc6h6xWOtnRjyJoVtYadhn7wyCMKbFuCqjrYu7d67VKp6M/as4chkWiuTDR/\n",
       "vo6zZ4O/Ac8DVq6spZzFFS/HRV8aOQ39ZBDD3FGyq+Hc5rDGN38O1DVaIOgXvIKRLMuB1fSoiU+7\n",
       "95gky9BS0ZHi5PxkaNv6fXuOWzcJ5tOgWmmk1QzTNFEul1uKRjQiPKkOTzZpAbBXk+pG6UR6Wvcd\n",
       "sDiMbHX1O1yXEAWNgYZhIJ1O+5F2smOUrtNLh2EmbDp/nnxGQfg8+YVcIYHaf+ask0DRg4mJCZim\n",
       "6ec9UzEvNUbrNowaxeOPF2NVcQDg6FEJhw69Ufd8qeRizZpFgedefTXP/SXjsccO4sSJ2nN0Pqqq\n",
       "+sXJnRiTuPOkawhgWnorNHMaAPS0wcvevcDYmIxymcFxapPGsbFo9Y+3vAV48kkT69c3DoE6jg1F\n",
       "qTfC/MT02WdPw/NaW1Fr5DRQMeSwRhp6MWA1avDGq21t374d//Iv/+JLssZhmiauu+46rFu3DqtW\n",
       "rcJnP/vZyO3++I//GCtWrMDatWuxffv2rs5BMDughamxsTH/OXLs+dX0uPe2CzkKFE3gJ7DJ0YSf\n",
       "cgQAiayBRNaAkUn4OfPH7/wQAPhpUL2IRFPdmmmaPRfNCE82adGKiqK7WYVXEyGZ03QCWsqAlo5e\n",
       "zW7kTCh6vQOXGB1B+SuNuwBTpJ1qNFRV9cc+EnMYpLq1Tuw3n1FA9prO03VdVCoV/PCHP4ytSRD2\n",
       "uXfMSSeBl5njJ0x8MW83jWCa8dOfNk5HueACCcuWRTdyOns2ePOfPm3iyit5x0HGXXc9WVec3Erz\n",
       "nXagVZpGvRV4+nUtw04DgNhGXZ0MDH/xFxoyGQ8AA8mfapqHgwejjfCyZdXnT56UkUhEn3MiIWH7\n",
       "9jdx5ZWjda8dPFjy/z8+XsGuXWN12zQj7DRomgZVVWMjDcOa59oNvNNADpWqqjh79izuv/9+bNq0\n",
       "CVdddRXuvvtu/PM//3Pd+xOJBJ566ins2LEDO3fuxFNPPYVnn302sM1jjz2GAwcOYP/+/fiHf/gH\n",
       "3HXXXdN1eoIBhcYemrAC8FNjmq2md2tDlVBUQNaCE/NEtjahJYlPNaHBsRy/1kzTtI7HErIxNDaR\n",
       "alOcg9ALm8SPD2QH+dXpdpSSyl/9eDW6kqxeJ/qX4B0F3jnQUgbUhB5wMGSt+l0Yue4aNvI1GgD8\n",
       "uizK7x/mOgYeSksiWy3LMrZu3YpHH30UH/jAB/DpT38aL774or/9MNhnSZJYK49pPagI5pyT4Lqu\n",
       "f+PQZMp1Xb/TcDabbUuloZ1IQjUtp4ynnorW0K9tN4nXX49ead67t4CLL84Enstm+XCbgieeeB37\n",
       "95/s6HxawfM8FAoFv5i7H70VuiGuUVcnTsOvfqWg6iDUBrLLLrNhRmeLQVWrPTXeeMPDhg2ZyG2u\n",
       "vNJAoeAiHaGOcfq0hWXLau/71a9ONz7ZFgirA1HImpwGCsl3Wug7iOlGnaAoCt797nfjJz/5Ca65\n",
       "5hrcf//9WL58OTZujG5YSAVzdM3mzw8KCzz66KO44447AADXXXcdxsfHcerU3Ol/IQgSVjACgEKh\n",
       "AM/zupY45T9j7wd+w/+bogYUTVAMFfqI3lLXX8+pLYSMffb/jq2TaAV6D6WmhlWborbtB5IkxTb/\n",
       "6lYpSZKlgOMQjiJQUXNyQX1dAgAYo9HjRTuE8/sBBFKuZkMdA1A9z6997Wu4+eabce+99yKbzWL3\n",
       "7t2BbYbBPv9bcmXDxyDQ39yQAYLSi3jlIl6XemRkpKOuya06CTSx3rzZxuRk/PajozK2bz8F12V4\n",
       "+9sX4bnn6n+0S5fOw6FDtZSiPXsmoCjylASqBM9j+NM/fR4//vEHeto5GYA/0dZ1veWQ83QbJX7S\n",
       "SitJtFpFqhyUhmOaJmRZ9rdRFMV/75YtEsbHJTAWHMgWLIivfTh9uhYJ2LXLRTYrY3IyOOioavX9\n",
       "Bw5EexpLlqRx+HD1+33mmVP42MeuaOf0W0KWZX8VCoB/Tei6MMYC16QX+cedMlP5sRs2bMCGDRti\n",
       "t/E8D1dffTUOHjyIu+66C6tWrQq8fvz4cSxdutT/+8ILL8SxY8fwlre8JbwrwSyHV5UjBSMAfg+Z\n",
       "Vn7fzWw3pfAAVU1+SZYbypgmsgYcy4EkS0hmEmCeBzaV3sg8Bkmu1iVoSQ3WRBELQ2kd7Y4lVM/Q\n",
       "zjn3E94GMsb86I5lWZBlGaqq+pEHYCr6mDLgVRxIiuxfq7r9TjkDiqHDKVtQDA2uFT9m0PaSJIHJ\n",
       "MhrmIrcIP+5RQTel6Xie50eWVVWN/B56aXP7ab9N08S1116L3/zN36x7bRjss5Js4qw3Xk+eFuZE\n",
       "JIHv3EirqqQiwRiDrusdOQitwjct27at8c2yahXgTnW9PHs2epujR4OFsRMTNtasOY97RsUTTxyB\n",
       "abbXNbMZruuiUCj4qzCtDmyDRFRNQ1yk4VvfkmEYbp2TYNvRA28mAxw8WEslm5hguOqqYDhZUYC9\n",
       "e88BAE6fruCKK3J1+6lwX++mTW+23P8ijnbVgcKSor3oQzDohLuQt7KqK8syduzYgWPHjuGZZ57B\n",
       "008/3XC/wODdD4L+E1YwotQdSZICIg/dQCv07pSuthTx+6VmXnwxcrgwmYdqElzbayrb2crxWZYF\n",
       "RVEGwkEIwxc+RyklWZblb0foI9H1CJRKBNRSkhRDg2IEI/p6JukXLhu5/imp8WPeoPSa6AbepjZq\n",
       "pjYM9llJyg0fg8BgHEWf4BujAfAH/nK5jHw+j0Qi0XWqTKPVFDLcVJCWTCbxs585uPrqFBYvjvYg\n",
       "8/kJ///79pVwxRXz6rY5dKiEFSuCk0udM+KqqsK2XXzhC5s6OaU6SMOYeit061B1G81otu92t49z\n",
       "Gp59VkFUivCxY9FOwqWXMoRPa98+F7peO6YrrjAwPl7zAhYsqDdwBw7UHI3JSRu7d0d3b+4n7TgN\n",
       "s0U9iT6jWCy2pZiRy+Vw2223YevWrYHnlyxZgqNHj/p/Hzt2DEuWLOnNwQqGgigFo3w+70+U2/ld\n",
       "x9lNKiiWJAmZTDBlhRwDmuQbI1xe/NQKNt/UCwCSoykkR6t2iS9gPvMn/7nlY+WhFWxqiDaI0Wee\n",
       "KKUk6TufCxyTNhK8ZnxqkaJrUIzoMZJ3FOQGacDud6ILbXtBK70mGGMDvRBEv6FKpdI0nXqQ7bOs\n",
       "Sg0fg8CsdRLCjdFI3YCkQCmXvlerOGFs265TSSoUPGzdWsGLL7oANFx8cdBRGB2VsXt3UDt//vzo\n",
       "FYbzzguuUB84UAadiuNUV6weeGBv3fvanaBXKhW/sQ+FZ2cz5DTs26fj3DkJjhP8fSxYYOPEiejr\n",
       "l8nUh5TffJNh/fradzg6ykKv10d7xsdtrFhRy1vdtOnNts6hH0Q5DRSmp5XSYY408MfbSrflM2fO\n",
       "YHy86ryVy2U88cQTWL9+fWCb97///fj+978PANi8eTPmzZsnUo3mCLw4Bo0/fHdi6kLf7X3CFxST\n",
       "40Ha/H49QrI2iSJnIapbsCTLSC2ILqRVDL2uUVgrx08Re0rdaXe8pQWCmbInNB7wxCoZcY5D+FqF\n",
       "nQo+MqOHogjG/Procr8I16rpuu5fa9M0e1L43M9FnjhHe1jss4gkzAB89IBPG6BGX5qmBSTXujVA\n",
       "4R8o5YVSWg4fWt240cKUoAVOnmSoVFTkcvwqs1QnebljRwHZbL2nfOxYMOXo7FkLq1fXUo5UVcOZ\n",
       "MyX86Ef1jkIr8OpI1PtgLvE3f6PC8xSUy8Hv9+KL41O48vlS5PNjY7V9nDyZD7y2f38JCxfWD9iL\n",
       "FtUGjs2bZ95JCEM5u4Zh+HKDUc3LhslpoPu0VCo1jSS88cYbeOc734l169bhuuuuw+233453vetd\n",
       "uO+++3DfffcBAG699VZceumlWL58Oe6880585zvf6fs5CGYevtaNj06ZptlVP4DwWBXVeO3gf7rV\n",
       "f506A0eh6NXxTx+p2vUovX5SOKK6hkZ59VHYtu1HTdo953ajLP1GVpQ6NaMows5A+DtopSNzJ/Si\n",
       "YRyv+AbA/5fs+aA0cAs7HVHnPCz2WVKkho9BYFYVLnueF2i2QQVixWIRnuchk8nUGateOAn0fsrZ\n",
       "l2UZuVyubtX9mWeswN8nTgDr1ul46SULjAGOU9+FuVTycMMNC7Bp08nA80eOmLj44kyggHnhwjRk\n",
       "+U14HlCpVI/p7/9+Bz784WDha7PzpfNQFMVXoKBc106YaaPSCRs3ylBVwHGC32EyGe0kSBLw+uvR\n",
       "0rb79rlYscLA+LiLAweCE37GgOXLczhzJqhiZJq1a9ZtJIFyofsFGW1aLaTnqBCaHPZOC6GnI92I\n",
       "/40Wi8WmkYSrrroqILlH3HnnnYG/v/Wtb/XmAAVDASkY8Q2f4tR8uhl7SMKT7/dBGJkEKsXmDR0J\n",
       "WVXgOS6So6m6YtxqAbME5lalPye+dCdyf35fy8c3MjICTdNQLrdXgTlIY4b0//2F/381nYRnVfz/\n",
       "M4/BKZYhRUz+1ZQBeJ6fiqQkdMiKAteqQM+OwJ3aj6xp8FBdsdWyI1PfQefjba+gwmagOreiXjKm\n",
       "afqvkS2fCRqlRA2LfW7WdG8QmBVOAk1IqOMuOQhkqAzD6Lr5S7PPp86RyWQyNo1p48Z6w71jB/D2\n",
       "tyewdauJV16JngwW6n0HAMCSJVkcOpTH1VfPR7FYxmuvjUGSyLjIU/s/jXzeQiZTNVSNrgGtApfL\n",
       "ZaRSKT8k3g0zGSrulCeflHDqlIyREQ+FQvAmLhSijfdFFwGHD8cb9oULdcyfX8GbEV+x69YPMK+9\n",
       "VnM4Tp0ycfBgHpdd1r1EXr+IUtHql9PQL/hV32ZOgkAQJqxgRGo+vWg+BtRsKY01UYteYdlNWsnm\n",
       "J/+pBSOwy1MTXUOFY8VHR41cGnaxNsF3zebOR6Pja4WZtgNhvCm9a0lR4FkVyJoWcAq0TAqSJMMu\n",
       "Va+TmjTgdbGoBkR3wJ5JqLEZEFSKjFOC4un1IlUrkYRhQVIG30kY/CNsAq3cUO4nSZtSwXCzRmK9\n",
       "mMRaluX3DIhTqyiXGbZtizaw+/cD69drKBSijfWuXUUsXlyf7vPmmy5uvvk8vPjiCbz66hiOHClg\n",
       "yZIMqrr+LgAZlYqLv/zLzU3PgSIufO+DXkqgVSoVv0Zk0J2G731PQfXa1R/noUPRxv/88xsPCnv2\n",
       "eGDMinzt4MH6VbaxMRuXXFLND06lFGzfHiN1NSTwoWxKw4tKT4rS8u53JCH8eyyXy8JJELQF7yDw\n",
       "Cka6rseq+XQiIUrCAc3SlvR0LboQJ9WZPq+26JAcrf7eJVmCJMswcmlfcUfPpGDk0nArTiCXPnz8\n",
       "fBflqONr91wty2q50VlfkWUo1EAtXUsniruuzaCiZsXQkTivpt2vjwZrEfpZvNwNVMdAhc+8EhTN\n",
       "IaYrxXSYHQSgGklo9BgEBuMoOoC82UKh4Cs7kIwl/Z3L5ZpWvncb8iXlikadIwHghRcqsGNSOs+c\n",
       "YZg/P36SyRhwySX1DVhGR1Xs3x+cPC5bVl/09MgjB/z/R50vf83izqPT6xRWmKJrRivKg+g0bNtG\n",
       "TkLw+QsuqEDXgQsuqH+PLDdeYZucZJCkaBWgc+dsXHZZfcHg+eePQNNkLF+ewi9/eaLVwx8K4pwG\n",
       "oJaqQNKDfFf0fh8TICIJgvZwHAfj4+N+zxXKxU8mk0gmkz0TxzBN009bajTWAMHcdypc5guYtaRe\n",
       "t32jfHnP8ZCYavZV+ttPRh5fqVSK7aLczjUgB4Gij1TXNOgynVoqCXnqvLVU1ZlQkgmo6STUpOE/\n",
       "BwByjPpRYH/z65UNp4N26hvCSlBUu2hZlu8w9tJ+D9pcoVtkRWr4GASG2kmg6AH9cIrFYmTBcCM6\n",
       "mfzyRb3U7r3ZZ23eHL2KTBw7VsbChfEOTThN5cILE9i58yQuuyzYRTCf550NCQDD8eMFPPfc8cjz\n",
       "KJfLbV+zVuHl/0jRgyTlKPxIE8JBKXL92c8knDqlTE3oa7fH9dc7WL7cwunTEk6ckLBkiYRrr629\n",
       "fvZs45zbZcvUhj1yFi2ql0J1HODaa0exc+dZbNkyeMXLRC9W+qOcBgpv0yptv7qGhvfVirqRQAAE\n",
       "xyGgmmpTKBQwMjLSVF671bHH8zzk83n/PXGpGyc//pHA37yCUZSjEAev2c83WPNsG0qyPqJN46Hr\n",
       "ul13jublUg3DQCKR8NNewzKd0+EwyA/+ld/cjD93NZWENpKqSwviIw1xMqhatn5BKBxFUOdNn8JR\n",
       "ryAlKLLhyWQSsiz79pv6MfTCdlO96bBHEmRNafgII0lSQpKk5yVJ2iFJ0suSJP1l1H4lSfqmJEn7\n",
       "JUl6SZKk9VHbtHyM3bx5JqHIAf1YqDFaL3T8G+E4DiYmJvwVHVVVW/rRP/98/Erz6KiEPXvG8da3\n",
       "RrdrB6oSpxddVDMu8+czlMsurJDv8fLLY0in+YFAgm17+NSnngxsRwOPbds9v2bkfOTzeWiaVid9\n",
       "R99bs9STmXAaHnhAAWMyEolq92pNY7juOgebN8uBJmrHjwNbtjBcf72ERCJYQxDFkiUSdu0yMTIS\n",
       "vVpXKETJ6HrYuPENAMDeveM4d67ccTRn2Iwp7zTQwEO/0XCkoRdOA399RCRB0Cr8pL1SqfipNs0i\n",
       "2PTeVkQkSEI0rmkUD59mBNSapVGtQjhaoOgqUgtraUetNPWiwl0ae/P5PBhjyGQyXdkZkihXFCWw\n",
       "8EbXONzobDocBlapQA4p+6kjte9BTSWhpkLypg2iBPxr6pSzIGsqoCiQVAUSqS5O/aZatWuDaOOp\n",
       "joHst6qqgQZu3X5vlmV13edqpqmm98U/wjDGTAC/zhhbB2ANgF+XJOmmwD4l6VYAyxljKwD8IYB7\n",
       "uznGoXUSCApLkgFpdxWj1dUcfuKbTCYxMjLS1mdt2RLvJKxYIYExYNs2C/PmxeeZLltWdSI2bJiH\n",
       "nTuraUavvDIBXa8Z/krFw6pVC7l3yQA8HDo0iR07TvrnSx2gM5lMS+fRzqpXoVBApVKJzZsN76vV\n",
       "fDbk/e0AACAASURBVPXpcBq2bKleS9v2ADCsW+fg+eer1yefrzdomzcD11/vwrab6YVXYJoMq1dH\n",
       "O4L79pVhGLXvQZaBQsHE4sXVAYgx4Lnn3hioqMt00ijS0K3TEFWTMDISrRcvEERBqTCtpAK1SpTE\n",
       "aTMkWQ4UL4edAipkjtP6r+5DquvYTHKozHEhGzqsb/83PwWqF4XZdK7JZLLhwhuf3sLr+vcrH54c\n",
       "BJnSh1IR0sgx4yc5D0oD+XApwpnk04yms2llPwnXMWiaFnD0Wv3e+NdJKGaY6aQmgTFGWus6AAXA\n",
       "udAm7wfwv6a2fR7APEmSOm4AMbROAmMMk5OTvjRnt4W2jX6cfBO2XC4X8F5bmTwfPOjgzTfjb3Bd\n",
       "rzoQpRLDW98av5Lz5psuJAkYH6/JnhaLDlavXhDaXzCSAAD5fAWf/OQvUCpVf18jIyM9y5clqLaB\n",
       "pFM7HSzDE8Jwt1/KdaSBuVcDwu7dwIkT1WN2HAnnnefihRdq53DkSPTnVCoObrih8Srfa69NAgBs\n",
       "O/qWsywW6KL9treNYv/+SSxdWnMqduyYHKioCzEdhcVx6km800A2wLbttp2GcCShlVVbgYDGIQDQ\n",
       "NK2thaNGYwffmZnyvNtJjfVlN3XV/39Y+UjW6hdwwk5FYjQDY+rB41pVsZBWuyg3Ona+n0I743jY\n",
       "BtB1ojGiFw6DN1VI6JkWZE0Fc1ywCOUiJZ30FY8ULuWIdxSUFvoshMn+9Nt1E+p+2/pe2/MoNSLe\n",
       "0aP5FP+9NbLZtK9yuTz0/ZskWW74iHyPJMmSJO0AcArAU4yxl0ObLAFwlPv7GIALOz3GoZVAlSQJ\n",
       "qVQKiqL4nfU63U8cpMpDzZWiDFgrhvuFFxoXtfINto4cYZBlROav791bwi23LMTTTx8KPD8yErxR\n",
       "jhwJa6ZKcBwP27adwhtv5DF/vt5xQ58oaEXJNM1I3e5uoU7PFML3PM+X06xMVReTlGY3hvN731PB\n",
       "GN2YDG++WfuulyxxcPx49G+FsQq2b3dxySUaXn+9vjp92TIVhw9Xj3PPHhOplIJSqX6gmTdvatVK\n",
       "Bk6cqP4mNC4vccuW0x1Ji84FKB+WHFNSgqGCRyoq5a8N3ctRNQkikiBoBRqHSBKyF5CEKPUYaBUt\n",
       "nYRTtvyJPq9ExKMmNKgJHY5ZgZ5Jwa3YkBQZiVwazKnZpcSCXGAg0rIj8GwHnu3AWDAPTigtqBPC\n",
       "/RSiaGWM5e9/Skcim8gY62jBSnnk6/AAQJagpFNgYSWLELKh+6lY4cJkSh1RsyO1bXQdXqUCNZf1\n",
       "nRFlXg4IOSFk73lbb07JsvJjwTAS971R5IR6MUR167Ysa1ZEEtqFMeYBWCdJUg7AzyRJuoUx9nRo\n",
       "s/BN2fHEaGhnEJIkBXT8u5kcRhkhSpsxTdPvONypMdy6Nd64zJsHHDhQcxKOH3dx9dXxRUuKUn+e\n",
       "R4+WQn8XsXQpv/JT/ZpVVcFf/MXWFo+6NfpZ2xAHOQwUhk8mk1AUxY8qlcvlQKShVZ55pmpsVZWM\n",
       "dO37Pv/8+AnAmTM2TBPIZKLPfcmS2n4si2H16uh+B+Pj1WO95ppRHD1amNp3rejkxRfP1P1Oo6Iu\n",
       "FGkwTdMvKKTHMKYndXLMNPjouu6HuOMiDeFGgaJwWdAOnfaTaSYhGp40tzLW8WlErXb3VfTmjggV\n",
       "LyuGDj2XgWdVkPzR11rafxwUCc1kMm05Q83g732+gNZ1XTiO01bnYDk0CZVTSSjpNORU0k9B8l/T\n",
       "VN858KMKEdED2dChZlpbhFBytdSjuMgJ9TYixcdhtPFA/fdGi8B8HYPNSUTOjkhCsAbhhbPj+M6r\n",
       "r/uPRjDGJgD8G4ANoZeOA1jK/X3h1HMdMbROAtEPJ8G2bUxMTECW5aZ61K2scjRyEi6+uP69rhv9\n",
       "eZddlsTZs/UqSYcOFXH++cFJzUUX1YxLckrRolx28NhjBzqedAGIvE6qqjasbein0aKiNnIaAPjq\n",
       "SY7joFQq+bmqjQzouXPAoUO0Cl3tMcFjGNFOgq4zHDpUNVw7dzp429vqVzZcNxhdkOXowXv//hIM\n",
       "Q0apZPrPvfZaAclk9fcwMWHj1VcnIt9b27fsDyTpdNpPBaBUrV6nJ7Ujl9cNvVBPinMaXNeF53l4\n",
       "/fXX8YlPfALj4+NNO8QePXoUv/7rv47Vq1fjyiuvxDe/+c26bZ5++mnkcjmsX78e69evx5e//OWu\n",
       "zkEwuHQjpQ3UFILiJESbcfZP/4v//3C9gWJoUAwN6tSEVePSYeSpaIORC05aw+lFAPw0G+a6kBMJ\n",
       "SBHpSq1SLpdRLpebjq+9gApoSUSDZGr5iWfUdyfJMsBYnaPgvy7JUEKLCZTCJXOLZUrSqCt+rjvG\n",
       "KSdJkmVAUYAW0rd4JSGyZRSZaccR6jedpi/RuE72mlKOGWN45JFH8MADD0SOYcNkm0l6mB7Xn78Q\n",
       "H79qhf8II0nSQkmS5k39PwngNwBsD232KID/PLXN9QDGGWOnOj7GTt84SPRqgkKGmsKfvZAEdRwG\n",
       "04y/UZPJqC7MZSxeXL8qff75MvbsmUQmU7/qcsklQU1ly6qtoJfLLmS5Whw9MWHjf//vV9s5hTpo\n",
       "xYuk/po1q5tOyGngJ4MUBWqUq/73f6/AdSUoigfXrf++SqXoiMQllziB/hcnTgDhMe/YsXzg7717\n",
       "K1DV+utiWR7e/vbzsGfPmP+c4zAsX16LLG3d2p4UKnUypqZO4fqOQahpmAl4p0HTNCiKgnQ6jaVL\n",
       "l2L37t24/fbbsXr1atx99904e7a+kZ2mafj617+OPXv2YPPmzfj2t7+NV155pW67d7zjHdi+fTu2\n",
       "b9+Oz3/+89NxaoIZoBMngd7DGPMVgppJiLb7OWpoJZtX19Gz9XU3kqogsXBeTVmlwbE0S78J7Jc7\n",
       "V7K/mUymZ0Xe7RwHPzaEFXcaSXTKMdFFJZ2KrO8IFznLiUTAeQAAJZvxBwx1frC2UJk32vJ5kZ3n\n",
       "V+BbcYSiGESlJCp8pvS2ZcuW4cyZM3j44YexYsUKfOYzn/GzBobJNrerbgTgfABPTtUkPA/gXxlj\n",
       "v5Ak6U5Jku4EAMbYYwBekyTpAID7ANzdzTEOtZPAS6R1G0kgdQVSqGg1/Nnss195xcGOHQzXXGMg\n",
       "l6v/0sfGSnXPMSZhxYrgSo5hyNi16zRsm2HVqvl173Gc4L737h2HzP3IPK/6/2RSxz/+4+6Orxel\n",
       "FzmO01Kzupmm1bSTxx+vDlapFEMyWf89HTsW7SQsWBBMVTl+3MOGDbXBd9EiBcePm4FtJiZcXHFF\n",
       "dLg5ynnI5WoD/datZ2LOtDX4qEszp2G6mpg1Y7oKoxctWoRPf/rTWLp0Kfbt24fvf//7WL58eWR9\n",
       "wuLFi7Fu3ToAVRGAt771rThxor7h3SBcP8HgQoXP3SoEaelEYFKhpRORE1eesFSnHDdh51I2fZWj\n",
       "qZUR/ZGvt3yM5CC0Ei2ZjvsmrLijqipc10WxWIT2xD9B4ib0cjJGyGDqmtO2kqpBaZInzzsKUepG\n",
       "ACDPm08H2erp1N4bsQJP5zWdPSb6hSzLuOaaa/DhD38Yn/jEJ/CjH/0Il156qe9cD5NtDkcSwo8w\n",
       "jLFdjLGrGWPrGGNrGGP/79Tz9zHG7uO2+xhjbDljbC1j7MWujrGbNw8K3TgJ/OpGIpFoW9q02We/\n",
       "+GLVmG7b5mLePBULOXVSXa+mk0Rx5Ehw8rl2bRoTE/bUZ9Yb//3784EBplBwsHIl70yQlreLffvG\n",
       "cPp0Y13/OCYnJ9uSTh00opyGSsXA4cMKAA/5vIxyOWiYFy5065rZEYzVFyqfOMH8Bbhly6IHQn7i\n",
       "TxiGjMnJ+nSycrlm0DtxEhr9Phs5DeVyuamS1CCuOnUCfw7lchm5XA7XXHMNPvWpTzXV4j506BC2\n",
       "b9+O6667rm6fmzZtwtq1a3Hrrbfi5ZfDIhSC2YA01fel3TGIhDEoB7slidMGn8OnEQWen1I1IvnT\n",
       "MHou7acdRb4+moOey0AfzUHL1dTWJF2vpsa0AF9020q0ZLohh4HsICEnk5AUFcyxfUdATqfr0oyA\n",
       "qoMQBaUryenOFNO0x+9rvlEM4fOi4mCy7dMRQe7XGGGaJlKpFNavX4+77rorcptBt82dSKBON4Nx\n",
       "FF3SqZNA0qaMsVj1om7Zvr2Wy374MMOiRTpozrF8uYJKJfq4Dx+2sXp1bQWTsVpo99VX83XHOTZW\n",
       "CUhoAsDChbwhq25fTaWR8D/+x8aWz4GcKABIp9MdS6fy7xkELx6oHtP3vqehWJShKAyy7CIsDLBk\n",
       "SXxY/ezZeifhyBEP11xTHRh0PbqW4eTJ+ufXrh3Brl2TUNXgbXn4cM2h27NnDKVS+yoqrX5fYaeB\n",
       "LwpvxWnoNdPxOwl/Bk3cWqFQKOB3f/d38Xd/93d1EYerr74aR48exUsvvYSPf/zj+OAHP9izYxYM\n",
       "Hu38VklxS1GUnkpR61xtgZZO+PUJvKOgGMHJrMytZhvzghFsvhOwX7zMTZBbSTkiEQUAbTVcm6nF\n",
       "h8DnSkFbzEcUwulH4RoNOWFE1jNIhg4pHMXJxDdS7RW89CjVMdB30yvJ2H7DOxzN+iQMg23uRAJ1\n",
       "uhmMo+iQbiadlmX5q+LdSEU2clAYY9i2Lbgy/PLLHjZsqBrscKpKmNHRqoEfGVGwc2dtKXtszMYV\n",
       "V9QrIC1aFLwRJifDk8nq9cpmDTzyyN6Gn01Qx09SgGm3yCzq+gzayvO//mv1nDxPiQzDptPRoVlF\n",
       "Yb60aRiKRpw7F10Ae/BgBYsXB1eoXddGuexixYrggHHmjIULLkhPbcOwfXt3KUcbN5r4/OfH8NBD\n",
       "E3j99Sayfg2UpEhFijHWd6dhugujW7EHtm3jQx/6EH7v934vcpDJZDJ+v4X3ve99sG0b586F+94I\n",
       "ZgPt/D4ty0KhUEAikehJ88/w32pMRAGA39FXyzRe1ZbiIgSsaguVkTSY7UDSdXg//tvY/VB6KtWK\n",
       "DZrtj8UNjp1yinMIWG08iKtTqFM+SkSoHEUoHEmqBnl0Qd3z7fDM/A3+Y+OSayO3CRc+80pJZNMH\n",
       "pfA5jkZOwrDYZlmVGz4GgcE4ii5px/CQtGm5XEYmk/Hl0bpVpoj6nHy+gN276x2BjRtdrFmjoVKp\n",
       "Ty3h2bevAlkGrrwyFShEBoAFC+qNfKEQ3GbfvvFAN2b6ui3Lw9iYheeeO9bw8yuVCiYnJ6Hretcd\n",
       "NQcV1wUOH5aRSnlgTEKUnLDjRDsJF11kw4r5CnfvdnHFFXpA3jbMJZfUBphcTsHOnVUjtWBBveG7\n",
       "8MLati++WF9I2wonTjhYteo03ve+M/jmN0/iox89jnXrDuBznzsJz2v++w8rSaVSKV/+caYiDTMF\n",
       "Ywx/8Ad/gFWrVuETn/hE5DanTp3yz3/Lli1gjGH+/Pp6IsHw00o0mzHmq/pkMpmGnYVbhTGG8tc/\n",
       "Vfc81SMoieqKtZKMVtcJFDLPy0BSarnQxoIpMYxw9+WpBSMlW13MiHMoyEFQFKUrCfHpRvvlDwCj\n",
       "dWlNJZv1r4GcStZFCXikhBGodfBRtWDqliwBytSCXK55ATNjDDtWvRPPzK+pYapZFZImY9PF1+OF\n",
       "q26MP6aQwxDuZE/2vJPfaq/tP7+/uD4Jw2SbhyGSMLxdODhaTTeiQlVN05DL5XpS+Bxl+OhzXntN\n",
       "RpyS4vg4MDERP4EEgNOnXaxZk4nMez9zpv65V1+dhK4rqFSoX4CLNWvmc1EIGYALy/JgGCq++MVn\n",
       "8e///p/q9sMXmPFNbrotEB9EHnhAhmnKsCz6Huu/z9Ono52ERYs8vN5AynjRIg1798ZfL9uufdbK\n",
       "lUls2VLt3Fou17+Hj+Bs29ZeJOHECYaHHrLwP/9nCWfPVgBM+q8xBnzrW+fAGPCXf7m4rf3yq4OJ\n",
       "RMKv74lrdNdJxG46ah4YY/5xtfr73rhxI37wgx9gzZo1WL9+PQDgK1/5Co4cOQIAuPPOO/Hwww/j\n",
       "3nvvhaqqSKVSePDBB/tzAoKBh2yq4zh+Tj6v+d4qvA2mBS8V1eiBW66tWMi6Bq9S3b+aToJ5DEqy\n",
       "WtzsmrXoocY195I0zS9IjsTzAE6+mblONf0mwkmgVF7DMJBIJHrWaG5aSaQAy4SUSgNO6LpIvZvA\n",
       "yQvOAyhtKxtqppabH4hcNILZHiRtSqBkiTH1XPvjNTUvTSaTfnMzx3FgWZbf2KxdW95LG077Mk0z\n",
       "sk/CMNnmVnuZzCRzwkmgFRzLsvrSEZg+A0Dgc/bvj08nKhSA1at1HD5cr27Ek80a2LHjjbrn9+0r\n",
       "IJfT/GLm6me7uOqqUezaVZtE5nLRYWXHAZ5//jhc14Oi1G5213VRKBT8HhG9LE4exCLXH/5Qga4z\n",
       "lMvVwuWwk5BIeDh6NPq3paqNBz7HcZFMyoHCY559+ywoigTXZahUat/jwYP1ReVjY7WB/cUXW3cS\n",
       "vvpVG3/91wk4jgxAw+rVDo4dkzEx4WHRIgUrVkh4/fUJPPJIEbfcouG97+081E0FnBRt6IfT0A8i\n",
       "NdKb/E5vuummpgoh99xzD+65556ujk0w+DQrXGaMoVCoClRks9meLE7RKj0tHkiyXHUUqJuvpsZJ\n",
       "KEJJ6JA1zd+2un2wTkEbre/8Gzgnx4VECxeVCtgv/hekd90BAHAcx0+n6rTZ1YwuRklSdfUk6iUu\n",
       "7YiVanZaTqf9+gw5mYRXLgcVkWQJnmlCHsmAWWZ0NCH2eJrbyOeX3QDPqR2zYlTfI6ckuJWqndr5\n",
       "a7dgzTNPt/65qDkMZM8dx/E7WVNPHuo9Md2Uy2U/ZYhnqGzzgM2Hopj5EboLWqlJ4HPq4zoC9yKS\n",
       "QCsnJA2q6zpeeil+EnnxxRJ277YxMtL4KyiXgWKxfj+eh4B+PjFvXvCmGR8P55xXj1fXVZTLDr79\n",
       "7W3+K1SnYRhG2ypPjeDD7IPU5AUAdu/moz31RcvLlrmxY+XkZOOVQMdxsWZNfGfNyUkPl1+exsiI\n",
       "gpdfHvefHx+3cfHFwQLC114r+AXNhw4VcPZsUFY1im98w8VXvqLAcRRUz6uIPXtULF68AOvW6XCc\n",
       "cWzceAonTph44w0Tn/nMa3Vpbc1o9D1GpSdRTQPf6K5Rd+zpcix70ZRRIAj/fjzPw+TkJCRJ6knK\n",
       "JqX2URpoeJKkcrnwsXUFHaLOH4WSzUIdHfU7CrNKpZqaU6naI8dxkM/nkUwmO3YQaDwm20DNDmeE\n",
       "VLoqQwhASgdtshQqhuUdiKiCZb6hmqTpkLQmjgKXZqRt+ufYzV646kZImgxZlSCrEnIr09DTGtSE\n",
       "OvVQoCZa/y3E2dxmSklRhc+9tt/8/uLSjYaJdiVQZ4KhdhKIqB8hVe23MuntRRpNPp+vkwbduTN+\n",
       "EplOexgb87BmTeMCsmSSYfXq6JzEKJ3psbHgZ+7bN4FEgg8YVY/NNKuOxw9+sNs3yJQr28v8Uc/z\n",
       "4DgOPM8LdEIGENnUbDp5/nkJriuhUqHrUz8QzZ8f7+gdPdrYSTh+vIRSqfEtNm+ehpUrk6hUgp99\n",
       "/vnB34VlebjsslpBc7OUo1/8guELX5BQc3oqAKrnoigqRkY8nDsXdCAPHTLx/e+fbLjfKNpRKwlr\n",
       "eFPxZqtOQz/gf3vtKBsJBETUPcBP5qMac3Yy7tCkLJlMxqoiqaGiWWVqckrPqyPVySzVI8iGDjVX\n",
       "mwCr2Swkqdr5l6IR6vzaGMRcF3K4d4iqwbZt5PN5vxdNp+fqeR5s2/ZFRWji2W5TsE5Qtz4KaAaQ\n",
       "mLqGlAZkJCIjK7xjANT6JaBZjZdevT4BR6GF2oMwz7/1Bth5F7IqQUlW5wOKXnUKtIQCRZNhZHXo\n",
       "aQ16WsPe9/1G258RRZRSEoBpVUqKSzcaJjpopjbtzBongf8xUq6mZVnIZrN9K5riw8hR0qC7dsVP\n",
       "MMvl6srL7t0e0un4r+Hw4Ulks9GTlsOH61eTX311EslkzSmwLBeXX17fL6F6uSQcODCG1147CcYY\n",
       "crlcQ/Widge1SqWCcrkMWZaRTqf9/gR0Y0c1NZtOp+HeexUoyv/P3psHWXKV94K/k3vevLduLb13\n",
       "V3erd/WibgmtCNkQj2CMiIcZGzN2WB4e2PEYrGdsx4uYgUGOGfwYgx/vYeCBkYRtQOAw4UBhRmBJ\n",
       "j3lGEkgttdSoN1UvVb1XV/Va1VW37p7LmT8yT+bJzJO3bq2qatcvIqNu3ZvLye0753e+7/t9/HOR\n",
       "PqYviZrGqlUuxsayB7E9PRKGhho4dqyONWuyB52lkvgYfhJ1cp9R59+KJAwPUzzyiJfYh+8uWbuW\n",
       "YHi4hFdekbFpU3oW5itfuQTHmR/CJqpZkSQN9Xo9HDTMJWlg722lUhG6sJewhMnA20fbtlEqlVoO\n",
       "5qdjT13XhaZpsUE4G/SLPAchMQj+ytygSspIsE1KeSpdgsGrRyPFH8cGGnWUy2Xk8/kZkWzHcUJp\n",
       "WFYNnfUTourIczqRIMu+J2E6YDPcQglUbmBb4KIBJDlMYKady0HbGLOoBRmyGY0flt3ZGfMaqLkg\n",
       "n1CeuwGnSCmJEIJGo4FarTarSkn8PiaTQF0MWPIkzDFEsZ3NZhPj4+OQZXnSqo78fqb6ANu2jfHx\n",
       "8TAeNXmcq1ddXL2abcAGB/1chFKJYt8+cUhKb6+GwcEKzp8Xy1RevdrEhg1xF6hte4kiakCxKGbb\n",
       "uq6iWrXxzW8eE850TRcsSY8VqBNJ34kGiElVBVb5d65mJA4ckDA+Hr0C/C3M5yne+U4XiuJh82bg\n",
       "7ruBu+6K2rBmTWv52qiIGsGmTdmDztOnm7hwIV1QL1mlGYhPZLVSOPqd3wEqFf562wBcEAIUCnWM\n",
       "jbmglKCzszO17eBgAz/5ycwkVqcL0TOhqipYRXTe08C8U7ONJZKwhKkiGfbabDbDAfNkhfjaBauG\n",
       "zmLAk1Dy6bCjZEXlJCRR6G1GBeAshCE3uoHOwz8JRS6mA+aJ0DQt1Z8mqyOrqgrXdcN+ZtarCLeb\n",
       "mCzJgGn5g3vA/8zAEwVjEpuSRaxajF+O/sq7OS+CBNmUICkyVFOFoishQVB0BaqpQs2p4XdzBd6G\n",
       "Mw8DISTWp8/UG8QnLi92krDkSZgnEELgeV44G53P59uuYMm2b/ehZW7PcrmMXC4Hy7KEEqqtvAjL\n",
       "lxNcvRopUZw750FR0m1ds8b/OzzcwLZt4mIr69YVUt8VCnFSMDaWDIth8df+fz/72eCshhdNTEyE\n",
       "lTVFHVpW7QRFUcLZCNYRUErRaDRipGE2pDWvXwfKZQJK2Svg+S52ALt2eejo8LB/P8GhQx7OnAEO\n",
       "HgTefJNg716Cri7ANFuHGuVyUYfViixu2WJi9eq0oRscrKOrKz7AuHw5kso6dOiG8Bp8//sUhw75\n",
       "BfMi+ITjgQcITp6MyMebbxKhN+Hb324/5GgucwZYeBJT2uA9DbZthwOEmXqf+HOoVquxiqtLWEK7\n",
       "YLOnlUoFhUJh0gFzu7KpzKPGJr1i4XFPPhZ+lvPtk1vei6AEev1EVSB3xPsTWeRFYGo7XjBrwQbI\n",
       "0vRnPm3bRrlchmVZk9bi4UNd+Nj42SAMVObuWWzAb/leBbYkwYcNZcmnJnIaWMgRMio183A7elLP\n",
       "ilN3Y14EALEqvbKmQNZ8ggDAJwqmiouP/HrLY82mTWcThKxPn01v0C1BEmS55bIQcEuQBBaOwEJm\n",
       "pjqb0S5JYMnJtm1nJkEzvPVWNklYvz7+Ag4Pu3jHO9LeBP7lWblSPHBpNNLtTuYlnD8/ge3bO6Hr\n",
       "gf61zmbs/f0PDIzi7Nmbme1lmOw6MS+OqqozTnxOkoZcLgdFUWKJUlmx6+3cyyefZMm8DB4ch+Cu\n",
       "u1z091MMDxOsWuWiVIpvd+QIRbEIeF5rZaNKJSKBAwM2NmwQdxxdXQSWJX6ONm2KE8PBwSoKBf/Z\n",
       "vnatjv7+6zFvi+N4+PSnWR4ChZ+I7QCwsWIFweHD44kjECxfHk9+X71aw/nzdVy4kKHdO8/gOyyR\n",
       "p2G2Q9aWSMISpgOm5NVsNjMnR6azTyZF3a5XXM7nwhoJ4Xfm5N6MpLrRlKAogG6CTvOcec8L61Pb\n",
       "fXdnlTCc+Ll/bC1hq02BPWgVhpQkS7xXQjfSZAEAzUdeXa8QjwRwOnzFOT7W/+ivvBuyJkHNyVDy\n",
       "/tKzw9+HovvkwG9KIFRizY5HayaYDW8Q3x/cEiRhinUSCCG9hJAXCCF9hJC3CCGfEqzzbkLIOCHk\n",
       "ULA8ltrRFLCoSQI/yyLL8pwW/OIrNPPJyYB48PzWW9kzzfwsM0O9nij/LgGnTkUD9+vXxYPS/v4y\n",
       "pIRbqr+/BMNQYJoyHnpoNTzPhaapaDT8mR9WR8FvuwTb9vDVr76R2d7JwO5DpVJBPp+PxeDOVm0F\n",
       "XiWH5X/wlX9ZGArrrCfDCy9IsG3+mrvYutXFW29F9QtWrxaHFJ0/7+cMmGb2s5aUtu3tFZOEq1er\n",
       "uHFDfG/jCee+52fTpmhQf+pULeZt+fSnHZRKXpBnoQIwwZKxN292Ua2mr8vhwxI6OmTs3p3Dtm0E\n",
       "ly+P4ty5G3j66eHMc1somC3SwHc8lUpliSQsYUpguWmUUuRyubYG88nts/bJPLJ8f8OvL1u5zLAE\n",
       "KWeGlX9lU/eXhLdB0rRMOU6lu8f3rkokNtAlxS6gEExgcHUViN2Ee/Anwn1l9QMiz8t0+3ARYWCe\n",
       "/2q1OmnYKmmzHkGIHDfYV9S4NwGIQoyyPAt5cXRAFgrnXgu9VTRIjPbc6HwUXYGi+32GZmlQTRWy\n",
       "pkAx/OsqKTLUnAY1N3/CDFnXO4vcsb68ncTnW4IkKHLLRQAbwJ9SSncBuB/Ao4SQ2wXrvUQpvTNY\n",
       "Pj+TNi5qksAKfUwltEiEdjSu+QrN7ahU9PVlzzQ3BGV6jxxpoLc3ms3ZutVAqRTt49SpCpYvTxub\n",
       "UsnBjh3x2PJm08Nddy1Hb6+FX/xiCJWKE85A++dEAPhuQNP0Dcbzz5/JbG8rsPAiJv06k5jUqSAp\n",
       "rcnCUIC4woJocEgpcPo0Qa0WPf6KQjE6CjSb0b21LDFJyOUoXn/dxh13iGdnVq+WMToaJ4nDscJS\n",
       "AwAAIABJREFUw+kOaNkyBQMDEzh9uoqOjvQsXKmUPn6hEBn4Q4dGQm+Lrpv47nd1AApcV0X0atew\n",
       "di1w4IC4cF+jQfDgg914661r6O+P1nn66XRtDhEWUu2L6ZCG5LOx5ElYwlThum747E3lXchal5dN\n",
       "LRQKsfVE20iJ51Xi1Y0EijySoYchRjxYBWXIcip5OTw+r8CT7wCYvbeDgmy2OH9OBGanWfXp2UTS\n",
       "E63rephAmzUIlZwmSBBC5emmH3qUJVPKvAVWgigAPilg3geeKPAeikkqOtNg/04+Hu6laRrOffDf\n",
       "QjHS10vWFGh5IyQFAMJQI0mRYt/PJyZ7J5JKSUzYRNSP8/frliAJU8xJoJReoZQeDj6XAZwAsEa0\n",
       "69lq46ImCYqioFAopOI0p4oskuA4TpicPJnyDw/XpThxIpskDA2JCqgRbNwYGfsVK+K3hlJg69Z0\n",
       "XQQA6OmJzw5ZlgLLUtHfH2nvl8sC+TZCYNv+4PXChRKOHbuW2WYRWPK2yLsyn+AHh5IkwTCMloPD\n",
       "//7fWT4Ce48o8nmKkZH4e8WuTRLr17vwPODAARf33JMmCmvXpt/Ps2dt9PbG19282TeGngds3px2\n",
       "QZ85U0l5ifg6BnxRtcceI0HVaH72oQnAxapVTWR5cd/5ThVnz6Y79mPHJnD6dLqo23xjJiSkHdJQ\n",
       "C4pkuK4bdkqTkYTBwUG85z3vwa5du7B792587WtfE673qU99Clu3bsXevXtx6NChaZ3DEhY++PDK\n",
       "qfZDyb6HyaaqqpopJiE6RjjAZ/tl8qbBIEqk2w8AcoIssMRlqZgWNSAiiU5uNp1qBqjcXh/JaubM\n",
       "VmhWKzA7wCRVRYNQ143IAYB4nkCLonIAhOFDmUiGMgHwLL9fp6oOp7g8SlaWFFBBAjVTL4rqIChY\n",
       "cfvy+Dp6lIug6Eoq3GjkTx/JbOLbOfHDKyXxipEs8dnzvNDjIGrnYrPNM8lJIIRsBHAngAOJnyiA\n",
       "dxJCjhBCniWE7JxJGxc1SWCYrZAWBuainJiYCBNuWr00yeOfOeOinlHrqqODCJVrAKCvz4aqsgTK\n",
       "tLchHh4TYWIibsR27+7A1avxmPIzZ0qxysqABM+jMdf45z//srjRAdh58snbyfCihYDJlJO+9z0K\n",
       "TePb68Q8CAw3bohH1l1d0ffnzlEUi/H7YhhZ5CLeURMSEUlDMMtTrbqx2ggAMDgY3ddTp/wcA0op\n",
       "/v7vVaQnD+pYvZrgzTfF+QX79snYv38Up055WLcu3Xk9++xV4XaLFZM9F/v27cOXvvQl/PSnP8Xz\n",
       "zz+PiQmx90VVVfzVX/0V+vr68Nprr+Eb3/gGTpw4EVvn2WefxenTpzEwMIAnn3wSn/zkJ+f8/Jaw\n",
       "uOE4DkqlUjijmiWbmgXZEhfz4omC1EIClbRIoCWdGRr+nhsbJBO7dZFHFpraaDTCCb7MY85BnyKS\n",
       "6wR8wuAFSctJ6VHPsODpJjwzHy4AxMpDovyFBKiWnlgSkavQi8C1Z+BD7xfu0yiafmgRF3Kk5vzj\n",
       "MClNvWBAs/R5zU+Y6bhMkqRQKYm9E5cvX8aWLVswNjaGp556CiMjkdLfYrPNU81JCLcjJA/ghwD+\n",
       "OPAo8HgTQC+ldC+A/wbgRzNp46ImCUnpuZnsh23PwmdYsth0NJ/7+13cd58K0QTJhg3Zhm901MPe\n",
       "vXlIEjAwMJb6/fjxMlQ1fctOnYq+v//+ZThw4CpOnRqPrVupONi2jTf0LPnHQVeX34m8/PKlSa8j\n",
       "f33mM7xoJki6nl9/XQc7f0XxB/TVavy+KIqHixfF10KSosH9jRsUu3fHn5GJiTTBA4DR0fj+zp6N\n",
       "BqFZOSfLl8eJxZUrNSxbpiOfV9DRoeDs2RK+/nUJY2MS4q8zBVDHxo0uRLe0u1vChQvs+AS9venw\n",
       "g5/8ZHLP0lzPOs2HehJT3zh06BA+8IEPwLIsfPGLX8Tq1avxzDPPpLZbtWoV9u3bBwDI5/O4/fbb\n",
       "MTwcz+F45pln8NGPfhQAcN9992FsbAxXr95apGsJcUxnsoptw+Q/+YFrFlrG1XMDV5HEKeBX/s3K\n",
       "Q2gbSbGIXAHEsUFVA86bz6XbFSgQTiURe64nnmKEYeiIcB3PEA/6k99T0xKGJtHAM0GD9Vlyd0gU\n",
       "VA2eOvmgnXkUGAEA4vkI/G9a3oCW958hNaf7CkcJwjCfmE2lJADo7e3F0aNHYRgGnnnmGWzatAnP\n",
       "Pec/c4vNNic9By+fv4wv/ssb4SLchhAVwNMAvk8pTREASukEpbQafH4OgEoI6U6u1y7m1s83T5jp\n",
       "Q8gMNXNpGYYxpQJsyc7h8GEHBw642LVLxfXrLq5diwxqR0fr5ChCZGzebGBgIK02VKm42Lu3E0eO\n",
       "jMa+r9Vc7NnThYsXSxgY8H9rNDzs2tWFvr6IZS9blgOQ1NfXUaksgyxfw8hIFX/+5wfx2GPvSHgd\n",
       "fDA3n67rbXsPZtvLM1OcPAlcvSqHBodSF5LkpcJxentdnDsn3sf4eNxz8/rrDtaulTE05H9//rwo\n",
       "nAw4caKBFStUXLtmY+NGHefPRxMAZ8/W0NGholSK5zK4bvoab9hQhOs6OHz4Bl5+eRR/8RcroGk2\n",
       "ms3onhmGi64uiiNH0jUYAGDjRg9vvhmdx+houqN6/fWbuHKljGXLjCnHWy9GMO/CI488gt/4jd8I\n",
       "XdqtcP78eRw6dAj33Xdf7PuhoSH09vaG/69btw6XLl3CypUr56TtS3j7MBORBhZKUa/Xkc/n25JN\n",
       "ZaA/+ioky4JXizyFkmHAy3Jjt5iZlHqWhdWFpWKnH2ITDOJJviuSO+XBztV18bNf+3/i7VQ/jX9z\n",
       "8wi3Kg1WddsKTeXjz+ezD6FEAjUsSM7kuRWeYUGqZ4dkhgRBjyZ6qGqA2HVQRU95XRyrCOK2CFP+\n",
       "2uPwHP8+qDkVNNFpyZoCt+lvTwUVnyVFhue4UC2fQDSbTSiK8raFCc8E3d3dMAwDTz/9NGq1mrBv\n",
       "Wgy2OZmc/CvbN+BXtm8I///L/+/1+Pr+if4tgOOU0q8I90nISgDXKKWUEHIvAEIpHRWt2w4W39OR\n",
       "AAmKmc3EiDCDxJKopho+kzz+8eP+i9rX50KSCFavji6zbbeWljx8uIF167LZfkeHeJaps9PA7t0d\n",
       "GBmJZrG7u+Oz0LUab+gVAPcA+DU0m3fAde8F8Cv4whc8FAoH8N73Hg7XZ+FFrNrnTBPFGd4O8vD4\n",
       "41IwqyVBUVy4riwkbsuXZ8ehXrwYH8jbNsG6df4s0po1MsbHsww9webNuWC9+GDA84CtW9NqF8PD\n",
       "6Q5/2TIdhw/7+Qh/+ZcrUanIrH8PUa83sXMnEUrk7tun4s0346E0p055WLEiThQ8D/j5z2++bRWx\n",
       "5wNJTwVT6AJ80tCqsFq5XMaHP/xhfPWrXw23Se6bx61OspYwdXieh3q93lZdhSxIvBynLEdegmCQ\n",
       "L5n+MywFybLM29DSmyCa5RcMJl/8yH/Fv3zgi6nvqU3xL117/c9B3wqgLYLwdrwnnqTC0+L9pZvh\n",
       "RZh0X4aVllFFWlrVUw14qrg/TyYsN3NdqI/7fQHvTQCAZVtXQFJkyLoaJicrpg5ZV/3vAglcxdTD\n",
       "zwBQ//M/DJWf+ETuhSRGkYTIpuZyuVQC82KxzWz8mrUI8CCARwC8h5M4fT8h5BOEkE8E63wYwDFC\n",
       "yGEAXwHw2zNp46InCTymM3BxHCeMPZ5KcnIrMJIAAFeuUJimBJZXlj2A9GHbACHZ5zE8LJ7hKJVs\n",
       "/PKX12PfJZOVz5xhov/LAXwAwE4AefgJrl0AWCKthJdfbmD9+tdx6VIV5XIZtm1DVdVZuT5vpwF6\n",
       "8UUFuZx/fTXNLzomsCHQNLHHZ8UKB6VS+v68/rqN9esVrFnT+tz85GKg2UxL5JpmepAwOFiLFVXb\n",
       "vDmP69cZcejA4GA3/FoIyVe5GYS9xQe5sgyMjYkT55P5DwDw4os3WyoFZakEzRbmu8NqV93Itm38\n",
       "5m/+Jh555BF86EMfSv2+du1aDA4Ohv9funQJa9eundW2LmFhYSqTVWzgzGRT27WrqWMEYSiEIwph\n",
       "8jGff2BGdoAwspAlf8rnJnSkE5gBwCv24OX/7a/91TsU6Cs16Cv9fUXVfwl+vv4doTwsa/9igKu3\n",
       "RxA8wwqViDzDgicgB0lQjhiI1vdkFR6Rw/0yKEGdIzchqKEVonurWvFK22GYUYZaFVN+AqJEbtd1\n",
       "Z6VgKTA39pv33ImwmGzzVCVQKaUvU0olSuk+TuL0OUrpE5TSJ4J1vkEp3R2s805K6WszaeMtQRKm\n",
       "403gk5NnKqPFH7vZpDh9Oj44P3vWw/btCmQZOH9+csWYej17FvvMmSpWrUq3t1BIP1ADA6WYOs7N\n",
       "mw2sXdsL4D3wyYEH4DKAHPwY/TyAyMBMTAD3338YzSZSUnyLEZcuARcvysGEmItqNTC6gpCealVM\n",
       "EtauzZLKJVi9Ws5MWmY4frwB05Rw+nQp9VtWXsLGjVFioGEQLkzpPfBf4eTz4mLPHg+Dgy4OHAA2\n",
       "bIiejXvvVXH+vDgcodFIDxhefHEkNPRZSb9MVpAVxJlM33ohIdmJVavVlt4Dts3v//7vY+fOnfiT\n",
       "P/kT4Tof/OAH8dRTTwEAXnvtNXR2di6FGt3CYM9QO889pRSVSgWO40CW5dkL9xDM/qfkUXnpzSAW\n",
       "nicKpDuukiMC7egGCc5T6VCgdStQCzKMHhWF7fF3x3MoDu1694KWFW5ceCv8zLwJxGmGuQKumYdr\n",
       "FuAZFlxzCkpGLUBF+Quymk5glmQ0rB5c+0//KRZCxAgDg6zHJ5iUnA4175+LYqhhiJGkyNAKOah5\n",
       "E2rezEzkdhwnrEG1ED3HrSTrF5VtJlLrZQFgYbRiBpjOwDWZnMxmSGcC9tAODLhwBGO9N97w8J73\n",
       "KMLwDx5r1ih49dVxrFiR7QpOVuLt7FTx5psjicRkoFy2sXUrPxOk49q1++AX2gJ8gpA03hYAGaZ5\n",
       "GcAAbtw4jXvvfQGvvXYDix1PPinDceQgSZndBw/XBPm5V66IB/tZtRMA4Je/dFEui/MRGOp14IEH\n",
       "OjA2lvYknD5dRaGQnvFhFZnvuacHfX1jGB1tYvny1QDY7EfymbJhGH47XZegq8vfXlHiydJJnDxJ\n",
       "oSjx9+DSpTrOnEmfE0sGZ8SBL17ECiTx1aCn28ksRE/CK6+8gu9///t44YUXcOedd+LOO+/Ec889\n",
       "hyeeeAJPPPEEAODhhx/Gpk2bsGXLFnziE5/AX//1X89H85fwNqKd55RSiomJCVBKw9CbqbwbrSbD\n",
       "CEcApFYVgRPrhpr9Sa9CIe1FoB1+/uMrj/wFAMDoUaEXNchakFhrJKs9+16F13be37I9WZiPwans\n",
       "NiHRyK5TORpwu1p6Qs7Nxftf1yyAKv6183SfJHmGFakiBTkJrhl3WfNEoVmIyJltpqXOWS4CENU+\n",
       "UE01LJimFXKQtSDUKPAesEQ7Fl7Gwo+ywAgDPxkkSVKYq/l2Ewb+uCyyIYnFZptnIoE6X7glEpeB\n",
       "9l29rZKTpzsg4bfhQ42SqFQourtljI5mDzR7e1UMDxNs396Ba9fEA3PHiXO7PXs68ItflFEspl2X\n",
       "K1ZYXOXmvbBtFrpSBu814M4GgIZGI0p4HRoaw4c+9CK+9KU9+MhHNma2XQReNnXWZ86miH/5FxkA\n",
       "hetSsHoCluWiUonf83zew+WMWmJ8teokHIegs7OdV0r8jLkuxebNHTh8OJ5jNDHhQpYJrl2LBuu1\n",
       "2jvhc3wvtb9czsbhw1FuyuHDBNu2qejpAV59NZskVKvA7t0FXLlSx7ZtJi5frqDZ9PDyy9exZYt4\n",
       "0MHeGUYaWNgEpRSu68J1XTQaDXieF3ZA7BlYCJ6p5Dtfq9WEMaw83vWud8HLKjzB4etf//qM27eE\n",
       "xQOm4JMFNjmlKMrs5HWZlp8n0Ig8gySr+Nd0wYW8ePlOEM/FG//hP0PrVCDJUcEnNafCtT2ohoye\n",
       "O4oYT3jMiUpw7t9+EN2vtJbZ5sHCXubaTjiqCSrJUOwaPCJDhgtHz0PygokcUQ0lqwilLhaFSOUj\n",
       "ECmqvwCfVEiTSMUy1M0uSNSFrClw6jZUU42FGy2/PR4mw0gApRSKZcKpcEntQfgKTziE7Q9sIpMf\n",
       "ZdWQHceBbduo1+vhBJGiKC3vz1yFG1WrVWEEyKKzzRnV0hcSFr0ngWEyksBcvNVqVajtP5PkZ34g\n",
       "fOyYWP4S8Kv63n576xkeVfVf4NHR7Af91KlyKJ0sScCZM75cqmh2Oiq+tRLARu6XMcQLbzHYkKRx\n",
       "eN6y2Lfj4zX84R++hgMHpu5RoJSiVCrBtm1Uq9UwiW0+ZyVqNWBggIUDRcfs6Ulf595esWwoAIyM\n",
       "ZJPAlSslHD5swzBav/itiAbzGvA4e7aCu+/uxoULrFNSUS4z96gT5LDY4bJrlw079igQFIsaLl4U\n",
       "d2o81q7tQLNZw/7913DuXAVDQzW89NL1SbdLIik7a1kWVFUNEzV5T8Nsxb/OBiqVyoIOjVjC4gQr\n",
       "kpYUfphqv8P3NSF4bX5R8rNpRkvSw6DqmVWFqSBPgq8hoBc0EFmCrEqQNQma5a8v6wqKXGFQz6FQ\n",
       "czKceut8PB5MLrXRaKBer4eTDm+XnSA03U84RjSZIExyFmzD5yB4qhF6IFph9Aufz/xN1qJ7xAiC\n",
       "YhpQg6rbimVCNjQoZnRcxTKh5vzF+dr/PunxgaheAQs1lWU5DDOt1WqwbXte782tUG0ZWByehH8V\n",
       "JIFVTqaUoqOjQ+immg2FpEqlguPH0wN1hlqtif3769i6NVsXeWTEZ/59fTWsWiVeb3zcxY4dvit4\n",
       "794ihof9QXd/fwl6Ilbx3Dk2MLwj/E6Wx+HnISThArgBz9PhJzLHj+84Ln77t3+GRqN9Y98MZHeY\n",
       "54YlwAJIqebMZSfwve9JqNfloC5CdI2KxfTxOjvFg3i/dkL2ua9bJ2FszMO+fa0HmcePl7Fxo9jA\n",
       "3byZPvbEhINajT/u/YheXReUuvBDyPznulwWPYNyZgVphgceMHHhQh2lUvwcX375xozvCyMN7Blg\n",
       "yZpMVpfFv9q2HSMN812HoVarLZGEJUwZrfLi+CJps1F4klIK/PRvJ1/RyEWhRDx0A7AE3jIrCKNR\n",
       "VNDOeG6CV4hCWc1OHWanDiIT6AUu1EhXIIeFvHxbpHUq0ALvqqxK+OWD75q02Y7jwPO8MEY+mVg7\n",
       "m33F+OULkDzf3tmaFfsba5MuzkXwuNCkMIchCFGaLPnZlX2CwBOFppkO8VI5QQtZU6BZWhhqpHXk\n",
       "IakKZEOLkQEqICiSqkKxZj6wJoRAVdWQMCiKEiMMbOJntsHb6lqtNmk9kUUBSWq9LAAsjFbMAK1m\n",
       "ZCilqNfrYXJyPp+fk1AXz/Ng2zYIITh9OrsDGB6ug1J/VlcEXSc4fZoN6gm2bMlOklq2zH/ZZTl6\n",
       "GRsND9u2xY3M9et1LFu2GUARQBWAC10XuzoJuQ6mcOSHsCxLrKHi5s0yfuu3fprZLgZGmuqBZjfL\n",
       "+2BxjwBSCbCzGcuexI9/7HdUfj5CdI88T1TVVGzgenvdxAx9HCxp+Wa6xEWI227TMDrqYN06cXLs\n",
       "6dMV6Hr8Gd23rwjL4ontluCvC/9cot/yeQcnTqQbWa062Lo1u9O6+24Dr746gv5+G5YVJ5pXrzZw\n",
       "5ow44X6690eSJKiqGpIG0zQhyzJc142RBkrpnHQ4WaCULkrd8CW8/RD1Qc1mExMTE7AsSziomY7g\n",
       "husKJjFMK0pczlmAoKpvWxBU/uXR99m4NLusStALRlTll4+T70wX/pLk1gSpXq+jXq9DkqSwNgtf\n",
       "8JCvkDwbhEHxWhh0ALZegBuQBof7HJ4XVwhNVDXZ1S24mpnKbeClT5tGPMfBk1VQSUY1twyUyGhM\n",
       "+H2omgvyHhLhQrLhfy9xk59KzoRsGOECADJPEFqEuUzVs8UTBuYtZhEDwmd1FtBoNG4JkrDkSXgb\n",
       "weI/G41GmJzcCtPxJDCFJGbUNC2XUjZiyOdJKF968GAT27en27N5swbbjtowPp7dnrExD52dKg4f\n",
       "jhdH6+wUzRSw4hwdAKqQJA9+aEpsj6A02aYCkt4EwMBPf3oezz57PrNt7Np7njdpfPdkYSnJGebp\n",
       "4vBhGZJEU6SAU0ILUS6Lj9PT09rg1ev+NT11ysGWLWIDtnq135GU0uJGAHx1rK1b4+TQ81xQytq9\n",
       "BX4uiQs/HyH+Cm/YkJbI3byZoK+vgTNnxB3Dhg0qTpwYC45FsG1bOnHuwIFkEb4IszHTz5MGpnst\n",
       "y3IsEXo2noMkRJ6KhZArsYTFD/bcFgqFcCJEhHb7HTZbO6Xn08jF//LQdSAfDFBb5DLwXoRwt50m\n",
       "CEemNUuLhb4AQM/m+HZMnafv4X8jPA4jCFn5GllKPDMhDB6RYStRn8l7EewM74HDrUOJLCYHgoTn\n",
       "VnURgKBWgxTfV+PrX8hufABe8lQ2dchmemwhcetIigwlb0HJ56DkxZNV083N5L3FTMii2WzOivJd\n",
       "0pNwK4QbLakbzSPiMqRNjI+PQ1GUtsq/J7dvB7xCUi6XgyRJOHNGrGwEAOvXx1+6QiFtlLu74+v0\n",
       "9VXR3S2e2Tl5sozdu/NwnHibkxV7gR7cuLEKUZJyDeVyD/zZZ5bURAFk5VIkvQl+e37/91+A66YH\n",
       "a7ZtY3x8HKqqIp/PZ177rOudNDTJGeZKpTLlgl4HDhCMj8vI513wj3yh4KJUShvDoSHxIFTTWpOE\n",
       "4eHoGmapU7lBRc0TJ2qpGXsGnuj19po4evQmrl1j+94HXpkpDopSKa1E1NPjr3/lCrBnT9ywKgqg\n",
       "KDYqlWhfuVy6I3v11WkXbJwy2OyhqqoghMA0TRiGAUmSQmm+uSjstlDyIpawOMHnC9RqNdRqNXR0\n",
       "dLSsgdDuYMy2bUxMTERiG1YBNJ+oa2Ja0WCfz1PgiYKRPbCiway4Z8UnCagk+6EPhEDvMGAE9sns\n",
       "NGLEQC/ooSeBeROi3zToBQ2KIcNtODj1P/9PsWOwybZCoZDqM0R9xWwSBkI9NNXoermyBjdjME8F\n",
       "98sLwoY8WYt5FgDAUYNrHwz4PCke6sxCjlxFQ92IrnvN8AmW23TC68mg5nSoOR0r994GSVMgaVro\n",
       "RWCzz6xGBiMMcpCjQFQV8jyEUybV73RdDyM7ZsMDdKuQhCVPwjyADzfyPC+WnDxblYGTYANhRVFC\n",
       "o0YpxcmT2fHqXV3xl+HgwQY2bUrG/Me39zyCHTvSBa78NlBhjHl//wQUhb+tm/it4NdCQPDXhF9I\n",
       "7QbESkdsvWQOh4abN2v47GdfDb9hHWO5XBYmhk8XyRlm1klOpQrwN7+pAKBBsnfUpjVr0oP+7m4X\n",
       "IxmT5vGK1XF0dhJcvhzN4r/1liNMYB4c9Afxtg3s2CGeqZqYiO7rhg2+IbxwoQpdtwB0A6jDJ2vx\n",
       "+28YDgYH423M54EjR6LwMsuKP3P33WekJE5HR9PtfvXVbE/CXCKrRoOosNt0SMOSJ2EJswH2zLBQ\n",
       "i2az2dYEVTuTU81mM7SrSY8EzbXw1JoZg8EkUVB1UCvtPYSkwClGk0Snv/CNxM8y9IIOWY0PI9iA\n",
       "VrM0rNqzEnowIcZCjmRdgRPktbGicszj386EXhLTJQwjV+MSdh6RIbuRDSdeCyW7ZNgRyy8g4vY7\n",
       "KqdupBiw9dYe9iSYMhFPFvj8AtnQIRtx286IAe9ZkEQerb/7v6fUlqmAhW9Odn/asdv877dK4jIk\n",
       "0npZAFj0JIGBsdRWycmt0I6xZgaNGewkCTlxItuoEJL8jWDVqvgLyxKQebAKvUmsXq1DFsR31mou\n",
       "tm9neQkagHXcrzcQV73Nw6/W2+q8CYBkMpV/bb/1rROo1fzwD1aVuVgsZl77mQ6+sgaLQCRty/JD\n",
       "+E7hwAEZhHipfAI2ww4Ay5dTPPigi507Heg60NUF3HsvwY4dUZuvXs2+v+vXx1+lUsnDHXfEO5KV\n",
       "K5WYt0HXxTOMZ85UIUkEqkpw/Lif4OC6FLncPfDvlQmR9GlPTzrUaPduCQ3OSXT8uO89AIB161Qc\n",
       "PJhOoOjvd2AY8fMZGChjdDS9//moYyAaxM8VaVjCEmYCz/Pgui46OjpmJbeFD1linrXY80wkUI4M\n",
       "0CxiACCSxJMBzfCXDIhCaHjwxEAvGFCMiBgA0WBWSdg46lJ4jgtZlcKJJVavaDauVyvCwMJd+L7B\n",
       "CWb2aWBLm1r7g3eeKLhK2oPAvAihN0GApi6eBAQA8u0vx/6XVTkkWkBEAoCoyjbRtajSNkteDrwY\n",
       "spUDCSovE1mGnLfCZb7A3x8WKUAICUOSJqvFwPqCer1+S+QkQJJbLwsAi54kMHLQbDYhyzIsy5qW\n",
       "sZmMJDAJO9d1UwNhtm0rT8LERHqAdfBgEz09/oNQLEq4eDFNEt56qy4MS9myxcSVK+Kkq+5uZjw2\n",
       "IC5zmmX4022LozNWuRkgkGUFlUoTf/zHP0epVIIsy2FxoPlCskOwLCu8F0xm8803G7hyRYZp+nUA\n",
       "eDDS8MADHqpVildekeB5HhoNP/n49dcpTp6keOc7CTo7KS5fzo6F7xDY+mQ9iw0b4qRwcFB8/8pl\n",
       "F1u3FrBvX2dsYD4x0QvfG0Tg5yTE999sphPSb9yI39tSCdi92++0Vq2CsLif6wJbtqRP6I035i/k\n",
       "aCpoVQ2akcesmFie5Liuu5S0vIRpgXkQgKlVp2/V77QbsgQgXm05EfJCA43+pH4/VcSTOVnfA4DZ\n",
       "lUOuOxfObDMouhIjBGpQ0Iv9BQCjGG/XwIffD9u2U/0GuyazNanEBqSsz240GqhWq/CCWf+GIh7E\n",
       "22oOjmKiqeXDBQjCrzikCIJAHQnwvQkOt66XIX9a0yLbm8zzSIL3DJAg70AKyINkmpAEs+2SlYNk\n",
       "6BFpTGA+C1gyaVWWh9Zu8bZbx5OwpG4052g0Gmg0GtB1fdLCHjM5RqlUgq7rQoUkZtROncqeaR4a\n",
       "Sg/gmk1g507fQK1fL2aNjQbFzp3pAdvoaA1nz1axbFk6SSmKL+8Nv9P1GtLVlQH/EVh3zeV+AAAg\n",
       "AElEQVSFbKJgY+NGCs+Lv5Cu6xvcp58+C103Jg3tmo/ZXKaexCoA53I5PPmkCc+jqFZlJGfeb9wA\n",
       "HnzQxauvkrCgmqid+/dT3H67h1Y2ybbTBPHIkQZ6eiIj78uvRhgctLFunXg2ZNkyM6EMUYTj6IjU\n",
       "p5LHo7h+Pf6Mbdki4fTpdLsMQ8WOHToOHhzPOh0Ui+mTff31+SUJ7F5M9Z0WJcNnVYPmNecrlcqt\n",
       "0fEsYd5RqVRCNZ7ZkDjNClnKIhU8AWD1DWLfccW8eK1+qmqxyr9254rws5OPEo8vff1bMLhinUbR\n",
       "RK4nD1kNqvkGg1nF0EJioASqOyt3rQq30/Ia9IIB1/YgyWTWPAjtgIW9sAFpEg0uL6GZQRySnoYm\n",
       "l9zc1AuZuQw8HCXdZ/PEwJVUeESCXWGqRv76Wt6AXogWoqiQC3kQVY0lJgPwSQD3WbL885HMbK/G\n",
       "XGAqhIMnDLlcDrIsh57hWq0WC8e+ZUiCLLdeFgAWPUkwDCM0pDMZiGZJqJbLZdRqNRQKhVSF5uS6\n",
       "/f1iT0JXF8GNG+Lf+vttyDLQ0ZH9IiVnkZYv13D8uK9Gs2lTmkD095dASAF+/LoPSRJJWI7CD11R\n",
       "IQ45sgGUcP58HWmC4T86lYqNL33pcGbb3874bkmS8MYbKvJ5GhQcix53VfWwerWDV16JvwLj42Jv\n",
       "AaUutm5VhbWKAHCJxRFcl2DHjsiQjYykieL69eJZJ9smOHqUDwW6I7FG8nmqI3kPV6yAEP39ACHZ\n",
       "Rf8AoFxOmwZRaNJ8zjpNF1kKWkxetdFo4IknnsDjjz8OXddbqid9/OMfx8qVK7Fnzx7h7y+++CKK\n",
       "xSLuvPNO3Hnnnfj857MLIS3h1gELP50qkv0Ok452HCfTM1s8ux+eoHgXFSgU0cR6qWrAGd+1bDPn\n",
       "VVYMFYqhQtbUkBQoQQw8/5f3IlCPwujQIWsKhv79b07p2LOF4RtlyFTcJ/NkQfz71PIJGPjkaEcW\n",
       "X3M3CH+ynv7rlvvq3rMl9Z2cL0ShRgIQPh8hGIRKOQtSssDeAgDLReRrMbBQvscffxxHjx4NazDx\n",
       "WHT2eYrqRoSQXkLIC4SQPkLIW4SQTwl3S8jXCCEDhJAjhJA7Z9LERU8S2MzNTIuhJbdnBdgAoFgs\n",
       "TqpQcekSTYWzMKxblz2IunqV4o47dDgtSqWfOlWPeZ62bcuFFYFFnUi57KC7O25EarU0K2W6/j5W\n",
       "IVI7YhhHJIGqIR66RMDCl77znVOZbX87cf48cPmyhGpVCorLRPfhgQds7N+fvqeDg+IBIiEujhyh\n",
       "uOee9CyQYQAXL4prT7AkaNOUcPp0+gER2LlgnxIcJ3l/WHvjBeF8xI8vy8DJk+I2rV2rZVaUZjh3\n",
       "Lv08vvnmTXje/MX3z5X3iScNkiTBMAzcdtttOHfuHF5++WWsWLECH/7wh/HjH/84te3HPvYxPP/8\n",
       "8y33/6u/+qs4dOgQDh06hMcee2xOzmEJCwtMy3+mBTnL5TIopZkEgSfkPFGgsgoazFBTRReSCB6e\n",
       "ZsQ9DVlVlwPNfoZknQNeflO1uKq+TFVHT0ujAoAbiG7YtdZ1CuYKChw0SdTerJCjLDTUfDigt9Vc\n",
       "qFKUhKOYsBM5CUzhiBEFV/K3dTjlo+bYBGRdhWLqILIcXk8GwoWEJb0IACBZFiQzFy5A5EUgsuKT\n",
       "gwxCsdByuFgtBlVVIcsyNmzYgFOnTuEzn/kMHnroIXz7298O11109nnqngQbwJ9SSnfBr6r6KCHk\n",
       "dn4FQsjDALZQSrcC+PcAvjmTJi56ksAwWyRBVICtnZnSgYHsY3d0tG6X40ih6o0Io6NuLOSoXo9G\n",
       "lhcuiAeClcpq7r8S0vUOGqjXeSMRDfqDoyIKbWG/M2NHg8U3VMPDFfz4x2cy288w38bnq1+VIUmA\n",
       "60rgZ9kLBUcoVbtypYOJCfG+WO2E/ftd3HNP3Chv2CAjq2bMyZM21q5VsWWLBtdNn39/f0NoC0ZG\n",
       "6ujtZR39CsQrZItIQrwBe/bIGB0VEx5JstHT03r2sFSiWL8+3rmNjzs4c6acscXcYK69FEx9433v\n",
       "ex8effRR/NZv/RYOHz6MX//1XxcO0h566CF0daV145P7XMK/Xky1GBXzaE1MTIAQ0lafw6Q4XTOu\n",
       "kEYFoSztgicKjtUZkoOx7z0FAMj1FKAXrVQ+glaI7ERqMBt4HVbsigQ0aOCp8xwXsqbgyh/9L9Nu\n",
       "83RhU7/vakpxO+hI2fkYIvnTJJqqhaZqhfkM4fFin/1r5HDEghGOqhr185SbkKGJDkayLBBVAdF0\n",
       "EN0ACSprZ+YhcMX1iKBmlPqTuOdituzubHqama1+//vfj3e961146qmn8JnPfCam+LXo7PMUE5cp\n",
       "pVcopYeDz2UAJwCsSaz2QQDfDdY5AKCTELJy2k2c7oYLBfwDONObz2Zy2i3Axrfh9OlWv7fW1x8c\n",
       "9IICZ9no6vLbYpoS+vrGwu8vX25g3brkrFEe9To/wBOFGo0jGaPvD0br8PMTRJ4TC4qiBuvU4NdW\n",
       "8PfxqU+9JKyb0Apz/bL+4hcy6ikORQPPU/rYq1dnt39oKGIV/f0eenqiV6e7W7RFhI0bTRSLYkNZ\n",
       "KnmpSsirVuno6xvHunXMrb0DcVIgChWKuyQ0TXwu27YpOHKkhmvXJjfcq1fnsG9fB/bssZDP+8nZ\n",
       "b7xxIwzHWVDGdhZQqVRgWRbWrVuH3/u938MHPvCBKe+DEIL9+/dj7969ePjhh3H8+PE5aOkSFiKm\n",
       "W4CKEQRFUULxhamAJwo0w+PtBTkJKVKhGWECrWNGA9Sknn+uJ9pOL1pQTB2SqkDWgkUP1IzCfAQV\n",
       "Sk4PqwHz3gSjaEIv+Ou5TQdOff69CTJxQTgJaVdSwoG67DloKibqah511QqXJJqch4D/TGh2P+Io\n",
       "CVIia6hpYilsHoqpQ9Y1KKYeehfC4/FhRGxgGZCGMJEuWJ9oWmZV7cVkz+v1OorFIh5++GH87u/+\n",
       "btvbLTj7PIPEZULIRgB3AjiQ+GktAL5M7CXEZS6n1sTpbrjQMFO26nleqJA0Hb3mixeBBx9UsXx5\n",
       "uh2lUmv1oN5eGbfd1to9PDzsD1J37cqjXo+Tjg0bkkZmVeJ/kStUdH6s7RMQPxoKHCcZ++4BcHHz\n",
       "po0//dMXxI0XHWmOZ4ivXwdu3CBoNtl5svNxUCpJKAsmxC1LbNy7uz2Mcjm74+PApk18MmFrEnj1\n",
       "qodqNbsjZASQYfPmQI2EsjavTmyR3JcNvmaCaQLHjok9TB0d/noDA25moT5/PRnFoonDh0dx7Ng4\n",
       "ymUHpZKDgwdHYkXt5hLzke/AH6NarcKaYaGhu+66C4ODgzhy5Aj+6I/+CB/60Idmo5lLWCSYqkeb\n",
       "SXKyhM2ZPO9JguDpJjxNDwmCxyUvJ8lCbLsM1R0g8gyoOT1TeYfJoTKogZ6/UTRhcIIILCE36ZmY\n",
       "aVTAZDh/Ne619xK1DepBzkFysF8X5CLwFZKzQo5EsFt4fAo/+DIkNdqvlhd7fUnCO5DyEDCCYJoR\n",
       "aeCVq0wLsPJAzgJyVpggDCxMwsDb6ulKoC44+zxNCVRCSB7ADwH8ceBRSK2S+H/aN/SWIgnTebD5\n",
       "Yi5M+WA6hrqvD3jlFReUEuzdGzeeImUjHvk8xdmzdpYiGQDgzJkG1qwxIHJuNJvJ8+ZJQhl+cjKP\n",
       "CcRDiXjkICYQDMnORQbgwXEcfPe7x3HzZjKvYe6Nvghf/rIM2ybw3xUPgARCHDAPyaVL6W2yElbX\n",
       "rk23/Y03KHbv9vc1Otp6sHz6tIOJiWySMDYWP+7Nm/7z4j83y5C+f/FOWJbj13z3bgW1WrrNq1bJ\n",
       "+OUvmVeJYMsWcRzuqlUqOjs9nDmTfm6PHCmF+uMsHGex1iVItpN5EmaCQqEQJrC+//2+xOPo6MKU\n",
       "jl3C7GE6fYbjOKjVamFV8ba3M/JwjQIoP0DlchBcw8rMMQAAT4/ee+Y9YMSAyi3qCyXOUTaifAOt\n",
       "kAu9BgAgm37/wsKPpAzFB83SoBgqRj7977KPOwdwqIIm1UETQ6C63Pr9r2rxonOiXIZmEFrUaFEf\n",
       "AQBsuXWkgpIT/971Dj8pl5hm5EVg11c3IkLAwBJgcxbA1hckK1uWFU6OVqvVsIbFTPNs5mKiZ7rq\n",
       "RgvOPhMSW35+9BQ+/73/N1zEmxAVwNMAvk8p/ZFglSHw0pa+F2Fouk38V00SXNfFxMQEHMcJNXqn\n",
       "CxZudOOGX1Ttrrt849nVBYyMZNdPAIBm08XQkIM77mjtdty0KY/z59NB82fP8jMjOgA+Jk9EMkXh\n",
       "R2FrkFbO4SFWdvDlyQg+9jFx0tBsJJdPBf/jf0iYmGD30wMhNEzW7elxMTKSNlxZMfyFgvj7ZlOC\n",
       "LAOXLrUmCb29ClasyO4Q+vubKBR847xihYbjx0sAgMHBGhRlD+KTAozoePA9CLUgzCu6z54nvn+b\n",
       "N5NEwnK64y4WZei6i4sX6zh7tgnTjBPGo0fH4DgUsiyHksNzVcxsvp6V2fQkXL16NWz366+/Dkop\n",
       "uieLR1vCLYN2bZxt25iYmIiR7anC1WYmZ5kl19k0o+KZ49/529TvkiKDKDJkNe1JUEw9rATMkpol\n",
       "TYFimVi+Z2O4Hk0IILiNbG87ez9nyx64NH69G8Rvb520dz3rah4eN8vLcgt4wsAThaZioqHk0JQN\n",
       "1BXfvjhBsjJPFGpyAS4UeM3IfqtWxkBY0+JeASBNDrLACIKc9uCwWhJMUchxnNDDYNt2S+W3+cR0\n",
       "ScJCs89UlmPLQ3ftwmc/9pvhkgTxX4a/BXCcUvqVjN0+A+B/Dda/H8AYpfTqdNs4SYWWhQ9mQKY6\n",
       "AGUFOwzDgGEYcBxHKKnVDm7e9HDjBr9vgr4+F9u3E8gyxc20cmQMTD7TNFvM4gT7HRpKJziPjNjY\n",
       "tKmAs2cnACTzU0QdUNYsUxk+CZCDz6IZAA0+EeEHxgoAB82mi5/97CJu3qyhqyv+ArOKipIkQVGU\n",
       "mD79bOPmTT/UKPKIeCgUPJRK/uO+bh0NVYcieBgcFLeHUnE4UX+/h/e8R8MLL7Q2nCtXEly5kk28\n",
       "/OJlFg4dKmHLlhyuXYsG/JSuQvw+NOB7DmX4112Bnx9iArAhSQRHj4pqIxAcOxYnh+fOxc9XkoB1\n",
       "62T09U0ExybYtKkQy4FpNDycPFnCnj3RQIIVLWKzUJTSMIyi2WzC87zwd1mWQyWYdjCf8qqssm0r\n",
       "/M7v/A5eeukl3LhxA729vfjc5z4HO6jK94lPfAI//OEP8c1vfhOKoiCXy+EHP/jBfDR9CQsIk9k1\n",
       "VsyL1dyZSdieq+UgN/0+wdUtEDf+7ru6BblRCf9mwTY6ILvZ/Z/emQeRJEiaAnsi6oPUjjy8YICv\n",
       "5nOxBFslZ8JNJ4WF8BOYJbhNJ6aMBERSsK7rhsqCsz0rTYX929ThEiWUU53MO8DgSCoUL+5ddqBg\n",
       "zT/9Z3imDrtchSTL8GwbkqrGrhGfj4B8B9Cs+9WznWB/rOp2rDI3AWzB/TUtQPC88opCzJ47joNG\n",
       "oxH24YqizGvxSZa4DPiFBkUkYdHZZ4HM6SR4EMAjAI4SQg4F3/2fANYDAKX0CUrps4SQhwkhp+HP\n",
       "CH9sJk1c9CQBmNpAgoUXsUqPzADNZJZbVESt0SAYGwN27gRa5cbk8xIGB/2X9+jROixL4oqhxaHr\n",
       "MgxDTuUkAMCaNfmAJETi+IQ4oDQ+O2IYNdTrWYaMFVwzAdxAOswlbDXiJEEG4IBSoNl08B//44v4\n",
       "u797PwDEFKNM04TnefA8L/yOzUjPViEiAPjGNxTYdvzlK5Uiw5rPp6/v2rUUQxkOufHx7JyDapVC\n",
       "USBUS2LQNIIzZxz09mrhvU7CCOJ4KxX+9y3wPH62h8L39JiJ75zgu+vwPAeel54N37dPwWuvxc/7\n",
       "+nWKjRt1nD/v38sHHsjjlVfi7KmzMz07dfjwzRhJSIJJjPKdOyMNjUYjRhqYN+LtqLWQHHTUajWs\n",
       "Xp3M/4jjH/7hH1r+/uijj+LRRx+dlfYtYfFhsue4Xq+jXq+HfY+bJYuWgcZbL6a+S1YABhAjBa5u\n",
       "xf4CiJEJL8Oj4Ekq9M7Ic8zyEbTOAuxyRBSSEpwyFysuGwaIRODZTirkiCQGmCOf/nfo+eJ3YkUU\n",
       "NU0LZ69rtVpoV6aaM8hwZkSDKrlQiX/+DapDJTYangGZyy2rk1xM3MLw4gSrrlhQXd9uOpIGOUHO\n",
       "mrIBza2Hf3nYUtT/MjWlkDAEeRBqzox5V2KqUR1FoJ4O64VVACpBpIFoLKMG3ge7CcgKqKaDcM+f\n",
       "+uoP0bxfOHsdXneeMPCTfiLCMJee4EajISQJi80+i97dlutT+jLaiACilP6H6bYpiVsu3KjVg+k4\n",
       "DkqlEiilk9Y+mAqyKi1fvQroeutZ5ttui9pQrVLs2ZM9k1mrNbF9u/h3f8KGwI9h90HpOJK3WFGy\n",
       "ZnaSg89Wrst4yBHfMeq6hn/6p340Gk6o2gH4xYbYoJDXp2cdZa1WQ7VaRb1en3Ec5D//s4xKJTpv\n",
       "/zZHbXSc9L5XrszurAcHs39TFIJ77mkdojIy4hv7DRuy1xsedlAoyOjr46sgbwalzIhQ+DKnSW8T\n",
       "3zktQ1ao2OiomJysXu3f8507zRRBAPyQqiQOHfI9C+3O7CWLmeVyubA4TvK+8+7s+S7UVqlUplUQ\n",
       "awlLmMyjzSaneILQav2pwNEje+xqXG6CLrY3lMjwFB1ei+RZN5G8nBzQ86FGbPAv6xqUnHhiSVIV\n",
       "yDkTZpcVLkbRhJY3oVqGTyIUOVQYBADTNCHLcqgyyP7W6/WwIvV0w1+aNO21d6h/TnXB5FhdSl9L\n",
       "3mvAwoeSSdDh8aTWoUAT4HIduFAsltuRAh9qxBfD40KOWJVt9jesnaFq8Exx2PBkzyKz5YZhhJXs\n",
       "Pc9DtVrNvCdzIaea5UlYdJhiMbW3AwujFbOAVg8iX/uAPdzJ9WdirPv7sweRV664uP/+7IFHZ2e8\n",
       "HaJBGeAPRk+eHIdliQ37wEAZfoVl3vilB4zVapZRTRKKbuH2AEVnJ0BI1ElQSmEGMx2NhodarYm/\n",
       "+Iv9GB8fh6qqmTPFzKVpGAZyuVyYF8LiIKcT1z42Bly+TOC6zFi7cJy44RblKeVy4uuyerWHiYns\n",
       "Y9dqNi5e9JDFN02T4PRpf9bn+vXsDu3CBRt33pnnCIwG36vD2u7Avz/JToh3WbsQhZJt2SKjv19M\n",
       "Dm1bhqoSVCri34eH020+fHiS+LlJwKpp8vddluWQLFYqFdTrdbiuO6ezUUkSMhs5CUtYQhK89zqp\n",
       "nDfVfsfWC2jqHanvKSdrSRMDfCdIoHWSRb0EScoNoxgq9tQMsbdQUmSonR0xD4Kc9CawYmoBaZCC\n",
       "v53b1kftFBRmLJVK4fVJ9hmMMORyOei6DkppOMkwE8LgUjn0ItjQICG9HwrSMmfBDfpDm2hoSP65\n",
       "NoNiaeFfQU0GJ0FWCOdtUbLyERQVtFD0PQNs4duq58JK2yFR4IhESr1KMBZqByLCkLwnc4Xp5iQs\n",
       "OEy9mNq845YhCYDY4Hqel6p9kDVgne6A5OTJbOWay5ebOHnSRXe3+IYnKy0fOVLHsmVp4715s4Zy\n",
       "2c0MVxkft9HTsxbACPziaRUALkwzGvzJch2eJ5qZiAqjRfBDiOJwAYxjbIyC0vh+4mo6Er797WOw\n",
       "LAumabY92yxJEjRNC0uxs5kjlj9Sq9XQbDZbDh4ffzx5f/2E6vCsZA8XL6a3azbFHcyqVa2fieFh\n",
       "G0NDHt7xDnEHsmlTVETt1Kkm1qxpIS8Ym4XiE5Zt+PenCaTiaPl7NA6gC52d8RjnZcuyz2FgwMO9\n",
       "9+Yyi/INDdkoFuPPRl/feKIa9PTB7jtPGlgyJwtRmi/lpCWSsISZItmPsJlx13XR0dExazHcTS0+\n",
       "E+xy+vthRV9FPAvtcAnPrqyF0p2urIUz4gCgfP+rse2IIsfi4dWOfOhFYINbyTBCYsCIAl/ZlyRC\n",
       "jlhhNab/r37r/wq9eVn9BsuBmiphODJkQiYUJFCDbHgavCCJueElisBlKEY2YMDjZnhFHoYsUEiw\n",
       "iZ5JNtb95MsAouvGQy34xyk8cF96v6oeehCoLt43C2vxlHjCs5cr+IuZz/QutIOkt5jdEwChXPZs\n",
       "TvrwuSqLGZSQlstCwC1BErJcvbZto1QqQZKkSWsfTIckMMN08qQ4xKNQILh61cHYGMXOnWLWe+NG\n",
       "fHDmusCOHemXdfly/8UeHKxnhq00mz3wQ06Y63IZajULfvVkCtcVlxM2jCrEycx8aBOFn8zMDH7y\n",
       "fKIHWtM0XLtWxWuvXREeD5j8eic7AsuyoKoqPM8L3c2iEJV//mcNjQZ7rF0kB9W9vRSNRvvKRrlc\n",
       "tpeoWCS4csUniOlEaB9JT9Ftt4mNuCwDrsuvuxYRUWPPrYiMRs+eafrnXS5H+zEM4OjR7Grepinj\n",
       "yhVBfGsIgo0b489jreZiYCCjNPUMwe67pmlQVTXseETKSTPtdJY8CUuYbfB2ja+iXCgUJvV2TwYn\n",
       "kfjU1CP77MkqPEHSbNKLkPQmANlkgkHvLkLv6YRaTHswgCgnQUro1oeVf4NcBqIqkK308SlXhNOp\n",
       "1acUnjJVwtB0FTRcvy/16NSGPyzR2aYBqaLRINWBGqokJdGkYu9/zQvuSeBNIJw3hihyWCtBDSpa\n",
       "M6IQIuFB8FQjIgOC2hgA4gTBLEw5Jr4d8DYcQFjPgPXb07XdvL1+u/LYZhtUUlouCwG3BElIghmJ\n",
       "crkcDjDbfaDafXCZh6JabeLCBfE6vb3RMV99tYFNmxJFZlTg/Pn0AG1sLN2GiYnIg7B+vSgvQcHE\n",
       "BD+YY/sl8JOZx9ObBGg0sgaJHYgq+ZbgqxoxGEjPagdG1PaN8mOP/TzzmFNF0rXJQlRYAlW1WsXQ\n",
       "UAMXL8qo1SLp02S9leXL02TA9y6I73urGfP166PX5/RpF3v3pjvbZjPesYvuLQDs2JHDiRMsOa4I\n",
       "v16FBJ/osOMkr7cX/O4XdKvVjKDNBWze7Bv/PXtkVKvZz/T69RJWrmztts0LivkcOjQ2LzkDfIfD\n",
       "PEys82k0Gm17mNoBU5xZwhJmCkYQZFlu2f+0+/4wyVQGGsxmN7iQIJZH4CrapAN/R8vF1kmuX9M6\n",
       "oHX6Cw+12BEPiSn6fZFkRH2DxOUlSIYekgdJy/aiAoBn27FaC1NFkjCweHlGGGTJg0RYtXhOsCDh\n",
       "Xa95BuqJJYkkQRAhSQ6aNDo3m6bPk9pBX8F5m5SkV4Ef5GuG70UA4AZeAI8PKwpCjjzD8itrc7U0\n",
       "+M+xNsyyTU/ek9kiDLcMEnUSUssCwC1FEgghYe0D27ZRLBbDAUU727YL27YxPj4OWZZx44aVqWzT\n",
       "yYV0ui5Bd3e8LRs2qLDt9Mvx1lt1rFgRGSFdJzh1qhT+Xy6LXqguiCVLw9YgayaaZsx0+PujkKQa\n",
       "4gSB/ZY0nkzNxh9YvvHGFdy8WZuT+ggsRIUPTfov/0ULjL8Ew/DrCXhe/BHXtHQ7enspssInR0ez\n",
       "PQlptcz0rMzgYNxTdPx4QxhO1tkpYWTExpYtBQA74A/+PcSve3aokaaVueOTUJmjVaXnrVtVvP76\n",
       "REoJKol6Pf370aMzy0toB6IOK+nWZh4mSmmKNDAVrXb3v+RJWMJ0wc9wuq6LUqnUdhXlyexjs9lE\n",
       "uVye0rM5nRniul6cfCUAsmnGKgIzgiBZuZAgRF4EKVjHCMnFsnv9YmBGVx560YopKAFA4+v/x5Tb\n",
       "ngQ/qcQIQzuouWJylSQSNpdL4CbsfpPqaATrM6JgZ8qOA1XPhE0Vn0QFXg+ZI1p87oaX7wRVNVBZ\n",
       "zSyYFxbWo61DQvlnxDULcM0C5NOvtdxmKkjaVxFhIISEksCThZSy/c2lfPp8g0pyy2Uh4JYgCXyx\n",
       "lUqlAlVVUSgUphz/OZmx5j0UlmUhl8thYCB7ECnL8Zf04EEbt98eDfqWL89qH8G2bdEIdNu2HOr1\n",
       "aF8nTpRhGMkHiC8I4sGfieYxDt+jUEp8X0LrCssd8Lysc0zOQHOxmnV/gPbZz86eNyELzPj89Kdq\n",
       "kOtDUK9TyLKXSgSv1dKGc/ly8flJEsXFi9napsnrcuSIjY0bo85jxQoZV67E2QelBNu2pTv74WHf\n",
       "m7NqVQ5RxWx+/7xHgSFqWyNRjOjMGQXbtkno68vWYGfJ2mfPtu5MhobS1+Do0THBmvOP6SonibDk\n",
       "SVjCTMHCIQ3DaDsfqxUY8c3n89A0DQ01/XzaamRP7IwCa05Q3MsOwo3YfhzFCHMSeBSe+RaASPYU\n",
       "8PX5iSyDBASBVfslbQzAWS4DUVUQTYfRFZ0HpRRaEFLjNZ2w7sJsgRCCV84V0HQjYlN3teAvV8ws\n",
       "gyCEvwcDfzdQnHMhpwhCg7beR5NqMYLBPm//xX8DpV4qZEsEviq2k+uAp+nwVCP0IhCOHCTlbz1F\n",
       "i6leuboFx5h/m8d7iJl4BSEkrKdUr9cnzUG7FcKNltSN5gmMHHieN2vGOQnmPk56KLLkTwHxLK5h\n",
       "RIZKUbJfgNHR6LfOzkTp+LqHnTuTyhM93Ocy0iUwWHx+EVEIEQCBkkMczRbrZBs0Nh77p3/qn2T/\n",
       "s4NDh4DhYRm1GoFhuAAUSFL63gwPp7fVdfE9XL+eolWdo5GR5P0lWLMm6nTWrxe7oavV+LO5cqWK\n",
       "c+f8vIHLl/OICB7vRbCR9iSw46dJIaUSenuzYxpvv13FkSOV4Dw89PZm38srVxx0dcUHAseOjcPz\n",
       "vDk11NNxfbernMRIA79/27bbnnFcwhKScBwnfIaMNgZ7DFmTUywko1AoQFVVjJw/BQBoBEnLNCG3\n",
       "6QlimB3FDAkC+zvpeUiCdyApgdrhhyEliQLzIEhmzl90I/IqACCKGi8GxtruuKGaj6RF9VXC7WZo\n",
       "ZzTZg0y8MB8hiaqbLQfLw6VR2x0u5KjuGbHB/2Rota7MXS85Z8YWIDtUKGyjbsHVzIggaNH+nEAi\n",
       "l8oqHC6n5e1OkmWiJbzKIRMsERGGW4IgYMmTMG9gBGGmFQCzjHWz2QzlPJMeinxQiCYAACAASURB\n",
       "VFbyp1evpmdEDh2ysXOnb5BKpewZk+PHG1i7lq2XHqnmcrwh1xCvXSBSqmGdlo6IJCRrIyTRhDj3\n",
       "gIFV/E1+x0gCwfh4Az/+8dkWx5gdfOUrcpD4K0FRfIZimvF72dHh4coV/96pKsXddzu45x4bsuxg\n",
       "1y7gne8E9uyJzlWUv8CgKMCFC+n7cuSIjULBP4ZhiElgX18dHR2RAdi4MbqX586tDT4ln2NRW9gM\n",
       "fwlpdSrg5s1sEqoocYKzdm2rQQ3Bhg159PRouO++bjz4YA927erAhQvZCdELAa2Uk9iAzrZtHD9+\n",
       "HM8++2xY2C0LH//4x7Fy5Urs2bMnc51PfepT2Lp1K/bu3YtDhw5lrreEWwtMxUjTtBkrGDGPdb1e\n",
       "R0dHh1DFpaHGB4pNJe1BsAVJygDgcAnOdc0fKPLehJoaDR6VziKUnm7hwD4kBlp8gC3paVtCNA0k\n",
       "N3m4lGzqcBtN5P7+i6nfZjvExKMSbE+G7clQSJSvkFqP6//qXntkgqHhabHt2F+HyrA5kiGSu5QS\n",
       "NSfkvfeEn/lQI1YMz9Hz8LTs/pwvmmfrc+89mO794glDLpcLCQMADA0N4Uc/+pFQhGYx2mdfayt7\n",
       "WQi4JUiCZVlhifuZQCRfV61WQ3evyEORRRJM05ePFLfXNw4XL7YeZG3alIOqxvMRGC5e5AeoXYlf\n",
       "ky9QBfFZ6R4QUobvcWj1IE4E+2oVq5odcgTI8DyKxx8/BmBu2f9LL0mQJAJCgHLZv76Ok1Q28juB\n",
       "u+/20NPj4eBBCW+8IePsWaCvD9i/Hzh2jGLXLor16wFNyyaA69dLaDbTRrBSAfbs8a/JxIT4/ts2\n",
       "cPvtkZHmk5s9jxVES97D5LE8RMRBdJwS3nzTwfbtafKwY4eGY8eSqlrZ96azU8Hq1RbGxxs4cOA6\n",
       "XnnlGvbvv7ZgQo7aRTIJmlUKvXbtGr72ta/h1Vdfxbve9S782Z/9GX7xi1+ktv/Yxz6G559/PnP/\n",
       "zz77LE6fPo2BgQE8+eST+OQnPzmXp7OEBQRCCDo7O6dVCZjvdxhBaDabQkU+fsa3rmao3Cm5GBHI\n",
       "gs15FmxZh8MRBbW7E2p3Z+hBkAt5yJ3xfoAPjZHyhbZCZRAQi4573pH6iQZy4GohH8t5mCl+fCQP\n",
       "14uuW8NVM5WNGq6KmqOj6uqou7rQw1D3dHhBP1dzDdhe3MY2qOYvAUFgf0UF3GqugduPfg9AkLch\n",
       "y77UrOj8ZRme4ucj2GbnpAXxkopWduBFSIWXEQmOZsEOltlOXJ4JeMIAADdv3sS3vvUtHDhwAB/5\n",
       "yEfwj//4j6j7lWQXpX1eUjeaJ0iSFEpizaYO78TEBFzXRbFYhKqK3YNZOQm9vZKwMjoAHDzYxL59\n",
       "Om7ezI53B4CREYpt28xYPgLDxYs19PaymSKeJHhID9yT6kUElGrQ9Va3n/cy5CAeiALpkKPIKKiq\n",
       "38ENDNxEudwibmeGeO45gtFRn5Dk89G1qlbj59fZ6eGBB1wcPAhcueK3U9c9DA3F99fXR3DjBqCq\n",
       "2fdn+fJs43flCoUkAWfPZkuLsoRqVSUYGGCqRp1IJ4gztKqPIOqc/evd2Zl+bi0r/Txdviw+n127\n",
       "cpBlB9euNVNKT2+9Nbbgwo2mAuZpePe7343nnnsOd911Fz73uc/BcRx897vfTa3/0EMPoasrScgj\n",
       "PPPMM/joRz8KALjvvvswNjaGq1evzln7l7CwMJM+iCVjVioV2Lbddk5dXbXgBoOJupoXhwq1Abad\n",
       "I8hPYGD5CH5egdiLAADIWf4sGVt0AzCt+O88+CrrrgvPdmJyoDNFTvf3b3tBLkGgbFR1omPUXS3M\n",
       "U2CiD/xv7aDu6SERyKqzAABNT4XNhT3RhrhGDdz42CJVBC2ArRdidTIcxUhL3/J1NLj9NLV8qubG\n",
       "QgR7p/bs2YMf/OAHeOCBB/C+970P3/nOd1Cp+P3nYrTPniS3XBYCbgmSwDBTksC2bzabKJVKUFW1\n",
       "pYdiZMTDjRvi43V3C78G4CevppVx0jh+vIHVq7NjFzdsYPJ0/ItRQetEZAYTqtrqWk2gvcdDNKhl\n",
       "Uqj+/sfHm/jylw+2sa/p4fHHJQASikUPExN+h+knjUfttywKVfXw6qvxQef69RSifNZqFTh3Drj/\n",
       "fvH1l+VsL8PZsy4efDCHiYnsdY4fb8AwJGzfbqJcZuttgTj3IF3vgZEEv8ZF8h5ERPHUqbgne8MG\n",
       "Bb/8ZTnVnkuXXHR3x8/1rrvy6O8vYWTExvBwmiQuNk9CEkkSIkkS3vve9+ILX/gC/uZv/mbK+xsa\n",
       "GkJvb2/4/7p163Dp0qVZaesSFj6mSxLYNuVyGZ7nZRZdqyvtqxs1FJagnENDzaGpGMGSDkexE16H\n",
       "VS89ld5hYESkIpcLp6iAlRhgGtlViaFqcbIAQOvsgN5dhFbMgyiJfusfv5S9r2mi7rQ38Epe/aqT\n",
       "kEl1DNheQM7azGeYKRzNiiUti7wIWdK3LL7d1iy4QbG9rCT32cJcKBARQlCv11EsFvEHf/AHePbZ\n",
       "Z9HT0zP5hlig9nmKEqiEkL8jhFwlhBwT7468mxAyTgg5FCyPzbSJSyQhAZYslhVexKNV0rKqtk4I\n",
       "JkRBT8/M3El+lWMF8aJnyRl7kWcBAEpoNk2kw1gAfwCaNDZZrEZCepCqJH4Hnn02npcwW14fzwP2\n",
       "7/ePN86VgtD16PqbJsVtt7m4ejV9vJ4e8T00DIrBQYoDB1zcfXeaKGSFEjFMFnZQqVDs3Gmhs5Nf\n",
       "bzl8MiBKUBYnLWuaqB3jYDkKY2PArl3R/Vm9OltR67bboudk714LR46MhUTv8mUnVXmZJS/PlRzd\n",
       "fNRh4I81F/u5VRLsljC3qNV8r+NkRdcacg41OT4wr3OKR/znRiJPgdVWqKv5FDEI2yGlZ5VJgrCQ\n",
       "joRoBkv2txJ9BCMMpoDcyHKqBoOSM8OCbbTRhFfPmGGfAn54sABZoinvQM3mko6d9jwFNSebDLD8\n",
       "ArYv5n1otvBC8N4EFnYQqzFhWZBME7KVExahczmS4KoGXK6Y2mTJ6owoiJJjlSunZs0ezoX9q9Vq\n",
       "UxIG4LHQ7LNH5JaLAN8G8GuT7PYlSumdwfL5mbbxliAJ/I2e7sPtui5c1w1ncrLCi3i0SlpOFtFK\n",
       "otFwsXNn65khQoCxsez9nDhRgaIkXRbJWypSOsL/z96bx9px3WeC36nt7u897hQXkaJIibK1WxRF\n",
       "yWkF6KQVyRMhkw4QG41MNqSVjBdgBkgCDCboJO1Jx8hkkp6Wk1GccRKjM44TWz1WAremYbdsyyQl\n",
       "khIpkuK+ipu48y231rPMH6dO1amqU/ctfLQf2e8DLt59dWs5tf3O7/utAERKEvqG30xlUTsohrjo\n",
       "KL+wWjOYNOnu8OFrOHu2mltxs/jrvyaIIhuOw6An76oQLdsWeOABhv37YWx6V1dhas0a6WEQguD9\n",
       "9xk2bCheV5NlXQelokQAqmg0HFy6pCbCoXT8DqaTtJw3jsuhErcVWq20PvliG7t21XdKbqaNjO69\n",
       "t4Vjx8bBmH5tZPKyjg8/DHHpUlDogjxZ2bq5BJ2ERFGERuPmLIIrV67EmTNnsv/Pnj2LlStXDthi\n",
       "Hncapmv84JyDMQZCCLrd7oyVFj1MqEwASE29/LJnwhiqVDcerakXukMypEih0cwJgvqrL3M9oG0O\n",
       "cRGMZVV8Jmu+NhU0PYGEWYipDW64LQGtn+fLV40Lq0AU9DAkxquyPi+z6iFibk4g0r9UWHjw3D+C\n",
       "OG6hAhQA2IaeGNx2ETWHwWwP3HbBnEZGFFRlq8RpZeFDetlbajcKye3lvITI7WahR7HXzfrNJEky\n",
       "J+R5WVa3WoMKrpgxF+WzINbAT2V9Id4EMFmTolllPncESVCYqYBV4UWWZaHRaEw5AXoQSbh8ebAS\n",
       "eelShMOHE7hu/ZjXrWtg164JLFtmVl58n2F4eKm2RICQssJuygVgUCUzHcckrE2kgqC+FGq5k3R+\n",
       "/VRYZZJw/Lt/t23WFckvflElKXPo7wZPE9Weeorh3XctrF4tKqVHAaDfN5/TggX5+IKAIAgIVAn9\n",
       "pUsJrl6tv/cAcPFihI0bB1s7zp5lOH5ckbR7Ib0DxfOQqEtaDpEk5WeDgtKi1enAAQ7HAe6/3wGl\n",
       "g8vudrs2wjBGv189v16vej5HjvhZMzsAWdm62eqC/MNCv9+/6UZqL774Ir7yFRmq8dZbb2FkZATL\n",
       "li2bjeHN4zbCVJ93VVabEALP86Y1f4X25Aq+IgvKoxDb1fc3sRoILfNzb40shDU8AjK8oFrdqNmS\n",
       "yn4ZhspGZYjUs9B85FH5v0F7Vxb1xrf+r5tSVB1bwCp5EaIkPxfH0nLYEg8hlcq8T71aD4NOCGga\n",
       "cpRoy9R2Ji1C79WQcBtkPHd/W2muhmWoAhU/9mz2nWshRzpRyPZT29dIVrZSlbGUNyErqavNO51O\n",
       "B47jgFI6Y8Jwq+T+TD0Jc1E+C2IP/MxklwCeJoS8Rwj5FiHkIzc7xrmRPj1LmK4VR1UvUoli0aCi\n",
       "+AYEgcCCBaRSatK2gTNn6vfVbBKcPh2Bc+Cpp7p46y2zdfeuuxwcP06wYUMXFy+a9xdFesWJPkSl\n",
       "goJJVI1DhSBR2gFwCdJTAHQ6Afr9OgtOG1VvQj89huzODEhCYFlWGoqC7Lf/8l8+gGVZSJIk89ro\n",
       "pWunS/L27wdOnrThugxJUt7WwmOPUWzdKs9/2TIBzYiQ4fx5M0koW+PPngU2bXKwcyfFihUWLl2q\n",
       "H1ejQXDqVAI6SfzrXXd5GB4ewv79qtGdC3P4lzo39Zu6B31Uw8DGoO6lwvg48LGPNXHgQL0XAQCO\n",
       "HWN49NEmdu405xpUrzGwf/8ofvInV8G27SzESgiReeaiKALnHLZtw3Ec2LadxW5PhlsdbqTv3/f9\n",
       "rIJGHT71qU/he9/7Hq5cuYLVq1fj937v95Ak0hjw0ksv4YUXXsC3vvUtrF+/Hp1OB3/1V391y8Y+\n",
       "j7mHqT7XQF4Yo9FoZJ6EQTh+5iqa2iocNkKrAzctZ81gAylRYJYLmxeNVDpREILAFfXltwt5BwrD\n",
       "C4H+uPQgOA7gNgBWqs6XNvMCZxCNFkgUyL9xCNFog8Rh0QNhm9UPwRiI64DHMZCWKwakBdl13UyG\n",
       "TBdhYqPpSgWacguESJIQMxuUmw2DQeKh5RavVcwdeJYcExUWnLR0qk4AACBkDpq22fueGDwPIgpB\n",
       "nMkjGKjTgkNleBq1PDg8RmI3jX2BIrcNjwaInDZcVtUhQrcLS1S3I4TAdd2smz2lFJRSRFGUyfLJ\n",
       "Skar/cwGdFkdBIHRk3A7yudb0J/iXQCrhRA+IeR5AP8vgPtuZof/zZIExhgmJiZg23aWKBbH8bRI\n",
       "xre/nSAIBH7sx1xs25ZkVvPVqy2cOlW/3Zo1Dg7LvjiYmKh/SFQ1mbHaKB0LExNaDKMVgxfKseUe\n",
       "gyISFPMU8sdA1iOuC7sYAnAZKhSJkAkIoQiFB91rwbl+XhYAhosXfbzxxlk899w6BEGQeWxMiuRU\n",
       "vDm/+7sWKLUAJGg2beQhrBzNpsChQ/kYms0qGRga4qgrbmBKOt65U+CJJ9za5msK99zj4NAhgZMn\n",
       "KR54oIWDB81Vjghh6PU8yOutQo3KHigGSQ5UXoKFvM/F1AXM8LCF69cHj/vxx9sYG7ta+/uFC9Xt\n",
       "9+0brSxTXZBVqJkKqWCMZfWuFamY6r2+1fB9f1JPwle/+tVJ9/Pyyy/P1pDmcRtiKnMQpRTj4+No\n",
       "tVpoNpvo9/tTmndC0UKTFGVJAq9AFGwwULiwUzli8h4AQEI8MDjZthQuEuHCIalSq4c6KC9CbwQI\n",
       "8vBU0R0CSeT2ot0FSZV53uqCpEQBAISnVdZpdkBYkn3XIRgr5D/YQ0MAF2i1WtlcnSQJwjDM5Msg\n",
       "wvD/bO9huCsgBNDUinQwQeCk3oUgcWBb8rtd0ychSDw0nKKyT7USqkrh58KCRThi7qBh53I8Ym7h\n",
       "/wLUtSWW7CMRxxA0X9fqdMD7/YL3gNoeyIAmqFGpP4ZKVk/sBjix4fAY1HJBLQ+2SO+ZZdd6IGaL\n",
       "MMwWwjA0koTbUT6X8w627diFbTtmXuRFCDGuff/PhJA/I4QsFEJcm+k+7wiSoB7OqZKEKIrg+z5a\n",
       "rRYajcaMHu4kETh5koNSgjffpHj0URtHjzL0+8CiRXwgSVi4MD/e/v0x7r23gePHqyxf9VHYvz/A\n",
       "okWuocNvF7qnoN22MaEVrrGsPrix+Ut52QIA1wDYSJJBcaBS2ZckYRxC6PvxIJu4KeGlPAt2qsAH\n",
       "EAL4oz/ageeeW1dodAWYFUk1CZgmgkuXgHfftdFqMQSBiyjSf2fo9QQuX9ZcwKFAWam++26O/fvN\n",
       "Z3runFlgnjrFsX794HyThQvzezIy4qFaglbizJkwrax0L+S1Eih6fgRy4qULEwbpTSgTwNiwTOLa\n",
       "JCJiyRIHBw+O46GHGpB5LKbxxuh0HPT7+flLL8hgWJaV3WtV6lGfaCzLKpAGda9/2J6Emw03msc8\n",
       "JkOSJJiYmEC73Z5RDkwoWvDI5B7vusTkynrwYGkK5917vlFcoZzYamjsVmjs1WgVvltRkBGOMlko\n",
       "7HZkWBIEQsD6PkRCIeI4C71RhgfP88A5B6UUcRxnnmgTYTC1Gigar6owiRsOgoC6aKQV7ZggYMKG\n",
       "a7GMIDglghExFwQCYepd0Ds9q3U3Xf0nuaDRBEplUEmjKWcrwWF1Oggbw/CSPngaIhS4PbgsQmI3\n",
       "stj1yGkbvQKx3YTLooJCGjlt2DwlCMRGYjVAbJHlr9RJwukQhlsVbhSG4YwTl+caynkHWzY/iS2b\n",
       "n8z+/z+++Mq09kcIWQbgkhBCEEKeBEBuhiAAd1hOwmRQZeaCIECv10Oz2SwIlek82CdOcFBNV9yz\n",
       "h2PFCqDbxaSWZlmeM8fSpVWBvnSpg/PnpeDgHLj/flN1oWJ1iCAoSsV2u2ptaDYjVEkCgVQ6J2uu\n",
       "BkgyUG7OBkhLuMm6wWDbgOPIR+3gwWsYHa1OcqbOuIQQJEmSJcbqMe6/+ZvA1at22tCMQQj9PrIC\n",
       "QQCA8+erIxsaMltjFi4UtaVtr1wBOp3B14hp9a337k3Q6VRfs9WrPZw/n+DDDxM4zl3Ir59aV4CQ\n",
       "EObypwzmErXjhnWBe+4B9uyJ8cAD9YL17rttjI0xRNEgkUCwdm0xh+Xo0XEEwWDSVNhDSg5VQzOV\n",
       "z2C618Cti2stY2JiYp4kzOOmMWgOieM4e850gjBdhSoSxfc40gpH0DQ/jIui/ItTg07E5bpMsw8m\n",
       "hiZfAACrKktEqyNDjVLwdj4HcYPnoLA8JRzCdiHSsJqsaZsGu9ctNBNz3/hK4RrVdeT1fR9hGIIx\n",
       "hv/7jS50B2WYkErfoiCZXsy3XhEJqIYMxcxGOCARGpAkJWY2/MSF5ZtDBLLO1KWE86BhbmpaVxo3\n",
       "tpsFT1JCijkqAMCIY8xJuXrxQv1JqHGmhEHJ8XIOAzfVFp8hdINOnSfhdgQn1sBPGYSQrwLYBuB+\n",
       "QsgZQsivEEJeIoS8lK7ycwD2EUL2APhTAJ+82THeUSRhkLCllGI0rZE5PDxsbHU/HWFtSlo+epRg\n",
       "3brJL+n4eFGp2rcvQbtdFMhr1xaV8IkJ0wuXC2jbDsFKMZGMVcdi23VWqAWYWvhKA+Y+DK5he/l/\n",
       "v08zJX5iIsEf/uH2gUcod8btdDrwPA9CCERRhAsX+vj2twmaTQ7GXPR6+j1LCp4aAOj1OC4YZJ6o\n",
       "qfqxalX9M9BqAd/9boQNG+ongwsX8hjWfl/g4YerQnj1as19TFuQr6I+niD11JiSmFn6KcP87FEq\n",
       "7/nChWYv0aOPtvDOO9JLefr0YIV/eLioADAmcODA5N6EOgy614C08N+qJOh5T8I8Zht1c0gURej3\n",
       "++h2u/AMVXum+1xHqdLPtXeewpW5CRpi0cgIQqx5fhUxYCmZqCUKBvBGC6I0fwq3WfA6KE+BIgi8\n",
       "0QJPyYPueSAbHzEew0rfRUGTipW9sJ5GGFqtFizLktVv0gSOhMq/XDVQS4lBmSAEiY1+4sKPncKn\n",
       "DJ0o6HkMMTMTjog6hb8VKINSM1V6DUnLOuqqWKnvodWpkAMAiCxDCVXLyYjDzcJEGDjnSJJk1qsk\n",
       "1eUk3I6YQXWjTwkhVgghPCHEaiHEl4UQrwghXkl//6IQ4kEhxKNCiKeFEG/d7BjvCJIwKNxICIEw\n",
       "DLMY0E5ndtqO11U22rtXYGho8Mtw7lxR6E1MCDz0UPGhbzSK+zh4MMbQUFnQ5CSh06nGsgdBdTLy\n",
       "/Tp2H8OseOpQVXVM6xFUvQvapMEJul0XQgCvvXZ8WoRMuZobjQba7Tb+zb9pY3zcypqgqYRa6aFR\n",
       "cfs57r6bFzwNCqOj5mvR69VbQNasscAYQaNhFvpDQxY++KCY6DY6Wj12kqhruAK690AigrmLsvpN\n",
       "oNz7wnUTmEONoixh2+RN8TyCy5fzcKjLlzmWL6+fOJhhMty/f/aaqulhBQAKE47qYRKGIZIkuSlL\n",
       "VfnZmycJ87hZ1M0r6rnt9XrG0trTmY/0CjQ6QSh7F4Dca1CGThZoWt+fCif7jpFFECMLIYYXQQwt\n",
       "lAnGlg3hOLKZVym5VrjyONxr5l4EZYBRoUbpX9bqZh1/heNmxEFuor3PjOVVfkxdnQ3QCQPVpqgo\n",
       "Gazm+HG9R6GfqHDY4j3SCULCbDBRPEZM7YwYxFoBi6iGTEwVMpdA5hOUK1rFlcqGVUQknzdoiRgK\n",
       "EISknX1mCkUYHMfJ/jLGbqqs6lQSl29HzKBPwg8ddwRJUCgrnqrNfRRFGBoamjT/YDqK66FD9Qr1\n",
       "D34QYfNm8wu7eLGFK1eq1trr14vjunq1aPFPEuAjH9HDi1rQS48yZqo6VG3AJQyTiUSIesVUYRRA\n",
       "A5ZVl8piCmOSsG0LExMJWi0Hly/7OHiwPkF2EK5cEXj1VQfNpoUoktWAwlC+TI0GheMQXL1afKyH\n",
       "h8339MwZ83LG6pVP1fV9/36GJ56oXq977qlemwMHkoJnyLKAw4eVYr4MxdQgqv1vKodKQMg1lMvO\n",
       "ep4570EPITt5kmHlyuJ2mza1cO5ckdSsXl0vgC9frj7377136zovqwlHhaG1Wi3Ytg3GGHzfz97v\n",
       "mZbVVfJgNkqgzmMe+hwihEAQBAjDEENDQ0bvdXmbOoSG3LI6638kGlPyDBjXGSl2rxWEgHeGK54D\n",
       "1hnJyYFbHRtrpJ4E1zyncMcDd5uFDsLygObrMLznn4zLTfiL73RhW9VoqTAlC0FsgTIgohb6AwiC\n",
       "Qtmj4Mf5mMshSEC91yDzKjAbz4x+U3pempqsbZbkbqsDtDq49uhPgVkOGHEQW8XQMkUUFEFQ91R5\n",
       "kGLRqJBFKlyEPPXwpCpgKFqI0CyQ0JuFEKIQRtzpdOC67k0Thpn2SZiLECADP3MBdwxJUOXn1AOn\n",
       "wosIIRgaGpq0A67ax9TDjcxhGcuXS8/AgQMUy5dXj7lqlXkcR44wbNggX+ZGg+DYsWqTs2L40FDp\n",
       "t7JgMlVTMBEHILdMD8HcVwFwHApFAjive0Hrk55lfX6CKGKgVOAP//Dt2nUH4Td+QxImnsaDNpsM\n",
       "gIVuN4Hvu1i+vKrE6jkCCitWMIzXVAS9dq2eAOqdOy9dqubxdc09grBqVS6o169vYmxMPT8q10Qm\n",
       "ecu/6h5RVO8XgxA22u3i8+H7pudWoEjcCNasycexaJGNPXuqcbGDGgmePBmh2SyKjX37JuvtMn2Y\n",
       "kpb1ZHc16ZhyV2ZCGlSX9XnMYzbAOc/C5KY6/0yGoMYzoEKGTERiKqDCQSIc3PfB68UftHAH3upV\n",
       "FXrkBEF5BGgjf4e4J63RzGuBuw0wL7dOC9s1dvuVG0ojjaAJSLMtw40GhByZkFCByDAFcg442mEd\n",
       "S2TVjSrrarK3bwg9KiOkjrG0qRF6qCshssoRpbL3RKtTCDtiJaNc2YOQwCt6lQzPSSLcLEStDLXc\n",
       "5G2fTSgv8SDCMBXv8J2UuDzvSfgRIQiCGYcXTaZYqPClunCj5cvl9uPjwMqVVaW516sfi2qatnat\n",
       "mybkFrF/f4B2Wz04eSKzbTOE4VT6I9Qpv+OQ1mtSu067HWn7bNWsV5+XoL5zDnS7HrZunTwxqow9\n",
       "ezi+/W0HjkMQpxYgSgVsmyMM5XFWrqwKmesGHdZEJgDAsgTOnKknCdeu5TPPBx9wPPlkkTCFoXnb\n",
       "gwfzxnlLl6p7OIxciaeQxE4XDOZEcKAB3x9CXoUoNHqIul0fZeLW7+fPxYYNnrGZXF3SNiAnkkce\n",
       "WYSnn16MJ59cgE2bFqLdtsFN7UxvMeryGYDJm7qVSYiqdjaPedwM9BwX1X9nshK/kxmn3j+dVxsL\n",
       "WLOgEJaJQxYylEIRh4h7iPjNdTDmzU4h1IimSctlTwLz6t8jbnug3jQ9dkMjlRCnOvyHb7Xh2IBX\n",
       "alIaxgQDHMSZl8GfJJlZhRn5sYMkNdpNNQE6TNerVFhqla5HqRRpaHXAiJZoDi9LUA+EJF6JcDMv\n",
       "AiH1z1IiXETpM0GFU0s8bzXqCIPKQSsThnK40WQ9bW4XCEIGfuYC7iiSoAStst5Mt8TcZGRChS+d\n",
       "PRsaFU8A6HbzF/SddxI89VTxJcxj0avYuzdGo0GwZIlZIAaBwIMPKg9C7kkgxEdRGWcwhw7VTRK6\n",
       "yWUY1YZeIcbGdEFYd50G5yUoa9qNGxH6/QTf/a6hu9kA/Ot/bYExAcvKr49tA7adNy6L4+LYLIvj\n",
       "gw+q462rQLV6tUBQE7lj28CpU0Xz1PHjAk2ty1FdE72rVwUeeUROBnni+krkr6AqLaujPKsJSG9Q\n",
       "M92ukW5Xamqk9siqk8X771O02wRr17p4+21zwvHx40nFWwBIb8imTT1YFrBt22Xs2HENO3dexRtv\n",
       "XMTx44MbtU0XMw0d0nNX1OSjiH2/36/NZ1BJpfOYx0yhK/uc86z/zs0gMAijgBZle8Cqsj7kjQJB\n",
       "AGRoQyQ8hLyBmLsI2YD50ZQ0OcCTQBs9MHf6JDvxOkg2/QQAwB4egTU0nwGxyQAAIABJREFULLs8\n",
       "99L5jSZAHAGNJhrv/uOk+yNEhnMmVIAQZN6EhtYnISzNEf0o9cRoREGRBV0MDfImJKUiIUHiIEgc\n",
       "hNRGSG1EVLP0U0vmeJSqQFXIgoaItECJCwanQgSN66ekMOSN7J4DyO45E3bB88RhIeBNBKwp/84C\n",
       "eZhqCetBhEFVutPngzuqupGwB37mAu4YkkApxVjadazb7c7IvTvV6kgXLtSz2HLFnOPHObrd/EW5\n",
       "dq2+0+XYmMCjj3YHEglCHEhl0gNwA54XpNVrQvR6fchwIdUFWUfVqizBUSQUDTSbZT+tSfGtIxzl\n",
       "5cTwnaDXa+Df//t3avZRxZe+RHHokA3H4ZkXAQCiSCCO82OePVs87zVrROZl0EFrivgsWVJ/7Vev\n",
       "Jmm/hRwXL/IsN2HZMhuXLtVXB6LUQqNBcPiwUuoXar/KsKnB4CgSgjakN8H0rAfGxHVKCTZubGLB\n",
       "AlEX/gvGgHXrihPWU08N4+rVADt3XocwTFL79s1+XsLNFhjQSUOn00G73c7yGcIwzEj/N77xjSkl\n",
       "Lr/++uvYuHEjNmzYgC984QuV37/73e9ieHgYjz32GB577DF8/vOfv6nxz+P2Aucc42kMY7vdnvLz\n",
       "W1dwQ4XOAajEJwe0CaopEUn6Tg5U/Gvgl7YpWzCFk4cGJa1hmU/gDAgt9TqgblsSgPQ79TpgbhNJ\n",
       "6kVgtofYk6ScWzZsQ5dn0imW/RbO4HP73/9TE7ZNkNCi7GA8JwZ+qcRzENfLXNNvQWKDpp6AILYr\n",
       "5MCP7SwR2mTRj6mNf8EmJzvQjBgcFpiwC2Vrfd5KvQdO5kEoE4LKsbVGq4kmw6mwjUTz2IeT9+OY\n",
       "bZQJg+qLkSQJKKV4/fXXEUWRMdzodpTPt0NOwh3RTA3IXVC+b7aqTgWDytf5vp81wDl8uD4+cmys\n",
       "qGRevszxYz/WxJtvBnAc4OTJwbGVUURw4UL9ORw8GMK2u6mVeASynHwEoJPG2DMA11G16Icwt0gZ\n",
       "R9nrUFSEA8O+ANnI7QaqXoVBlXHy/d64EWPv3iu16+q4dInj3/5bBwBDt+vgRqaPUugK8pIlHJcv\n",
       "F4X2kiUcJ0+a9mnWkD2v3oK9ZAmMTfIOHOBotQjuvtuu7eAMAO+9F2PLlg62bbsOGZqlrCEM1VfR\n",
       "lLRsIhJNmJu1BZD3qIput4Hvf39w2VLZBE5a5rZsGca2bXmiuSnxfu/e6/jZn7174D5/1NCbuqkG\n",
       "QKOjo/jbv/1bbN++Hd/5znfw0z/90/iJn/gJPPvss4VSlYwxfOYzn8G3v/1trFy5Eps2bcKLL76I\n",
       "Bx54oHCMZ599Fq+99toP+9TmMQeQJElGQm+G4CqCQCnF0NAQjl1laDr1xiUACJmHpi3XUcqgUlJj\n",
       "5sGzYyTMhVvq/KsrjgBAuwtkJSJCAGLBSqrzVdwagZP44KWGbXGjBy+amkcxcTuweE0XYs7zTsQq\n",
       "zCiJs1aedWg2rUKychQD3oAopSCy4NiDPZZBbKHlTR4nHyQ2rPR6G9pLVJGGFPFmB1YcQrQ6Wcdq\n",
       "uROrQBQAIBYePDL4OSiszzy4doKIufAsCp5WYIq5CyosuBYDE3a2fK5BEQbHcRCG8jl8/fXX8Q//\n",
       "8A9466238Eu/9Ev4uZ/7OaxYseK2lc/8NrDTz/0RThFDQ0PZpD5b9XjLzddU+FJdPgIAnDtXVaC2\n",
       "b49x990O1qxxkCSDx/bhh8zU1DLD2BjDsmXLkFvsBYpKvg1pYR5HNWzIBJPlewS5OK6zJtgwx8xP\n",
       "npcASDeuEAL/9E/HBo5OCIF/+S8TjI5asG2C0VH9kS2ShLvvro5HV/odR+D++wU2bWJYuhS47z6C\n",
       "cjRA2VOgw3HM9/3aNYHHH2/BUP68dC4E7ba6uauQv34c5lCjanWqKtHTc0UU6sLN0i2iyZ8L35d6\n",
       "wsc+1ikQBEAmL3te8ZjvvTe7ycu3utsyIEnDihUr8Oqrr+ITn/gEfud3fgetVgu///u/XzE27Nix\n",
       "A+vXr8fatWvhui4++clP4pvf/KZx3PP4bxPKY2VZ1rSeg3JFpH6/D8ZYIZ8hoFXjS0g9MC1RlnIp\n",
       "W5TSp3f5jZkUTglzEfPqBJNwG7S7oLBMWDZoo4ukVbXyK7CSR4Fp1Yyo0yr8jd3ci6DALSfzKBR3\n",
       "lMpaLWR4kPfij15tgDKBhBbzjgBJFoBimFHZozAIE2Gpp4LmYQgN5VXDtCS3+s20Th1EuwfR7srQ\n",
       "o04PZz763xV+10ONlDcgYM0C2YuYi1C73wAK95xqpCDhNlgpYXm2EphnU4arohV/+qd/ip/6qZ/C\n",
       "r//6r+Odd97BN74hO4TfrvKZC2vgZy5gboxiFnEzD6UurBljWfhSufna4cNmZXHBAo5r16qKKqUE\n",
       "d93lYvHiyS/33Xd7lVCPMnxf/z1A0QqtKhUthAw7AqohRZhkuQ0ghG0nGOQZ6HZNvxFUQ45yIetq\n",
       "nTSDgOFLX9pTu38A+MVf9HHkSBOeR2HbAiIr2xfBtovX0xSmODYmcM89Alu2cLRaHIcPC4yPc+zc\n",
       "KXDkiECvBzzzDMGyZXL98+frCeD4eL1F6eBBVmmSZ8LEBFJisiRdwlCsaKRg2pepI3YDMo9kQlum\n",
       "EtGrePRRD2+/7WPdusExp2fOcGze3MOuXVWPA2PAPfcUJ/b33rs+5wTwdBBFEX78x38cv/u7v4s3\n",
       "33wTIyNFxejcuXNYvXp19v+qVatw7ty5wjqEEGzbtg2PPPIIXnjhBRw4cOCHMvZ5zA3MdO5R844y\n",
       "SnHOjQnP/WRqoUS6QqgThfI6+noPjn6/NKjiscv5CHEjz4mLGj0kpXyExJUhuRlR0Jp7KbLALTf7\n",
       "boQK3dVi9cn7b9SublsEVmrGjwyFPxwboAyIKYFtoeBFCCILfmghqCEPQWxlDdkAgLL8uwo50smA\n",
       "iShElGTLeSMNWbZsCNuuDaXq83YaamSDChs+ayERDih3MlKoEDEXIZVzr25+AqTin3A7Iw8AsnWz\n",
       "c6QNhMxDyDwEtGEkpj8q6ISDUopPfOIT+Ju/+Rt89rOfBXD7yufbIdzojiEJgxqqTWcfqqvv2NhY\n",
       "ZhkqC/+6Hgl33VWvRL79djJpkzVAGk5OnKAYNN+MjuoKXtHS32qFyJXyBQDGIMlCNW691SoTDB1N\n",
       "MFZXMlXC902WHVXKU4cmXDVLT5IIHD1aH8v+m7/p47vftRCGEaLISUOrANumACxYpRJ6ExPF7Xs9\n",
       "geFhgdOnObZvB8bH5TgWLMjv0+gosHWrwMQE8M/+mcwxqMOZMzXucQA3boiBlasAoNOxsGtXhI98\n",
       "ZBh54zMBMyGojoNUXM0qiRmQxFBd2/px9PtyH3fdNXgC2LixhTNn6novAMPDxXt/5UqECxfq158u\n",
       "brUnobz/yfokTGUsjz/+OM6cOYP33nsPn/3sZ/EzP/MzszLWedxemMkcpAgCAPR6vdrnzS8pdnrJ\n",
       "Td1CbPIWALlUyUNPDOsZjp00uuCWA6Yps2UvAgAkTguJU59USh2zcWLswR+XX0zXjVGIRgsWjWHF\n",
       "1fCnL3yjAdsmhblFIUy9pqbKRkFEEMYEQVQ8Xz+UhKEMP9KJQTHnITveJF6Df9H8bpbfUcn9KCcy\n",
       "Q96nchdtRQ4SbiNJPQhRyWMQVkqiF7dXBEF5ogLqZseb6zA1U7td5TOHNfAzFzA3RjGLuBmSoLZT\n",
       "4UWqBruOMBQ4c6auU+9k5VMnj228fj3BuXMUDz/cq1mjUUocLR6TV+I8F0LmI1ThuoPG08Jkjwfn\n",
       "DThOfnzXVWU86xXQ8q25eHEC3/nOydI6Ar/yKzfwpS8FuHGDaOU9PViWAGMcjiOQlErPnT6d36sH\n",
       "HuC45x6KN9+slpwzJZT1+8D16xxPPOEYPRLLlxOMjtbf3zVrbBw+XKx0VMZ993mgVODy5VWQ5KwY\n",
       "LjUYHFUPjU4aOpDeBB/lbsw5xnD0qCSVowNSEp58soOtW29g1ar6BH1CqhbKnTsvIo5jcM5vO69C\n",
       "GIYDy+qtXLkSZ1TragBnzpzBqlWrCuv0er1sH88//zySJMG1a9duzYDnMWcxkzmIcw5CCLrd7kCF\n",
       "hwsLPvWyEBEmcusw1bwDZWVPKY2ZMpn+T7mVfTdBWA647YBZLqKm9K5xyymEDClQu5HVdo9ViFFK\n",
       "CqLUsxA5qYfB9hBqXgRe7pkwtMBcYakUi/u//Z08H8YEiAXESXVOU6H9oWZPCzXRaddMc7pXQREB\n",
       "1cmZMpIlMCe0er/idFmUFP+SVAcggmfeBN7UjBO8ajAKWaOYpF7qxRAzp3C/1T0OmIso/cTcQUhr\n",
       "qiYm9WFcURRVykdPFbNp6NH3ZZLVt6t8FoIM/MwFzJOEFIyxrDLFoO6YR46wcj5RBssaTAL27Uvw\n",
       "8MP1VhbHAY4dk9bYVqsu46ps7Sy+4FFUHgMB0ILjlMmDQL8/SEGdgDnnoLjvvG9DiCQhyCsvVdet\n",
       "fidIEoEvf3lfds/+/u9vYP36S/j61yk4d5Bb3BkAF5xHAGy4bvEer1zJs67VmzdTHD8uKusojI6a\n",
       "z2toSGDnTo61a52KV2DFCuMmGZYvt3HlisDHPlZvjW615D4vXuyi2DhtKvUDEohCSbRyLgogn426\n",
       "HJLitThwIEG3W339N2xoYs8eySDqO2sDV69WvWnvvz+eNZHyfT8rNzoXCUN5AlPdQevwxBNP4OjR\n",
       "ozh16hTiOMbXvvY1vPjii4V1Ll68mJ3rjh07IITAwoULTbubxzwASHLQ78uwUJPX+vuHzNvVhRGV\n",
       "yYG+3iDrsoLQFHNTuAPXZELo9UDT5OXIEDakiIEiComW6Ey1Mtac2AiddPvhBcDwQkAIiN4wRFsa\n",
       "ywhNsu7N9MS7+F+/DPzef7RhWQQ8LYhBEwHPtbK8PyFyghBouWbBFPuycVHNXYg1QqCTg3JZVR06\n",
       "UbAMJGAqCKmXhhhZqQeh6AGImZ2RADIgFzFhVtYlOuE2/ES7DyI958RDQF0E1MV7F7oIwzCrtDWV\n",
       "Zme3GnEcVxp+3q7ymcEa+JkLuGOqG90MY1WNl1qt1qTVkepCjQBgYqL+BRoaIrh4kdX2QACAdes8\n",
       "HDkilbw9eyIMDdmVaklFkpCgqiiWFfQEQBeUFqtOdDrhAJIg0v0ITJb8HIY2pPVaPy+S/q8TE702\n",
       "hY08xIbgH//xBO6//22MjS2B7w+j3WaQuRZr8z0SgmYzQhDI4wwNkUI/g5UrOc6ds7BlS4zt2+Vj\n",
       "3WqZ7gfH6dN1ZW7l+gcPcmzcaOGDDxjU49BsDr4Oyjtx9ChHo0GMycGXLiWQr1wDhLDUI2Tqj2Cq\n",
       "YlRW/idQ9Rh4aDZthMZJcAz6s8I5wcaNbezalcdoDQ3Z6PejrJHfpUv1z/qJExEaDatASvfuHUWz\n",
       "2cziqymlWRUhy7Jg23b2mUpPkluduFzGoOM5joOXX34Zzz33HBhj+NVf/VU88MADeOWVVwAAL730\n",
       "Er7+9a/jz//8z+E4DtrtNv7u7/7uhzX0ecwhTNVQpUqmOo4zsCKSUuQaTlHBZKKatKwjpB4IEQiY\n",
       "W1AcdW8CEwSulb/ncXsBBAi45cKLJyr7jN0O7LqqRMiJAIFAbDfRoD4ipw2PhZmXIUk9DjZPQC0X\n",
       "1PJgCSYJggbCGIRjgbe6WZgRd5sgnMH1bFjp9XKc9K+rk35ZoMEtNVULQgHHnp5cCSICTzM4FfIR\n",
       "Sl6EOCEACCxLZOQgHxMBc5qwLBt21IcJBa+COh6XJVDLNjtFFGIm/1pa5+iIyudBgKDhUASJg4bN\n",
       "smZwgOzl4KSGTcYtRMyGTUQl2qzdboNzDkopgiAoVB262T4gM0X5uLerfJ6ut4AQ8mUAnwBwSQjx\n",
       "UM06/yeA5yEVs18SQuy+mTHeMSRBYTqeBFVqTnXG1Ett1WEQSbh4sf63NWsc7NsH7N+f4JFHWnjv\n",
       "vWr89uLFNo4ckd/DUOBjH+th69ZyzH4uRJrNGGGoh/YEKCrrgIxb7wDoodu9gYkJqVj6fgBzSVQg\n",
       "VygdANdQ3xMBiGMO82M0iCToIAA4RkeDVLkehe8LAMugK8pDQxZGR/PjlK3crivwzDMUW7fqidHV\n",
       "o61eLaB5JQvQreOHDgk89piDffsoKAV8f1DxPeDyZXmuly4JPP10B9u2FSfYkRELx48nkA3UHAhB\n",
       "IcOyElTvmelYZcJTtUi57kShZ0QOAZPTUE8iB4ANG1y8805OJo8fj9Hp2Oj3q+PhHFi7toPDh/P1\n",
       "9+yRrltCCAghhWpjapJR4Ug6YbAs64dOCHQSokjNZHj++efx/PPPF5a99NJL2fdPf/rT+PSnPz27\n",
       "A53HbYPp5MUpz3Wj0UCj0UAcT17aMqQuPDt/FyNmo5H+nzALri1lREBd2AO67poQdRZVlzV64MSG\n",
       "w4oGithpwaNSuAZuDw6XY0/swXlOCfHgijgjCwBAral1gRaOC8ISWFQeyyIExAIY4wAsuK4FmggA\n",
       "PCUBuTwJIgG3RtPxwzzcSImgluE0goig1RAZQfCc/LtKgI4TswyLE0kyPrHgB5loZ40OrDgAa3ay\n",
       "MrOs2QHh9UQwYi4aaQlbn3pwLYaYObBJet8TJyu/WiCFVIWa2eCcwLV55k0AJAlJmFUgGTpUZ3vV\n",
       "3X6qhOFWhRvV7fN2lM8zyAH5KwD/AcBXTD8SQl4AsF4IsYEQshnAnwN46mbGODf8GbOIqZIEVb1I\n",
       "dcbUw4sGbV9X2WhoqL72PgAMD+ffOTdb8Ms5C9WuzjJ0SKFa098UapLv0/e7UIq7EPXCObe+EAwO\n",
       "OeoDaKPTMT1GUxP+SpgHwUncuMHBmIDn2SAkr54xPOxjdDRXpJcv57hwoXhMzxPYurW47OzZ6v24\n",
       "6y7zPXJdmeCsY/dujieflMc9d67eetZqkZQASJw4IeB5RUG2fn0jzcdYAOk5UOdjGs9gQiLvSTVs\n",
       "TQgHnLeRV7VSGIPpfpw4kR9ny5ZOgSBIEKxfX9+FeGSk6MU6fz7ApUtVkq0mmXInZM555soud0Ke\n",
       "a56EecxjtqAIQrPZRKvVmpZhSyl3KichYValodd08VHxXuF/UcoFiNwOBLFBbQ8sNc7QUk5CYjfB\n",
       "0hCi2GoisqR8UjkI6v+EeEhSWRRZ7UKDsA/W/2Q6AE0Op9+F18wqLHHbAxcCjAnYtgVCgCTNRVCb\n",
       "Kg9nqHl0Eyq9CHEi4AcCvqHctRCSOPipGKuLrvFLyc4xJeCl3ZlIQ5kEKLBWVc6+M/xcwfIPFPMR\n",
       "VC5JkDiIWFWnCKlcpsalcvP050URhDLqLNxlWd5oNCCEyEJMlRHoVmEuhq7eDKZb3UgI8SZkI6w6\n",
       "vAjgb9J13wYwQghZdjNjvGNIwnSsOHEcZ9WLut1ugQFPtv3EhPk3rfqWEVyTIPv2JXjooaqSd+FC\n",
       "Uck/cCDGunX6em3ot6zfL4/FNDatJjV30OtxyFCVurCnAEmh1F6dtyGBCpNhzCRQJiMJ+qNHAIxC\n",
       "kZw4XpQKKY6hoVGMjhYtQ6tXF4XQxz+e4K23imNYvJjj4sXquOqSte+5RyAx8IBt2xiefdbB5cv1\n",
       "gu/ee53CZPLhhxxPPFG8btKoLkONpBdAnb/p2pVJQrECEiETKHtvOh0fNKt8ot9bjrrX/OJFjnXr\n",
       "Gli7toF33x0zrtPt1t9HZphcdu+ePBGs3FWz1WplTah838/qxN/KBOgfBQmZx50P5UWre24ppRgb\n",
       "G0Or1ap0jR30rOsKw0Ssdc7VlEaTsphZkamDiDqIqZ0t063JpuMAALMc8JQgZOdgeQjsXKkNbSnr\n",
       "EniILXlOpuIQAMDTOSMp59KRVm3JR5I2HmNaKM7/8sw7chnjWZho/TUXSFLxGaSkwbYnNwqUcxfK\n",
       "VZAUyoQByHMUFFEoEwYBAmE7ELab5VqYEFIXTNig3ALlFvzElTkJA4hhRK2MIETUQkxtxFQPTcuJ\n",
       "QcKsAhHpxw4mIgd+nH/qUCYMysugCAOAWSMMZc/vnSK7mSADPzPASgB6rMRZyKZMM8YdGW5U92Aq\n",
       "xhvHcRZeZNq+TtgwJvDGGxTr19vo9YDdu3NlbmRksDJz40ZRA7Xt4rGHhiycOlWNj1m5soUTJ9Ry\n",
       "XfEUYKyswJX/r3ZLHh/vATiPQSSheJw2CLmm9SeQx7btBCyNbQ1DB8VKO4BUTG0UFV79fwtVL8Uh\n",
       "AE8AGIFt90EIxdiYg263VShvqpc+feqpEB9+CARB8XquXs1xxdDQWYYyVbFoUf39Gx8H1q61ceqU\n",
       "2cI/MlJ9mU+dkvGwKonu/HkKGUJVJDxmBV5AkjCV2Fx8dlotC+XUGc4p8te5h0ZjHFHkQXoR6pPl\n",
       "V6xo4sMP+4aEd4nxAQ1UP/ywej12776G556bJMu7BL0TsgpNUlU1+v0+LMuC4zi3LDSJMQbbrsvP\n",
       "mcc8pg/THJIkCSYmJtDpdArdvAc9z0HioOUOTnY1raOURIugoCAqxAbLcxl6WFDktLOwIoXEqg8v\n",
       "ingTDStELBrwSIQEHlxtjlBlPR1QhELKJ5uU5EnpGlosSf/GmbdDeZ4L5xZzuK4FxqVX3FQaVaGu\n",
       "spGCHwo0NK9wGCFrduqHqDQ+DaK8WXQZnNgQXhtuXM1HIKx6jxm3wISFKLbR1Bp5KgU/SOwsrCxM\n",
       "7DzUSCNoyiPABRAzC5QTeGl4VJDYcNIQI8otMGqsfjsl6GFHQggwxhCGIYIgyOT3jzKHYa6i7LF5\n",
       "d8ebeHfHD252t+W7eFOWtjuOJNRBKRyEEAwNDc3oYT1+nCOOgWPHpEL1zDMOdu2iiCJAiPpwFMsC\n",
       "Tp0qegn27ImxcWMDhw7J5WvX2ti7t7rtgQOxpmzqynuIoqIfoUoSQgBlN6aqQGQCh6l8qRCsdKw+\n",
       "GNPXa8F1Y4Ml3oMkHQp1eQkOpCJ8AYS0IcSNlIA4WLSI4OrV4nmdOSPv3TPPJNi61cGWLQzHSo2b\n",
       "222z0ltXvpaQeotHuw2MjlpoNBgiQ0SXScE+f55jy5Y2tm/vY8kSG6dOxZCdrFVSN2BOWo7SdfTn\n",
       "U79mFL5fvEeERAgCfRlBHDPI+1mfKA8AzaaTVdQy4ejRGLZNwFhVzly/zrB58+IscRCAMdxoOlDW\n",
       "KZXorJI6GWNZdQ21XCVAz4Q06Naofr8/sPzpPOYxHZgMTXUEobyN6Vnuxw7aXlFuBokDz87ljrIG\n",
       "R4mNhivXtabwWsTUNoqIcg1/QIYM2ZosoloZ5CyESDTRIFIGxKJR+BuJ3GJupfI2FM3CPnXQoUUA\n",
       "IbD9MYAmgGeDeS0QzsDT0CPbJqAJh+OmfR8SDtsiGb8IQ57JpyAUBVkFoBBy1GnVeAoCgXbNbwpB\n",
       "qJpkmvHcqn0VOxr1OrBZvpB7qTHHUCpdt/br+SeAVP4VIkrQrKnql69PwLlsLgcAfmzBsQVsIiDE\n",
       "zImCgpLhgKzYxRgDpRS+788KYbhTvAhANSfh0U3P4tFNz2b/f/nP/nC6uzwHQI9rWZUumzHuOFpn\n",
       "EtAqvMh13Up40VS2Vzh4sCjMtm5luPdeG0NDMCZ3KqxaZRst2L1ePll0u+YH/+pVjkcfVT0TypWN\n",
       "dFSVs1arygE9LwSwCNW4daC+U2/5uOVZhdQkPU01L0EJvBhCjBX2v3Fj0RW7YgXH+fMWnn46xtat\n",
       "yv1YvXZBUBW0S5aYvQsAcONGPUkIAo7jxwUef9x8Ph98YE46/OADacm65x4P8lUrW/T1Z0Ygn0XK\n",
       "z6e+no+yoUAI07Ih9HqDmuUBH/lIA9/73ii63XqrYhAIrF9fDJ1as6aFJ58cRpJwhCHH1q1Xss9r\n",
       "r52b1RAhZaFSLu12u50Rh9kqter7/sBGavOYx3RQnkPiOMbExAS63a6RIEwF/Wjqnq5yKIryKoQG\n",
       "j0LhGI0F6DcXYqK5CBONBQPXBQCayukEXqHhl04GTCg3iVLbBjzfjvXy49PuAsBJy3syCpaWVv2f\n",
       "/vnxLNRIGkUAoYX16sabMCzKdz8QhXwFQJIItWyQKAkjAUrz73UIIiCK5YekOySCI/EMFYwa9blf\n",
       "nBP4sQPKiQwPYiTv8pze01jr5hwmVvZRXZ5jShDEVb1nLKguC2ILfmwhSD//ef/MZWM5tFSFJPm+\n",
       "P60cBkWgVT+ROwW3oOPyawD+BwAghDwF4IYQ4uLNjPGOIQmmnARVvcj3fXS73SxJbLL9TJUkAMCB\n",
       "AxzLlhGMmUO6AQDLl5sv886dUapADq6eI/sFqHh2hfIYq3HsUVQ1EcWxshoPFuRFtNNGaYAkI9Xz\n",
       "iYzt7AdbsYv7Ud93Fta4dKmo5K5ZAzz9dIJt2/Jtzxl48rlz1fu8YoXZbU+IqA0lkvuSyvv27QwP\n",
       "PVQ8p2XLrNqqVufOcTzxRDt1P6tQI1MjPBVepDwqZejjLp8Xg7l5naz0UQdCOMbGIiQJsHHjYCv6\n",
       "4sXyWWm1LDz99AKcPu1jx44biGOBbrd47EuXQpw7d/Odl+usqiosqdlsot1uo9lswrIsUErR7/ez\n",
       "et6U0sEx3tr+fd+f9yTMY1ZQfmajKEK/30ev16vUdi9vV35e/799Rdk3ERX/92M7q7ATJE4ehhKn\n",
       "pEBrNqkThTCRn4haeLB7FIAkCEAxJ6HvDoMTG8xywWCDwUEg2gVCoDwICXeRiGqd/oh7iLiHkBfl\n",
       "BBVOYZn6zoYWgQ2VKi0JAdrsFhRpm0aZ4p1QBsexKonD2b4rBKEqF3Wvix9Wk5r9QIDVTBHKgx6n\n",
       "oaVhVCUgDquvXkV10qB5EZiwsoZtQJH86QnrqneDSbUJU2Kg/iaUZPkStHQ+44GNvnEenz5M8ns2\n",
       "CEMURWg0BlfRup0w3ZwEQshXAWwDcD8h5Awh5FcIIS8RQl4CACHEtwCcIIQcA/AKgP/xZsd4x4Ub\n",
       "KWHLOcfExMRNhReVUVf+9OJF2XG30aDGcJT6Z5pg+XIPJ0/GOH26rgkWsHt3gJGRYdwoVEMt37ry\n",
       "BBSAc9OkpAR8F8BlqHAk142QJPXEIUkoHIeC0rp1VMff8hjLuQf6/3bpNwLgIlSy7apVNo4ezc/T\n",
       "8wQ8L8H3vpdb40ZGRBZ+pLBoETMmLdd5a+6+W+D0afNZLVpE8OFPUcEcAAAgAElEQVSHaowE164R\n",
       "dDokSxq/+24bFwfw9JMnAc9LIDtfqxyDMvRQMVOPBKatV/ZGjMGcXD6O8fE2pHfCVL1iDGfPyn3V\n",
       "NQ5UCAKCDRs68H2KbduKicl9g0PqnXeuDuzWPFvQS/MBMy+12u/35z0J85g1qDkoDEOEYYihoaFZ\n",
       "y3kJEhueUww10cOOyggTuzZGXcFvjBi35bDRt4bQRJH0+7wDz5JKLxUOHFLKh+ANGU5UrvYjXHBh\n",
       "wbMShKwBx6KgwgblTpaPcHTxM9hwZWtlLIQzCNuGsB1YLELUWgCXheBcVjgCgCSWZAEAgpDBcy2E\n",
       "oVxGqQylSRIxMCxIR9/naDZzeeGHAu30/zASaDZSghYJtNLvSZr/UJYzidOAzW14iRSYSRpqlHid\n",
       "LNeijImoGFKWMCsjYJTJcKEoIbBTL34YW8aE8Sipdo6OKQFlJCvf6ofVi8IFgTXNUrpThSmHQYUk\n",
       "6eGklmUVyHMQBGi16nPsbjdMt0+CEOJTU1jnMzMekAF3jCdBB+cco6OjUwovKmO6ngRAVjbat4/h\n",
       "kUfMbCAM663Uu3bFePjhJq5fH+RJIOj1tBqqUDX29f/LyrvJclFWMttQkrzVmqwTZAf2wCY0DhzH\n",
       "NFmViYp+L/TrrPbNIBOYgbVr83NcuFDg/vtjHDpU3N/atdVx3323+f7V3YelSwf1tyie87lzvHCf\n",
       "J4secF0Ly5c3Ia97+fqppGSvtEyH7hEoh5QJmL016j67aLdNE1CxEdvRo4NrtLdaLj74oI9z56oh\n",
       "bSdOVJft2vWjaXU/3VKrek7CPEmYx2yBEAJKKcIwRK/XmxJBMM07/ciqWHYZRyFshHKSxavrcevl\n",
       "ZOUwVRQjWi/DC92WNeXFF51CqVKFRLhIuIMkNUYFrImITx5OFRuNV9X4bGKIzWdOE9xuFGL5KeVI\n",
       "Eq1/RMTAmQClHI5jFfIQLAuTzGNFhCWPAtVys+q+A0CUNqSMYoEX1h/OlidOmqTN4iyvwoTv4Z/L\n",
       "41NV2YiAMnnvk9R7pJq1hbFVIAIK6h5m+RkxyZq/6Q3hgohk5AGQz5gfEgQRQd9AHmYbZQ+D67pZ\n",
       "pbsgCJCkrhpCCIIgqFQFu51xC6obzTruGJKghKxKbpxqeFHdfspgTNT2SFA9EHbsYNiypfrinz9f\n",
       "r4QlCbB06eSC9dIlfZ2yYmZKFjXd2nI36Q5kbgLHxMRk1ymZNKHJNgq98rlNdhwLgKzbffGi3N/D\n",
       "D3O4boTxcVQ8BKZ4+lbLfJ/OnDGTh3JPAx3NZnWi2rYtwUc/Ksc2iNwBwOrVDvbuNXkRGMxNzsr/\n",
       "KxIkUL6W3W5YWSbhZ/thrChQbZuhfA+uXuXYsMEseJ95poetW0drPQNjYwxr1xYV7F27rhrXnQ5m\n",
       "o8xdXalVmgYUB0GAv/zLv8S77747qQv79ddfx8aNG7FhwwZ84QtfMK7zuc99Dhs2bMAjjzyC3btv\n",
       "qsnlPG5T6HPQbHkQTLHkupIXp99jRhDR9L1X/QJqSEE8gCxwUj1eVAoX8lluZAiZ+d2JmYeYeQiZ\n",
       "h4i5CNMSzarjM+VOtkwhoKV9aXMxEUVZSy0P//NzH8hjpTkJjIksiTkbX8k4FIYcUczhBwxBIPOq\n",
       "/IAbw5DK0EkDNdjVolj/nuchWDwfgwBB4kqZqXsRYq+LpNFD0pA5iFxIYmAKAYrTsCG947Mq8xon\n",
       "BHFCECVAZLAR6aVcy2Vdg4hUyrXOhCjMVH7XEQYA2LFjB1599dVaT8LtKKOFIAM/cwF3DElQLe5V\n",
       "e/tB8Z+ToUwShBA4dChAXTNmW3MJ7tjBMwUSAHo9MrARFyCF2PDw4FsRRboSV1ZMTf+bBLfpGG0A\n",
       "E7UN3vL9uYjjwd6GKDKFrZjuQ10JUAKpDI9i9WqGMCR46qkEe/fGuHgRWLmyOv7R0aribwqBWbKE\n",
       "49Il87hHR+sVfXNCOkG/T9DtEhw7NtgKTylBGA6jWlWKw0wcyucoAETo9SKUr+XERHVszWYEPfxI\n",
       "Pjd5uABjfZiiDJcsqT4vW7Z0so7fy5bVu3jvuqtIEnbvvpYlFM4lqHwGNck0Gg34vo9XX30Vf/zH\n",
       "f4xnn30Wn//853Hy5MnCdowxfOYzn8Hrr7+OAwcO4Ktf/SoOHjxYWOdb3/oWjh07hqNHj+Iv/uIv\n",
       "8Bu/8Rs/tPOax9yB7/tZSd2b8WDrsdlCVIlCYuxNA6P1UXkRyt4EE1EoN1Ir7rs4RyQ8lyO6dyDm\n",
       "DsJKee70N5ZvE9B8GybsKkFIUfYo8LR8uMNj2JyCMekxUBXY4rDoVdCh5ydYptBDnxeKXjAuQ4t0\n",
       "S7siB5QKxOnUnmhToyIKqvy1DtP1pU6zkszMeHFsev6AXyINMc3JgFLwVTiZEPK3II1mDqN8vKoP\n",
       "hNq3WocZRPfXd/WqC28x9KIVgNTD3nzzTfz93/89XnjhBfz1X/91RiBuVxnNBRn4mQu4Y0gCIQTN\n",
       "ZhPdbn2VgKnuR4cQAv1+H3v31iuD4+OaUGEEo6Mki39fu3bytI+rVwU++tFB4Q4eigpm+baVFXzf\n",
       "sE4Cc738DszJsjpk1SPZzXcQmiiGEHHkSrB+HVSvAAuW5ZaWyz4Irvsuzp6N8NZbuXSMSxOlbQsc\n",
       "P159hE+frr5cK1fWJy2fPDkoadn826lTshtzHNfHbBICHDlCIe+fhSIhiFG9b6YxCgA9TExYcBzd\n",
       "E+TD5EUIw2puS7ut1huHmTwWu4UTAjz5ZAfbt+fZ+GW3e2GEpTAB32fYv/9GzdpTw61smKOUMdu2\n",
       "8bnPfQ6/9mu/hj/4gz/Ab//2b+Pq1as4f/58Yf0dO3Zg/fr1WLt2LVzXxSc/+Ul885vfLKzz2muv\n",
       "4Rd/8RcBAJs3b8aNGzdwcVCyyjzuSHieN+MkePVcKoNXGWWLrk4cfAOJCA0df43HBcEEGUYfPfRF\n",
       "F33WzZqecWGBCRsMFnzWAhUOaEoWKK/ObWVyEKakQHkP1F+9CRzlFnxa702P2wsQt2TehLK8x655\n",
       "vowiqn0vlY01hJvWiZhysrP+v953gafERCcMhfHEApzYiJ1WRnb0scee1FfKRGgitDLlnTICP5JV\n",
       "jWQuATIPglLsVfJ0TlDy78qjoY+vnFht6jCtd57+UYMQgs2bN+O3fuu38Mu//Mv4hV/4BezcuTMj\n",
       "4rerjGacDPzMBdxRJKHRaFQSXWayH7U9Ywyjo6MghOD06XohdvYsLf3P8fDDUhkbHjZtkcPzgOPH\n",
       "Yxw6VEySKqKs3OtjYagqiybFtg9zqE9o2H8Oy9K9Ek1j+E0O6QmQgpdCKrh2Oj79GqkJQqSdqIm2\n",
       "vexOffr04UIZOssCjhwpjv+eexh8v7hs9WqOGzeADRuAj38c2LIFeOIJgRUrCJ5+mmDzZmCRVjxj\n",
       "zRph9DwAwPLlBFeuDCqNSnDPPfUemHvvdXHjxjByr4GCOZnY3POEA6AQogVKF0LeLw7zPR6FqWqV\n",
       "77ch7389YT12LMayZW5GEHbsKJbrOno0rp1Qz56tzo5vv33zIUe3GnpOwoIFC/DCCy/gT/7kT/DM\n",
       "M88U1jt37hxWay3VV61ahXOlklqmdc6ePXsLRz+PuQjP82ZUJEM9i4og1HnCg9SKrIcb0ZJXITTE\n",
       "p+tQsewPLb0AAOhbQwCKlY183sIYrVqP+2nhCsodJNzOiELIPMQaaYiYiyAlBMp7oP+uvAgJtwsE\n",
       "gQsLO7rPyfXbCxC381KoUWtB3h+BxYidFqjl4tM/LWVVEusehFIy9YC8wDqo8CPloVCEIKECgYE0\n",
       "ZJ6MmGflV3/mMSkniOCInCJ5jNzBBs1+aBUURb2zcxRLpZ8ynQwU/wLQPB15xSU9TIrSKmEIo2J1\n",
       "p5mQhdksg60bjIIgwPDwMD71qU/hi1/8Yrb8dpXRQgz+zAXcMSShjJk+pHpuw9jYGFqtFjqdDt5/\n",
       "36wsLloEoyK5bRvF4497k5b0uvdeD3EscO2awOOP13kTciW+2UxQtECHqCr/0yla5QPoATCXrex2\n",
       "o8LxhCGZrAg3Db/SLeeDxiNQtbIzMDYBvVrSffdJD42OZcuKj2+3K/Dggwxr1ggcPSrwgx8IbN8u\n",
       "sGsXcOECx7ZtAm+/Ddy4ATz5pIV77wWWLas/n1WrBjN5SgmazUZttYylS20AwyjeL0WKTPs2jYWh\n",
       "eI9H0v9NXoi6EDsBy6IY/LoT3HtvG5s2dfH229V6vuPjAhs2mCe1s2cjLFpUJKpvvVXTkGIOIgiC\n",
       "gR7IqXo0yjLnTqrnPY+pY1Dxi0HbMMYwNjYGz/Pwn3YvKMSL68piMenUKnxPanINooRkHyAPNZqw\n",
       "zFYslUTcp1WviMmDoBCzap6BIh8qxloPOSp4FISVkQedHOQ7EpnlXcFlERwkFYIgKxrx9CNgacnK\n",
       "YcgQBgxByOT39KPD1DwyNoQPJVQU1i17IKYDvXQsT+93P5RJxZRJhV4PO1Lj0cu3RrHIPup/eT75\n",
       "NoEiCyz/zrnAhC8QDPAYT/t8boH8C8PQmJNwu8ro+cTlHwFu9qYLIUApRRAE6PV6WTzc+++bLRGr\n",
       "VtXv6/x5YHR0cBz/okW5kDx5EpWOkBL5S8Eq5dKK+7ftBNWQEgazt0Bo65oEf4KxsVJ1DTbIlS4J\n",
       "jO6OlZgsP8RGrjirjwPgrWyNxYurj6pysTabAh//OIdtM4yNmcuZnjyph4TJ3JGTJ4HFiwnqogNc\n",
       "d7DAP32a4uBB2VnZhLExDulFcaCUekKUF2Eqr546fvneqL4Z+rMwyFMwBlnqdlDfBKDTcbBjx2jt\n",
       "OkuW1FWVIFi7tjh5b99+eUpNcupwq8ON9H1P1nF55cqVOHPmTPb/mTNnsKr04pfXOXv2LFauXDmL\n",
       "o57HnQxVMrXRaBSUoCAiBQsygFoiYIKsfDO994iXDBgTtAWmKfO6R8CnuQdBV/6BvMJS9pfJv0r5\n",
       "SbgNplVmCpIa+aUpdpZgmQXe5hS+NwQLHLZtgTEObkhcVkhihiQZUC42ZJWQpDJ50JObg6i4L1MO\n",
       "gkOSQmdq5U2I3KK8EcRC5HazDyBzAxjLcweAvJFbQgWslB2UiUF2LC3MSI1N5RskNM+jSCiMoVJC\n",
       "CGNT0h8loigyVje6XWX0fOLyDxmmhmrTAWMMYRhCCIGhoaGsfnySCBw9aiYJvV79ca5c4Vi8eLBV\n",
       "XxdaFy5wbNpUtmgS6Ep/VcgVb2GnYyIlphwFoNn0kSvwQ6hWSepXtqPUqwk5UuFFHqphM1Ntqka0\n",
       "7wmAE9ka169XX5hTpwieeIJj0SKGH/xAYHSU4MqV6v1QIUhlcA4cP86wdKmNdesM3SjH6gneihVW\n",
       "Fse/ezfHihVFy36jQXDwoPIMKc8KhxAOirka0NYxLSvnHqjypi3I5yJJ16kLGbsBoAnObTSbdecj\n",
       "sGlTE//1v45iaKg+fMoQJp3B84rE9Pz5AIcPXymUHJ2rmMyT8MQTT+Do0aM4deoU4jjG1772Nbz4\n",
       "4ouFdV588UV85StfAQC89dZbGBkZwbJly27puOcx90AImfb8wxhDkiRwHKe2cosfFsMPgojkjdQi\n",
       "UiEOdWUxTdCVkXIZUrUs4bZU6oUsyZmUCl1EzM6U/5jZiGiai1D6GzM7Iw1MK9la7hJdRjlmP0rj\n",
       "+h2e5ijExflZz0cIggRhkMu+OtuDSvb1fXOokm78Kpc8LXsQkkQgijgSUfSquCwCsxzYXMudcDuI\n",
       "NdLwj6cfriQPB6HIjqnCg6JYFIhJnIjCR/3Gte3UMkpFdj5Jkn9nXDaO6/sCfpBvF0Zi2h2SZwvl\n",
       "cCPTO3K7ymjGB3/mAu4okqAwE5IQxzHGxsbgui4syyrElR45wjKrdRmDwm/WrLHx/e9HuP/+eiW5\n",
       "XB714kVSEmJN5FV/AgAsDTkKIMNxKHSLchCYyIx5jGGon1Q5BCZGXVfm6qWlcBy9nGdZ0bQMy8oh\n",
       "OPq6XjqWCQDX0OkIHD5cfFTXr+dYvZpj1y6RdVduNjmOH6+Od8WKutKnAidOMJw6xXH5ssDjj+eE\n",
       "zraB48frSYJeacn3gcWLi0ryffc5YGwE0rqvrr+qXlR3j6okoVpBUd+2AUnAzPe30ZiATjApbaBK\n",
       "4AQAHzt2jIMx4IEH6pXlgwdDNJtmkXH9OsN99/Xw8MMjeOCBISxZ0sC7707Atu2s5vV0uiHfSpQ9\n",
       "CZN1XHYcBy+//DKee+45fOQjH8HP//zP44EHHsArr7yCV155BQDwwgsvYN26dVi/fj1eeukl/Nmf\n",
       "/dktPYd5zF1MZ/6hlGJsbAyO49xURT4FM2FIlfek+LcMUZI/XFigKWmImFuobuQnbkYUlAcgpnb2\n",
       "nRjzq/KwKd1rECROocdDPxl8Hay0FCqzUiMePHz2v8+LOkRhLrd1cqCDWIOttGHICvdwYkLbp0YI\n",
       "wpBXPAhxLH//2c1XYKWyObaa0lug5SVQy63kKQDSeOWH0ovAuSQkTIUbUangKy9AFOekQEfWGyHk\n",
       "iJOil6E8fgU/YIgibgy1AoD/uH0pOOcIgmBKhOFWeILrSMLtKqMFyMDPXMAd13EZmJ6Qli61AFEU\n",
       "ZdZEVuq/vn9/fdLTtWv1L8mSJQTHjxMwZsG2k0pb94ULbZw5U6xGc+IExZNPdrFjh4rHb6HVChEE\n",
       "SnlupKVYG5AWZBVGMgHANnRZriuHGqNqfR6GDE3xIEmI2aoVRcqCDajEWkr1R8mDtHjrcFFUcPUX\n",
       "oHwNdcH+Nu6773ns3i3Xd12BzZs5COF4880ycQD276+O19zkTa5/4ID8Pj4O7N1LsXmzg7ffpli7\n",
       "FkbCke+z+P/evRxPP93Ctm0yt0P2b2hAkgKanuNkZWaLIISCFWqQByh6ZQRyMhej+DpPIIqqXiA9\n",
       "uZkQASGKnoo6Mqx+e/DBHnbvliFJa9a0sGpVC2fPhjh0yMeSJQyXL+eT9dtvX8O/+lfr4Lpu1g2Z\n",
       "MTblbsg/rHhR3/cnrYr2/PPP4/nnny8se+mllwr/v/zyy7M+tnncvpgsZI5SivHxcbTbbTDGjHNW\n",
       "oTNyCLQ1u00Yy6676nuzVL9CXxbGBBbJCYIiDgAwQTuytIIg4MKCAEHTrlbzC6mDplNUupUHoNK8\n",
       "jdpoOgxhabljaZZvZhW6/gKAH6cyzCAqLcHASS7jqCVPziFSaEUhhePaWbO0KKRZN2aFIEhgWdLb\n",
       "o5dAbbbSru3aBQ8ChlbLLLPDgGXbKEQRKzRq04mSKNljI6cNmycZ4SmDc4Egkfdf8RnG8/FFEYdl\n",
       "EUNoL8DT50jwYvgyTfMnHIdkngTHIWBMIEl4IW8DkARCVWxtp+fabDYrHZIty8q6J88kaX8y6O9R\n",
       "FEUYGTF3CL8dZfRc8RYMwh3lSZiuUqEqSVBKMTw8DNd1jQRj3z7zi0yIwOnTg3IO5G/Hjpnj1tet\n",
       "M1tMbtzIb4vrNhAETUhFriy41bEtyHAhAsdJULQW+zArpz6qlmup0HqeqYOzjgbabQFVw7/KNWcS\n",
       "cqSPUVnICYDTaLXk/h9/nGPVKoof/ICDGuJyR0bMxPDqVfPyBQuKyykl2LGDYtMmgqVLB78aly9X\n",
       "97lnD888DCdOtFH0rFSbmBVRlRaNRqJto1eBkuj1Qsj75AFwQYh8HgiZQDUZXMKylCahEqKLmsW+\n",
       "faGxQZ1Cq+Xhox/t4aGHejh9OsTWrTdw+nQIwMK6dcVqKG+8kTemUN2QVYlI1ShHxWKXuyHfSphy\n",
       "Em62dPI85qEwlXkoSRKMj4+j0+kYG/n5YbHCjMJYXxSSVwv7TKeDQLPPhOmUUTacP7JKxl+OJ9Xn\n",
       "ngtgImliPKmOayLO5bhS6PVQo4RZCBMpP8oEgXHZ7K1cfSkLm4rz9bcyWWFMhRn1mwvRb+TJzCpc\n",
       "JybFeYomDIwJ0IQVCEIU0UpJVB1hwIxeh37Bg8AKVnaaKIWdZX1hVFWjQccqo+x10YkhZ3m+gSyz\n",
       "KpBQGXoUG/Ir1HHVOCiVYU9xzLN8C0pFIYRKz7tgXBgTuf2AwU+jFMoNzzxPFmjROyTfKhkehuEd\n",
       "1XF5vrrRjwhT8SQkSZK5eXu9XsaATdvWeRJWrybw/frj+FpZ+717GRYvLgrNmvBTHDlC8bGPKeGt\n",
       "K17FcZS7eXa7QBQNAaAgRK1relkF6pX2EbhuhMk6I8vSpWXLtoJp28lIgk40/n/23jzarqpOF/3m\n",
       "anZ3GtJCQhqSkD4ECIQAgai3NIhiqVWWhej1aVU9m7rCrYHl9WJDWd4LFvV0+CzE8lqWpb5RDgu9\n",
       "hUghBeJFJCFAgAQSSEL6CCF9d87eq5vd+2OuudZca6+1T5MTTFLnG+OMs/faa6+92t+c36/5fhzp\n",
       "fnvwvNexeDHDunUcus/Vb3/bvgXfb78WtZrEjh3FBquo4ZeUBM8/LzvWmvT2ksJUJM8j6O2tYcIE\n",
       "CwcO9EKRA51GpK+Vrk9o++W292bzvkolr2jko7/f3E4VluVi/PgQUupC8HYIUYciiFFcH5EFpcCi\n",
       "RcUT5unTqwBsvPxyExs3tkvqylyzpT17POza1UQRzEY5+W7Ivq+iMYNJTRoJeJ6Hrq5OfUpGMYrB\n",
       "wSQIZfctpRTNZjOZYOnvFa1fpDZjkgezLYpJDtLmWvH7AnnMJlP3vGkF8ykOragCJqz4j6h6BKN+\n",
       "IIyLkSkjyXJCBn5eKSOZPg/6tfasZj6rjUnIglc5B63KmCTVyAYDlRUw6eBT72+354yqCXw+olCG\n",
       "gSb3gZnKFBQ7CKNI4D3LAwhYoNIoWiZqwA+szrbG94VKNYpPI48JAecyntQLMCrBqEQUicwfAND4\n",
       "f0RFcjxcyGRZShBEhgwoopQ9/oHEDIs6JDPGQClNam1G0n77vj/sPiSnI4bTJ4EQcj0hZAshZBsh\n",
       "5L8XfP4WQsgJQsj6+O+LJ7OP/+FIgvZcNptNNBoNNBqNAT0/ZSRh0qTO+7FnT5q70dcnMWdOlgH3\n",
       "9ZUbJM+zATigtKyJmoQQ2e3RJNe0G5WKDeXlL0o16kfZpN22eaFKQx5BYJVuQyH/WdHENT0eQrJD\n",
       "VbwUAPDCC09j48Z0nyZPRlKHkKK4HmH2bFmaQvPqq2WhXoIdOzguuaT4+GbPdkpZ/ubNIpayrSGt\n",
       "PzCjCEW1B+2wLHM9gSgy74N22dtKhYJzH0eOCLhu+fVzXS/eh/JMw3xn8VrNwjXX9GLv3hBr1vTj\n",
       "wguLB7lt29rFtM1oQieY3ZB1zikhBFEUodVqwfd9RFFUmpYxFBTVJIxGEkYxkigbU6IoQrPZRHd3\n",
       "d0IQNMru61aBIyrTAdgwYzqaUOTILSIKJvJFy0IoGUYzegAArchJCEG+RwOg+jQU/akGb+1N3/Ld\n",
       "pHVjOK8+Dl59XNv2LckR2Fkb5BAGmku1DXOTeEKyvRTK4HnZASM/cTadS2kEgaeFwJFIiBKBRCSL\n",
       "G1gCQGB3IXC6ENoNBI56LSTgBwItj8PzRTLBD4I0YpHKu6o/StUfY4o4MCqM1CQORtUys/mbmark\n",
       "+9koCecSnscSudgiApGHJgz1ej2p7WSMJfZ7uITBtNdlEqhnKoYaSSCE2ADuAXA9gIUAbiKELCjY\n",
       "9G+klEvivztOZh//Q5EEKSWazSbCMERvb2+bkS767vHjHDNmWBgzpt0YVqvlN/yUKRZOnMha6qee\n",
       "irBwoTIYlgXs2NHeHVdj82aKWbNMrWitHKQRZlQpLIsjDA2vRVhFOkHNo3y/CQkQRfUBvEFKc78z\n",
       "oc93XyZoJw7p7VdcAK6lQrNhg+nT29edNQuFCkZjxxa7Qs49V+L114s/GzdOqR7t2CEwe3b7ZLrR\n",
       "6DzJ37GjB+kkPD8hL/rNduIghL5uEibJqNU46nWCqVMlpk2TuPxy4M47Hfze7+nUJBuUEth2/rqH\n",
       "APpiwqRrGIqxYYOP8ePVtbrkki6MH+/gySdPJIPIpEnFRvrYMY5583ozyx57bHgdLS3LaktNEkKc\n",
       "ktQkxtiIFI2OYhQaRWOQJrzd3d1t95tJKr77fwo6qecaXpmFqJnmWIYefrpudlt5qUwgq3AEoE2j\n",
       "PakViBFxCxFXE39dKO1FVlvn5yKEzGojBgDARDthMGGm5VgQiWfeBocvanCtWOkooG0EIfAoonhZ\n",
       "FHGEIYMf0ORP5K6VSRS4EG2dnE1ykKzXIcE8ilWOAqPOr1NEQe8O5xI0EgjiSbxq1BanVBkkgXOR\n",
       "EAH1ffW5uX+CSzCqjoVzkfwFPk/IA+eyIyG466flTWXzsCwr6TPlOE5CGIIgGHaEuEwC9UzFMCIJ\n",
       "ywBsl1LullJSAP8C4D0F641YQd9ZVbjcSQKVMYZmswnXddHd3V3q6cl/d8MGgdWrGbq7gRUrHDz7\n",
       "LEs8rcVKQgpTptjINfwDoIqYLUt14922rbiBmUZ/v/kwhGjvtJyiXo/QamUf4O7uCppNXdyqP9MS\n",
       "mu2wLB8s7qhZrfoIgiKDIKFz2RkrauSWbK1gmYtOk1P1uTbOSjJU/Y8AvAxgkdqDAv3gSZMkdu5s\n",
       "W4xWq9hwz5gBHCxxcs+caeHoUaDZVAXN551n4cCBdDvHjnX2qOzZU0M2NShfpJ0/N0X1CqYikiKk\n",
       "b36zhQ9/uAvvelctk2ompcQnPzkWu3b5+MIXDmD9egEhbPT1hbE0oP5N/bjnlayykJJg8eIueB5r\n",
       "67wMAAcOlB//hAkNvPJK+p3HHz8ASgXcEu3ywUB7qLQksS6AZowhDENYlpUpgh4oMpiPJJzKngyj\n",
       "GAWgJjee56Gnpye5j02Y446WnmzU03uSC5VmVIm5BedqvYpLwLiEKLCJQZhq6QOKHFQr5fd5f1RB\n",
       "w6WFMqgAMgpETJCkCNmPrKShpB0vK+rNICWB60gEEUHFkaBMybi6jgSLyYYuYi5NtZACkqS2L0QN\n",
       "DhgcwsGkjY+8t4bv/6uX+U4UsAGf7zBkqFaz1yUIGCquoejkUVSrsXwrl2mBdFywzJhI0nMci4EK\n",
       "B7albKVLKDhsOGBgao9hFzjwfrT2AgiuSICQamLPucAXb2LxOZS4/fvqdy2bqOJlo+hYSsCOz50Q\n",
       "ErZtwfdo8rnuI8GYIhSOa8GOL14YpoXeuqhbCAlKOWq1oTCpCd4AACAASURBVE8VzfmY67pJDZpO\n",
       "RwqCILHrnez2YCRQz1QMgydNAfCq8f41AFfmNwtgOSHkRQB7AXxGSrlpuPt4VpGEMmgD3Wg0CovE\n",
       "iqBvzA0b1IPcbAKrVjHMmEFQqxFs2SKwd2950XJZlOGVVziuuaYBQGDbts774PvmvuYNStaQt1oM\n",
       "eRLRbLrGehRqEh6gjCQIkcqeFhMEQKkoqf2KoirUBL7MAOucfI3BFC8X5QYRAM9Dk4Q9e9oHMeXp\n",
       "yRfcltcjOE75RLdeT6/dgQMSc+Y46O+n8DyJRoNg69by6z5jhovduzW548gfMyFFhqFYEnX8eImL\n",
       "LrJw/fVV/Jf/UksUgvQfgEQVyHVdzJ3r4ic/6Ukm0U88cQQf/OBuBEHRY64VqPLXWWLsWIGDByk2\n",
       "bSpujLB9e4CpU6t47bX2SNi+fdnr19fHsGbNYbz5zecWbqsIA3mYtESxqZrEGGtTTXIcJ9GtH+5v\n",
       "jWIUQ0GRo2ogglAGz5eo1/KKMxK1Wvv9LIRM1G4YQ2kXeDOKICVBX1RTqQ2xDe8Lq5BSTdJrLo+3\n",
       "TVQ9AlWTe6ZlTCMro0wEqP4MnaLQpjxrEBE4NmKykCo1CaFIxv/ZtxhvnbyxbRs6omCBg8MGj+0+\n",
       "Ew4sIlTRspDglMNyrEHXIwS+sl1uJR1H/ICiUrGTKGo+JScPLgTe/WYCyl04FkMoK6gQilBW4ZB0\n",
       "3CgiCICqARBC1SN89g+DxNZHkUzs3h1/qgmBwOf+QYBYBJwrWVfbtpKeEY5jwW9FcFw7IRu2bYFR\n",
       "kbwGgFYzhOPaGXWjMGQgVirHXlZ/MVSYhCFvtwdDGM62dKNhqBsNZsBaB2CalNIjhLwDwP0A5g75\n",
       "l2KclSRBG2gpVQMQSumgDXT+5nzxxezDsXu3RLUq8aY32XjiifIr3GqVT0I3beJYtGjAXUGrVba/\n",
       "Au1SmPnJno9UoagGNRGlBespuK4HSs3IRR1dXf2ZfSAkhMw0h3HR1RWh1So7gjpUQ7Z0/XboiAFQ\n",
       "nIqjv3cCwCHMmjURO3e2G5BXX21X5LnwQl4qY3rwYLnRO3o0e+22beNYurSCdetCzJnj4MUXy6Mh\n",
       "ltWDlKww5GtCZKGXTiB/7NWqhUceaWD6dOUxN70u+h7lnCdkgXOuZP0Mr/o114zBmjWL8P73v1Jw\n",
       "HtS6abaOjK8vwbFjNo4d87FgQQObN3v5LwIgmDatXkgSdu4MMG1aA6++mn7voYdeHxJJAAavVKZV\n",
       "k3RkxZTn0wXQedJQFDkYjSSMYiSh77MgCBAEAXp7e9uEJorWNyGlIgq1ai4VyDBPZnShSA4zCCXy\n",
       "c+Rr5ikJY00Q0t/L/k4zdFDJkQA/suAaUYBEjz8imd+JKEHFlcn/ICKoukptyXWAyCALfqiWAarG\n",
       "IWJo22cCWTo7YtJBKCpwLJYpvNYEgYYMlZo6SWHAkuhKpcQ7HgUMbtVJ0ocCj8KNowyMCTiOlaQb\n",
       "6deMIYksuBZPIghSkowPLZRV2LGoiFVAFKSUCEOOv3jXMYShg0qlkkyotfOHc544h+76hA3f9/FX\n",
       "33dBdFSBKAIjdEpUwJIu1GZKlEpRyqYjBX4E2yYJgZCyvPncyUKnlGp1JE0YpJSlkqpnW+Fy3ke1\n",
       "5YXH8cqLj3f6yl4A04z306CiCcY2Zb/x+t8JIX9PCBknpTw6nH08q2oSTC8O5xx9fX0QQuCcc84Z\n",
       "kgfHNNhF8qdhCBw5EuGaa8q3uWdP+UTy2DE5YPiuXq/ljLY5wQ5hXjole5rfXt6kdkERh2JlHUrb\n",
       "jzPK5IdySMmQjxp0UndSk2VdsKwlOfP7mf2NYhAogrMakye3fzpjhihMHTrvvOJ9azQEdu0q/qxW\n",
       "k9i2rZ1APPccw/LlVfT2draY+/bVkRKf/LoM+eJzdVy6h4L+s/Dgg1UsWKAUI3p7exN9at/30Wq1\n",
       "EIZqgq6NrPa+aEUJbWynT69h/for8JWvnIdGQze903ChlI5MtaN0ItPdXR75efXVMpJFMH16Vgr1\n",
       "3/5tb6yGdephqm00Gg3U6/VMAZ3neQm5Gk4U4ejRo1i5ciXmzp2L6667DseLCmEAzJgxAxdffDGW\n",
       "LFmCZcuWnexhjeIMRBiGCIIAPT09HQnCQPB8NbHTeeNJ19ycuTTfh6FMlI3yOBHWcSLMemPzj6dO\n",
       "XwooSSIHGr7RfyWISGbCH9Ly5m1acYmyVJXJVGRiXPWC6ISW1YuWofiX98ibKVEAEMYNQxnjbV2Z\n",
       "o4AlfxpJsW8Hz7mOOADI1CqYNQGDQSDriGQVoaghkHUEsg7f5/irDwn09PTAdV2EYYhWqwVKaRI9\n",
       "tW07cYZoO/+Vj0mEXpSoOSmywZJjZlQgDFiyj/q1joYEPs0cF+cCfitCGJ+fwFN1HmHA8LnvDq7j\n",
       "8lAcL2YNWr1eByEkicDp+gV1TJ1rEs40+5zvsDzn4rfgXR/+6+SvAM8BmEMImUEIqQC4EcAD5gqE\n",
       "kPNIfPIJIcsAkOESBOAsIwkaKjwXoVqtdqw/KIMmCVEksWlT8cR1zBgLTz4psGJFu2d+8mQLR46U\n",
       "P0hjx1p47DGK+fPLU5/Gj0+LmiyLoVPxK2sTzqZo73MgoRqvFRVL96MowkBpA5WKNhweiiIBUtZh\n",
       "WWWTLS21Ko19zm8jf23Mz/XtqXP2D8Dz2q/HlCllUoPFe3XhhaKtsZ3G3Ll26fdWr2aoVsvvpVqN\n",
       "wPf1/rfXGViW+aMcijQoUmBi0SKC5cvNCE6qGtHT04Pu7u6kEKzZbKLVaoExlgwiut+HnghTSvHJ\n",
       "T56PXbuuwIc/3I1x43wA/RDCi5vCZcmBxnPPNTFhQjFReO01hoULlSKQbRPMn9+N5cvHYvnycSCk\n",
       "issum4ClSydg+fKJmDq1C+vWHSs9b3mMVI2AjqxUKpWkgK5arSYD7Ne//nX80R/9ETjneOWVVwZF\n",
       "Gu666y6sXLkSW7duxVvf+lbcddddpb/9+OOPY/369Vi7du1JH8sozhzoFDhK6YARBI0ysQ2RKNtk\n",
       "bb5ZyOz5KSHIFzib0N15B0K+HiCICFqBlVleqGrUViCt/msioPdN296IAlQrArEsYeAC6DeCmE17\n",
       "DDyrJ0k18mUDvkw9yi5hiLgaw/7kj89BFDFEQbsht0o6LUcFpCAKWOKND+JCZlbgTEv2mQusXFGH\n",
       "kBZC7iZpV4GoZv6r18UT3b/6UJpGWqlU0N3dje7ubti2nRAGxhhs204UhHSU4Wu3OAj9CDRkyX7S\n",
       "iCHwI9CIJftovo4CmiE6uui7iCTJN8jRYxIGTQh838db3vIWtFot7Nixo9RWn2n2WYjOf3lI5am9\n",
       "GcAjADYBuFdKuZkQ8glCiO4c90cANhJCXgDwDQAfOJl9PKtIgk4viqIo8SaezGRj0yaOqCQgoBn4\n",
       "qlUM116bnezrhlplmDXLhRAEllUtzR01i5BTpRuN/Jfy74sKirXs6Rj09JjGk6O8EzCJi7laKJZS\n",
       "BQAblUr7A6skPGXBvg2lqVp2X4AQGzY8mVna26t6GqxYIXHllRIXXSQwb57A4sUc1SrHtdcSzJ9P\n",
       "Mnmy55xTfk/09pYbwlqN4MknBS67rDhla/z4sUjrMBy0H7vetjbAxU3Wrrii8z1rGtGenp7E86Kl\n",
       "fT3PSzwu1Wo1maQ4jsTXvjYHmzZdiUWLFAlljKBWK5MLJhg3rjji1dNjY+rULlx++VhUqxVs2RJi\n",
       "zZom1qzpx+rV/fB9ieee68OaNSfw9NN9+PGPXyvczhsJMzWpUqngox/9KN73vvfh8OHDeNvb3oYZ\n",
       "M2bgG9/4RsdtPPDAA/jIRz4CAPjIRz6C+++/v3Td0XqH/3jQ0T4pZRLFGgr+9n/bCALRRgoAwA8H\n",
       "56WmSZMvtb4fiEJFo2SfDfuTv2UZ10orQCtQKUba46/lVsNIvY5o/JqWE4QwkgkxYGZjMmOI8wOZ\n",
       "9Ido2mPQtLMddk1b3uRZhSDX4m3RhDzCAvKglqsDMufC5gS61R9m1tWpO8orrw6gFte6EUgEbPBK\n",
       "QJ1gWVbi8Ozq6gIhJIkoB0GASqWCWk2JWXzj1iq+erMNvxUiCmgysacRUwQiJghRQBMSJZhA4Cly\n",
       "AQAiPi4asoREJH8lBOJUwbZtWJaFRqOBr3/96zh27BhuvPFGLFy4EL/5zW/a1j/T7PNQSQKgUoik\n",
       "lPOklLOllH8TL/uOlPI78etvSSkvklJeKqVcLqV8+mT28awiCTpfbzjG2YT26qxfX+41MBVennwy\n",
       "whVXpAahbNKloSU0N23iWLas2KNw/HhZOhJH1uufjzIARRPtSiVVtunvNyMKzYLvp2g2Bz6PQZCf\n",
       "1HIjvUTLmGrkSUL+XJWdcxWN4PwVTJkice21AhddxOB5FE89xbFqlcAzzwi89JLEK69I+L7E6tUc\n",
       "q1czbNnCMHmywLXXEvT0dFYnOnasJIwAYN48B75PsGULwfz57WTn2LE60om/PvYU6qHXKVtm34Qs\n",
       "Fi0aPLE102u6u7tRrVaTIjDT82RGGWo1F088cRk+/OGJIETGE5Jiw791a4iuLnUc9bqFpUt7sGRJ\n",
       "D3wfeOyxFvbsCeF57cfQ25u9r3/6072D7kJ6qtWG9PbHjx+P6667DgsXLsRvf/tbPPzww7j22ms7\n",
       "fvfAgQM477zzAADnnXceDhwolnglhOBtb3sbli5diu9+97sjfgyjOD2ho1Rm7dBgUBRJyHe9BYCW\n",
       "x5NixyAQSR2C+dokE2GOWOR74JwIXJzwHfQHjvrv22gGFvo8q3CSkpnMhyZRKJZozf9eUsNgRDyC\n",
       "MNXs7xQJKYJFBAKuHFi2xREJB67NwanhHY+jCspLrux7aLwG0ohNGBZHIDT8VpQ4CP1WlKQXDdR/\n",
       "gUkbXMSdqMXgxFOKYNt20rhMOz0opWi1WuCcJ+mnf39bNwIvVOlHNB2PachAo1R+NIoYoshoEOcp\n",
       "IqHPgRSyMIJw81dLCxHV90bYhluWhcsvvxzd3d3YuXMnvv/972P27Nlt651p9pkL2fHvdMBZVbjs\n",
       "ui56enqSPL3hQhvsfNGyRqMh8dvfpkZBSoKNGxkWLHCweTNDf39ng3HsWGp9N22yMXGijUOH0u/M\n",
       "mNHA7t3mBNN8HSHr1WcwJ97VaoQwzHswWogic5kFoAEVXeikOcwhJUVPj43+YqGbGHW4rg/GAEI4\n",
       "RJsnx0EqfarTa0Tuc32u8yMTgSII6r9lRdi79xXs3XshAGDBAmDz5vY9mjRJYPv29P3rrwOvv84w\n",
       "aRIwfjyBbaMt5ahSkdi5s9xb19Oj9tvzgIMHLcyY4WD3br3fBJ6nr4MmCkV1Iro2w1yWxWCK2vPQ\n",
       "+ZqU0iQ8nVf+0WFqx3Hgui6+9a1FuPXWGbj11lfw4ostHD9e3A06igQWLuzCjh0BnnsuW8g8Z04X\n",
       "Dh9uz/t8/nkPEyZUcPiwuu7Hj1Pcd9/ruOmmaW3r/i7RarWShooLFqieNCtXrsT+/fvb1r3zzjsz\n",
       "7zspJz355JOYPHkyDh06hJUrV2L+/PlYsWLFyB/AKE4r2LaNnp4etFqtIY1BZelGQSBQq5U7aoKA\n",
       "o1ZrdwrptCJ9e0ZUoOJauHJhOqb1Bem4Yf60iNOKmr4FLoCaMXTk6xxorliaZvozyMx/KZEUWQOq\n",
       "vwNjEq6r5S0FHEcp9di2Igy/eGkqbrioPQpJcnbT41W4cTonExb+5EOT8IMfH4Q1wERLEwW3krXV\n",
       "fitENS529ltRUvhcBs4FLG7BtVUkQ/epkSAQ0oIVNwul0oFdItAx4/wxhcvz0NEq27YTpR9di9Zs\n",
       "NhOH0D9+aRz+9PbDsGMZV51qRSOqCEYsJ2XZFqI4V8wyBCACP1I2zlJSq6eLuMP1119/1tjn0yCY\n",
       "MSDOKpKg0anj8mAhpcSzzxbnGs2caeHll7PLggA4ckTi3HNJx6LlSgXYti2VDe3rA668sguHDqXa\n",
       "8q5rFpVl04F6e230ZaTr8024iiZ6RQ+KA6VoIwv7DqjJq5I77e+3oVKYylKBLKjeQBKUFg1oJkkA\n",
       "FKkxayPyufsuhFDG27ar4DytZhOCAVgLQJGECROK96jZLCZ4kycDTzwRYe5cG4yRDCmYN8/CxnbF\n",
       "vQRm9OjoUcBxHEyfrghjT8849PcTpKQtTxR10XL2WB1HZpohAcBFFw3NGOtBQwiBrq6uJIpmptfo\n",
       "XHzGGBhj8DwPUkpMm+bg/vsvgeM4+OIXX8Hdd++LFS1IrMREQKmFLVv8ZPJgYv36AOPGOTh6NHsQ\n",
       "jAFz547B4cNpRfn/+l878YEPTP2dDzaml8vzPHR1ZVMWHn300dLvnnfeedi/fz8mTZqEffv24dxz\n",
       "i1WbJscV9hMnTsQf/MEfYO3ataMk4T8I9L01UukMLY+jUU9tbxBwOI7RsyCJJvBExpILCdsiyaSd\n",
       "WIooaJgEwURbAbMAmh7gusqpwnhWbhVQE/qIAlbHBpwKEU1TdTmXcB21j5Sp14xJOA6BH6g+BPlT\n",
       "qFSO4j4BEOCIJ+DSAhc2QubEx2+oHFkEjPI2IpDZryBVMCr7XE+2o4DCiV/TKO0t8M7f60bEOFxb\n",
       "IOQuqjZFwCqo2OXpOX5JbUIZtK0HkKSZAkjUgGq1WqYPwbe/qAqg/+8vHVWJrZaa9EspEfmRIgC2\n",
       "lSEQLC401ySChtRQhBqZFKqhIB+V+OUvf1k6hpxp9rmsNvJ0wlmVbqQxEiThxIkWXn65eBtjxxYv\n",
       "P3hQYsoUC75f7o2eOdNGGGZv8Gee4Vi2LC3COnTINFZZA9PXZ343760WBZP0ForrAPoAdEE17StC\n",
       "H9KIhYVqtfyYHEfA90lpwa+6zUyC0dkrY05GOc8TLgHgKBSBAY4caf9+tSrwyivlykYAsHUrx969\n",
       "LFMgPKaDI2fMGIIdO7LbPHhQwvcdzJplw/O6kaoTtR0R0jSjLKZMyb7XkY7BQtfhSCkzBKEIWqPa\n",
       "LIDW4er+/n58/vPT8J3vzIbrWjmpVlLa2TgIJObO7Sn87LnnWjj//HQQXL/+BB59tKSDXe6Y3igi\n",
       "UUQSOuHd7343fvjDHwIAfvjDH+K9731v4Tb749Bbq9XCL3/5SyxevHhkdngUZwSGI5ahOopzBAFv\n",
       "G79UH5wUvpGKpOU4TTAq21ONIoH+QKUWFcF8xIXIargHocyqJ0WpwlIrVriLqGz7CyMJGu+L6hac\n",
       "2ycm22ottJpTUR+CTmCxzXIsAdfWefUUNJZV0mk0NGRJ/r2JfJpR4KVjj5AyU/AbGvn8eluOJUtF\n",
       "PMz6hIBXEYoKfD70zsFhGEIIkUQ/89A2vtFooLe3F5VKBZRSfPO2OgIvAA0pIj9Kz0lIEXohwiCt\n",
       "SYiCCDRS541GNI5IS+MzlbL0iTtPlO7nqbDhWuGoE840+yxk57/TAWcVSRiJm5JSCsYYtm61k87K\n",
       "eXRqv+44wGWXleccTphQ7I3fudPCuHEWxo61B6hHML+fn5VHyF5SAccp+r20IRrQg56evMHsR75Q\n",
       "OYrqKKoXqFYFGKOQsgJCys+LbZvEYKC6hLKnQ19fB8BqjBsnsWVL+7rz5gn4Jc2szWhAGAJr1kRY\n",
       "vtxGpdLeH8HEnDluYY7uoUPA3r1d4NzsEA2Y10mpU7XDsgT27csuG0oUQQiBVqsFQkjpoNEJuiDO\n",
       "lFl93/vOxYYNF2PlykYcHdJoV2HSePrpFq644hzMmdPA0qXnYPnycbj66nG47LJxmDt3PK66agKu\n",
       "umo8Lr10DL761a2gQ5AJPBUwB7BWqzUkknDbbbfh0Ucfxdy5c/HYY4/htttuAwC8/vrruOGGGwAA\n",
       "+/fvx4oVK3DppZfiyiuvxLve9S5cd911I38gozhtMVRHlZY01vB9Dt/P2qMg916TA85l8loUTKyj\n",
       "Ds+b3kUhCfo9gqZHCicnnCui0PIEaJwmZNYhmD0aKI2JQSQQ0ZQYRJFI1g3j12aBtkkYVFM4Cc9v\n",
       "t8kt1kCTdaGfNeAxNdF2cmMPEwQ3vX9S23dNG0kL6g8CL8rUKhSRCY1okOuVweowXhZBp5MO1tZr\n",
       "wqDt+z9/9XyEXgBGGRhlCQGQUoKGFIwyRL4iRlJIREGUEApFGhS5SpaF5bUbI4k84eh07GeafRZc\n",
       "dvw7HTCabhRD53T7vg/HcfDSS+X8yZxo5uG6wJo1AsuX17BmTTvLyEcRNA4flliyRIUPjx0zL0u+\n",
       "j0CnS5bd9jnnUJw4kScJNNdEC+jvr6Na9RCGLhSBKJI6teE4DIyZOvoiTuvReYzl50xKcz8cpLUG\n",
       "GmbBr8h9nq9hiADsxpw5Es880/5bvb3F+3DeecD27e3Xbs0aiiVLbLz2WrnR1nmzRWBM/6A+fpMs\n",
       "UAihO11nccEFErt2ZZcNth6Bcw7P8+C6LqrV6kkTZF0ArVKoarjvvjHw/Qj//M8H8OCDR3HgAMPh\n",
       "wyy+93U/Egvd3Yo8bNwoMW5cPU6ly57HuXNr2LpVe50kPvaxzfizP5uKCy6oYtq09n2XUp6U8MBQ\n",
       "MFSSMG7cOPzqV79qW37++efjF7/4BQBg1qxZeOGFF0ZsH0dxdsP3fYRhiG8+NC6zXDVjY9kOwD5H\n",
       "PU490ik6gCIKtk1UjQBTqUYmwlA12QJSNSMhVd2B6rCsfxNo+SqlSAgVKajmMkzCUMC2STLZr7gW\n",
       "wkjAKrBBNFLNx3TaE421+d2KlVE3ankctkXguARcSNBI/YbZBbjJu5LUWEIkEL/2WTVpXmZbAiFz\n",
       "4NoCXuSARhTVAVJkooC2pSLRkMFxbXCuuhOrrsUCggtYtpUoAKlzL/CO68+DlAwRs1F3FWEImIuK\n",
       "zeEzN6mX8Fm1jdAMBlEUIQxDdHd3D8s2EkJQqVTwr38/G0II/OGfb1PLLQKLxI3WLBanH6n7S3AO\n",
       "QiyQ+MbRDdw03KqLD//3feg/ehw/+4f5b0j0d6DfONPs8+kSLeiEs44k6GKVoZAEKWWiDtDb24sg\n",
       "CPD888WegZ4eYNeuTuo4ygA8/zzH3Lkutm5N2TYhwPbt5ex7/Xrg4ovL6xFye43sZD7KrOs4AidO\n",
       "FDXzigoKi6242/JRlEudAkJ0QdUS2HCcCM2mbpKmUYk/b3+QhSDo7q6g2dT1GA6ykRAL2UiFjTLF\n",
       "HU0e9u5dB+Cytk/NonITs2ZJlIgdwLYlGg1g6lSrkCzs2lVm2B1wXkHaEA1Qx6GPRy9rPyfnnttO\n",
       "EgYTSdA1BbVaDZXKqckRtSwLXV01fOITF+DjH5+e9B556qnj+MEPTuDXv/bgeQJRRBBFElIC+/ZJ\n",
       "1OtVECLQaFioVi0QAoShhTlzJqLZ9BGGDA88cAT33ecDaKCnh+CKK2r45jcnYerUk5MsHizyNQln\n",
       "UwfPUfzuocegshQ9E5og9PT0wPcp6vV2B00UcLgVK0m/0cXCgkuEXOXwm8s1dCdgPclbsiA7lvR7\n",
       "ynbriUq2eDl97/ky6bzLuSIPukmXZROjd03xmMuYgJCA6xCEoSpOppEiC45jZVKQGFVREdsgBz9Z\n",
       "OxnvvLyvbbum6yhgFXBJksm4FymiYBErlieNpUkN8uQaVdS6cNd2nUI1n0wdQshgxzUhUcQguEDF\n",
       "0YXiEhG3UbHbxyCPVeBYQycIjDEEQTBgOulgYVkW7v/OPADADR/dCCdud010LVsc+ZZCJiSCWCSt\n",
       "aYhJBaMMjuug2qjjDz+xFQDwv789OxHNOBXpRr/reraRxlBT6n4XOOtIAjC0SALnHM1mE7Zto7e3\n",
       "NzHwzz1X/DDPmgW8+GLxthxHJgQiDIFWi6Cnh6C/X8bfdbBjRznBsG1g69a8vKk2ZBJZwqD6ENRq\n",
       "QBAwpI25lLym6q1ActvKdmo2PxOihVqtEod/iw2REDa6uoBWKwBjRbeOhVSJqB3NpvnORZYk5L9T\n",
       "ZgyqUMch8dprG5EnCTNnlndT7pQmVqkAe/YITJhAMHeuja1b0+s0c6bdgSTofHzzfEikDeQcFHdf\n",
       "Bhyn/V4YSP6UUgrf91Gv1+G6A/WcGBno54lSimuvHY//9J8mJQXQNC5E0YpJ2tuU72ospUy6QluW\n",
       "hW3bfGzcGGL/foq3vKWBCROUV9+yrGQweCMGhaFGEkYxisFgoDFIRQkChGGI3t7eePIn4Mddb6tx\n",
       "Ea0sMDuBz1CrZ+2vTvfRnvcw5JmJtpLqVONHn5fa9yTdKFOPkO4354ogcK4kGaVIC7I1YSiqidDb\n",
       "dhyCKBJw3JQMMCaVd96xwFhMFlwLXEgwmhIEziV8P3sceaENiwhwaSf/g9hr71gWfGrjxptm4Cf3\n",
       "7incvyiI4FazNpSGNJk0R0EE23WSqEHoR8lnNKQQQibfjxhBLTckChBwScBL+jYIaSHiDmpOudCJ\n",
       "jhg3Go2T6tpdhge+txCtViuRjaeUIoqiJFVJN+bU8vL62mtBjBv/Yrd6X3HAI0Vm9L0vhBgRUqPH\n",
       "gTAM37Ax743CqLrR7xgDTTKiKEoeEDNlo9VCYa47UJ7KAgBz5jjYvDmd+O3dK7F0aQ3PP+9DSmDy\n",
       "5M4kYf58Fy+/XPZQUQASlYqLKNLrOAgCwHUFKDUNaRBHCzgAgWnTJCoVif37CVqtdBLvOByW5cde\n",
       "ISveVhhvq+i88diL0OnBr8T7WvR91X25t7eKvj4LqouzxmCfFm1QKRTx2QpgbvLp1Knt3nlAyZu+\n",
       "/HJ53uiePeqzw4fVwHTppQ5eeEEtmzLFwa5dZd+tQZGAfKdoaixrb5gGAM1mlpA5DjB/fjnJiqII\n",
       "QRCg0WjAcd64R1cTE/N3054LtVKZVVMrXpMG/XrmTBcXXljNDCJ6YAmCICEgelu6qc7JQg9yZiTh\n",
       "/PPPP+ntjmIUg4VWqNEdmYvu6yBgqFbtzHvXNd77DJU4DSnwORw39mwbCkcaNOIghOCEN/Aks78l\n",
       "IGWabiSkSl3SBEGTBcFlHFkQyTFljlEAjmsldQhRXGjtuFbahCxMVZoCn2UUm3RPlaE4CWwiwQE0\n",
       "IxdOXEDMBQENaSaCACCZ3Ou8ese1014CEU0Ui2hIE5Uf/ZkZgQCAlW+fCscWiLiFWhzJKJr8OZZA\n",
       "xB04TgSfubBI2nTt0guKou8imZ+cCnsvhEgi0nrywkYqHgAAIABJREFUrZXwtKSqdty4rpvYc23L\n",
       "hRD4569NydhmbcN930cQBLAsKxkLTtZ++76fdGA+W3C69ELohLOOJHTSxtXQRjqKIvT09LQ9gBs2\n",
       "CFQqKCxcLuqEqTF+fPuy555jWLGijlWr/LbGMnmoULP5INlIJ9wWgGrcAVp7qBXUdtUx9/aqol3b\n",
       "Jpg508WnPlXDhz7kJgXZqqcDxYYNEbZvj3DokI1nnmni9dd1zmgVvb0UfX35AcUDINFs2rCsol4I\n",
       "Gg50SlIWAtVqBWFI0NdXVBGuIyVloWszuKxf2wCeh0kS9u8vJmGLFgHr1xef/5kzSSZS0GoBL73E\n",
       "cPXVLp56iuLEibLr1o32egm9blZ1qohY7d+fXXbhhQJh6IFzJ2OUzR4IXV1dp8SjVAZNTMp+t5PM\n",
       "qu48qwcJnRqlPVLaOwWk+a56wNFRCb1OFLc+14RBRyVOFpr8jGIUI4mySIJJEHp6egonTknDMZ+h\n",
       "WnXAhS7yzU6kASTNvIqQjyaUoa+Zpi8BiiDofZACCKmIn1f1J7jEre85jq/9rDc5VvP49DZEEnEQ\n",
       "cOOJtu5grFONVCRBwLatJCKhx0nHseKIS7tNN6VQzfoEQKkMhcyKFY4svPuP5uLf7tuW+X5KDnRk\n",
       "gCUSp/q9lkSlIQXnPCEHoaeKzG3XRhREMM1QxGxUHI6AOagURIoBIODt065ms5k4XmzbTghCtVo9\n",
       "Jd5zrYrnum5byqpZn1ar1RL7G4YhLMtCpVJJ9knbZ23HtW0GgEajkTiQPM8rdB4NZj81giBI+kKc\n",
       "LSiKFJ5uOOtIgkZZuoIQAs0476XMi/PUUwKuK7F0qYPt2wX2709v1HKPcur9yOPJJymWLKl2/K7a\n",
       "tjkJ46hWrbiYWL03jgLpJDxNZalUJB56qIElS9rDHZVKJZmYLV1KcemllcwE7s479+P73z+CI0ck\n",
       "+vpcAD50XUClAiN6AQhRQZreVAQX6cRZT5CdONyst6OWZesO9HbTgmXbdsB5iKKJOCGAlEcxe/Ye\n",
       "VKtTQIjAyy8Xe+0bjXKCNmWK1RZ9YAx46imKN7/ZxZo1ZdGfLmSvBaCuUz4a0P7bY8eKtvqIiy+2\n",
       "0dXVlXjltWHVhvJUhZyLoIlJFEVDIiZmmBpAMkjovFo9AOnBEGiPMphpSnpb2kOlPVxBECQDkiYW\n",
       "gxl48jbB8zx0d3cP6dyMYhSdUNYnQU/MGGOFBCEKGCo1nWakvusHNIkYAGqSrVORfJ8mk2/zdRim\n",
       "2v1hyFGt2qA0a8OkVOQgIQNFdQnxmzBUpP5L/1ka3+/F7R9UqSlCCLiuiy/9UO2XbVuwbILATz3y\n",
       "XhQlOf0mKdBpR5yLuBbBirdBEPisLSqSPc9ZcgCowmXd2RhQhdeuo/LngZQUaJjpRTSiyXm3bRth\n",
       "ELVFDWhIE7tFI/Vd21JRjCIEmaJlt3S9er2e8dzrc1qtDr87cxn0fajV7TrBJAzaAaQjy9qOa1vP\n",
       "GMsQBnN+oecelFKEYThkwkAIOTsjCWdATcJZJYFqosiTwxhDX18fHMcp9eIAwDPPCPT3A6tXMxw7\n",
       "JrBihYNaDZg6FTh8uJz6lanjCEHQahFUKuUPw4wZLo4csZHmshOEoTJGjmNOyIsmoAS1msT999ew\n",
       "ZEk579MPfJFO/qc/fQ42bZqDAwcWYNWqC3HddVWoHguIoxcmLHSOfrpQk30d8cif52ruv4qgKOMr\n",
       "kOb023GfBB1JyW5HSkUotm9/Bi+/zDFmDEe9HmHxYoqrr2aYODHO07UktmwpLxg/dqw8BSwILFx2\n",
       "WQXttqmCVKUpTxKyJ6fouk+d2m4cLrqIJB75rq4u9PT0ZLShW60WPM876Y7iA0HnS5vdm4cL7Xlq\n",
       "NBro6elJGgAFQYBms4kgCCClTDxa+njNAUlHHmzbRqVSQb1eR1dXV0IegiCA53nJPg/l3IzWJIzi\n",
       "VKBIsasTQfj0N5Vmc+C3O5ICL2u7/FZqkMOQgTKevC4CYwKLF2bvcR09MKEzH3xf9WoIfA7PY/ir\n",
       "D4kMQdDHV6lU0N3dje7ubhBCcPuHAtz+oQBRxBEFseZ+xJMiZ0Y5wiDtNaBlQxkTyXEnqUjxejq6\n",
       "8f0Hc0XXUQ19UQ3NqIZmVEUrqsCLUrtrx9EEx0amv4OW/8ycn5JlAJJ+AUBa3KzOldrPle+Y0XYe\n",
       "ixCwLNnIZT8l43J3d3div3Q69Ejae20vpZSZZmyDQb4Hg+u6SZdnHWXQNlmnJaUZDDI5xq6uLjiO\n",
       "A8YYWq1Wkl460DGGYXj2RRKM8a7orwiEkOsJIVsIIdsIIf+9ZJ27489fJIQsOZl9POsjCUBW3rSr\n",
       "q6ujIoyUEmvXZrX0V62imDXLwuzZwGvtHeIBAJMmEezbV04gJk6s4MABG11dflwXkMW0aTXs3q0f\n",
       "WDPtBsh2RDa98er17NnAv/1bA9OnD20ypz0J+TSR2bOBH/5wDv78z7fh/vtPoEjxiDHdNTkfCtXk\n",
       "wEV58bFOSapA1RjoASI/kTfPE4n3Q0ca9P8KgMMADmL37jHwPGDjRnUdbJvj8sttdHdL/OY3xQ/c\n",
       "uecSbNpUTiCEIHj2WY4LL3TAucTu3fq69CKNbujjLLr+Ii7eyy4955z2dS+6yPxdkUQStDHnnGc8\n",
       "OaY3ZqTSb8zuzXrwHymYXikgG2XQOvFSStRqtcw6+i+fmqS3Va1Wk8/1tizLSs6PGWUoiiSMkoRR\n",
       "jDTy44/neYl6XtkzpSfpYcAghUTVqIT1WjTzvkyEwSQM2iuvJ+kA0F8w9mj4Pk8KmIVU8qV//X8N\n",
       "PDm1LAu1Wi3JZb/jTyk++/dqQ0oNh0DwWEbTthIC4TgWBFMRBMu2wGgqMWrbREUXqACxSCZtqj/K\n",
       "emyI4TjrD1xUnfTcRIzAdSTe88cL8POfbE6WaxIghYTjxp5uymHZVhJNMKMG+jP9XStO+3IdwLEV\n",
       "IWlU4rQwaqPqCPjUQcVW/x174POoJ/CWZSUpkJTSxN5rr/1Q0nXy0HVjJ2vbNUmsVCoQQiQRAm2j\n",
       "6/V6kjZl2mY9TpkRYh05F0K0jWemvR6NJACEEBvAPQDeBmAvgGcJIQ9IKTcb67wTwGwp5RxCyJUA\n",
       "vg3gquHu41kXScjnR2p5U60iMZBk5Msvc5woaCS4c6fqhnn11cX5gRdc0PlUcg5s3y4xf34DRY7Z\n",
       "Awe0R1orBJkFnekxdXXp5RLnnEPwj//o4sUXu4dMEPLId+Pt6urCP/3TRbjnnhno7aVoT5khcZhR\n",
       "L6eoVnXEwwXgwrbLSJMmETq9yFyeV3DKf09HFfR6ipQ0GmvbIjmcKynaKOK47DKJGTPa92T2bFKq\n",
       "MFCtAps2qW3u2CFx8CBw7bU6glCJ77W8glT2OkyaJOF57ca4yDgsXpwW+bZarcTzou9pM8rQ29ub\n",
       "kDvf99Hf359EGQYjvViEfPfmU60spKMMplKT7hDabDYTsqLD2nrCb6YdMcYSFQ19/5qOgDAM0Wq1\n",
       "kjzw/LkZJQmjOJUw5bV7enqG9EwFftZ5ob3rgEpN0l72/GuNPJEoIghCqh4FrZbpGOOIAj4ogmDC\n",
       "jFTf/ekGvv5fK6oBV8QQBhSMctCIGYXLLIl+CC6SjsaAipaEmWOR6I/q6I+KPcl2XKhsWxI+tRFQ\n",
       "KyleZlzZeME5BOfgBkEAAGp4cPINwhhNPdyMsuQ7nHJIIaEDEBaRCGj22jJOwHj79faoC4+68KmT\n",
       "vFbnI9tNWU/EdVTZtm2EYYj+/n74vj8o77sJXVcw0rZdOxu1l79SqSR2VxMDbb/NtCMdIdbRiUaj\n",
       "AcuyklRbTTr0MWpVv7MJUnb+K8AyANullLullBTAvwB4T26ddwP4odq+fAbAGELIecPdx7OOJGho\n",
       "neq+PqWv3NvbO6i0iVWryr3Ke/dyPPUUxYoVLvLPWKdmWwCwY4funyBw1VXZScmECTa2bQOyHun0\n",
       "tVkk3Gqlv/cP/1DHTTeNfM6iLiCtVqv4kz+ZhT17rsEtt4xBpUJRrQqoKAeDlAK2rSMBTpIeFW8F\n",
       "llVGyAgUQbDRXteQJ2Fl10yTEUU4PG8/VJ+HLBoNiRdfjLBuXYS9e0Ncey1BtZo+fSdOlNeJLFxo\n",
       "J+cbADwPWL2aw3V7Yyk+swsxRVFX4gsuKH7SjxzJLh83DpgyhSQh2Gq1ilqtvG9AntSZqWP9/f1J\n",
       "Ks9gB5KT7d48XGjvmfZu6ZC7JkE6oqLD7gASD5b2NulBJ4qiZFDREQY9+DiOA855MhAfOnQIDz30\n",
       "EIIgGHRNwk9/+lMsWrQItm1j3bp1pes9/PDDmD9/PubMmYO//du/HZHzNIozC3r8abVaEEIMSBDC\n",
       "uPtvvgOwOekXuUk/M+oMzNf6O4IJBB6FYKKQIDRbAi2PZ4ong4DhS/9ZDpkg5KHt07dv6wWjPE41\n",
       "UsenO/cKJiCYSN4Ditj4rbT7NOcCoRe1nRcAsEoU8aw4798LLUSUwLElHBu47j2LjEl+TBTig2eU\n",
       "gsdRGBrbkSKYqUnXvWsOnNzwFFACIZX0qYaONACAT4uTNwbqpqwn4mZ6l3YO+b6fmUwX7vcI91rI\n",
       "Q9/rjUYj42jU+6kjaVrAQkcZTMIAIElN1c4xbfPXr1+PXbt2dYwknIn2WTfrK/srwBQArxrvX4uX\n",
       "DbTO1OHu41lLErRXVHteBzvpWbWqeNI4ZgywcyeP16G44go7k5e/f3/5ZHPWLBeHDqUX/MknBVas\n",
       "SBVV5s2rI9uROIVltT/4tg384AcVvOtdp76IVRkXH1/+8hw8++xSzJhhQZECHhee5dV9UpRLqQKA\n",
       "gG1XoMiCifaIRflnFnQ9g8Latl+59FILnqeVm4DVqwNMmsSxcCHB5MkkiRQUoVhVwgGlbhzd0fUH\n",
       "Otzd3g/BdYuun8CenHT3RRcRUErheR7q9fqQm6TpQURHGWq12qCjDNrA5yMXpxp6/zjnbZ1EiyJb\n",
       "JgnSg46OIJiqIGVRBp0SYVkWDh48iL/7u7/Dww8/jJtuuglf/epXsWHDho4D7eLFi/Gzn/0Mb3rT\n",
       "m0rX4Zzj5ptvxsMPP4xNmzbhxz/+MTZv3ly6/ijOPpipbVLKIUcQTHAuMrUGUc67rsmB+RpQBCH5\n",
       "TpSd8AqhCIIJz2PwPNa27slCCIGv3WLhnv/WAKcsiSaEAUUURxX0n0mS8u/LQIxC4PwpNufCXCBp\n",
       "OpfsG+eZ8yQ4T0gDN6IGLBeBlFKAUZp0jKYs3a5uqlaEiBWP18tmBImHfzATeJ3eZU7EW61W4hjK\n",
       "23jda0GnAI00dLTMVD0CVOS7Vquhu7sbjUYjWU8TZ72+GR3WY5SOMmtp+s2bN+OOO+7Ad7/7Xdxx\n",
       "xx3YsWNH236cifZZis5/RV8Z5KbzBmfYrP+srEnQE4harTbkHLbVq4uN0uzZBM89l75fu5Zj6VIH\n",
       "L73EUK8T7NhRbszOP99OCIbGqlUSK1Y0sHq1h76+bHqReX1d10aYOFaUNvX3vlfFe9976i+dlr/U\n",
       "6SCzZ1exbt01ePzxI/j0p7fglVdUd2XHUfmjUhYZuLLOyQT1ejeazQBKSUljoHuZGOvohmx6kn4E\n",
       "wG4AM5K1Dx9uvy579nDYNsc73lHHQw9lm/NoNBrAyy8XPaWa3JnHpXsitP9Ws5kvNFfRhZ07s+st\n",
       "XCjaehEMF2W5/zq31dS9BpCQ6VOhpFEGTeIBDIrE52VWdY5rPiXJlFnVA49ZyyClhGVZWLRoER55\n",
       "5BGsXLkSf/EXf4FHH30Ut9xyCx5//PHSfZg/f/6Ax7V27VrMnj0bM+Lctg984AP4+c9/jgULFgzi\n",
       "rIzibICeDAEYVO73x+44ikotnVyFXpR5n4epcGS+5lzGufyqWZmOPFx62YTku/1N0ZbG4Hks3hbH\n",
       "V/5s5PyGWkmwWq2iUqnge389AR/5gpJ0030LCCGwnbSeSnAOK57I6nUY7UxclMpddpltxcTAlggp\n",
       "AWNKltWU6tTQnYP1a/25jjZYjpW+jr/35ncshGOThJiE1ELVFQiohYoj4UcW3LgOwYvsJB2KFKgb\n",
       "6VrJ4Xj4TbuonSPNZjOx8bZtt/VCGEloO673oQg6M6FeryeSqvn9NHswaNuu7wlCCD74wQ/CdV28\n",
       "8MILOHDgAD7/+c/j3nvvzfzOmWifeY7Qvbr1Cby6bVWnr+wFMM14Pw0qUtBpnanxsmHhrCMJOlev\n",
       "UqkM+aF76SWGgweLJ6mVSruheu45hksvdVGrSTz9dDlJCILiQWLVKokrr6xhwwadZw/kC5PD0PSu\n",
       "Av/4jy7e//5Te9nMFJAi+cu3vGU81q27Brffvh133/1bMAbU6wS+3z4hTtV/9PlTKkWua6PZFLDt\n",
       "c8C5qQXKcuvr81E0YdfrEKjJewDgBQDTAVhYvJhg48biCA/nwIYNPubPt3DiBMHevdnrvnhxFc88\n",
       "k78XdNRCn38CnWpVhnzE4JxzJObOFZg4EejrUwNXd7fEJZecuh4I2itjyuCaE2xd2DtSHTIHgp5E\n",
       "WZY1rMhFXse7TGbVbOBjFtDp7tG6uPk973kP3vve947Ise3duxfTpqX2eerUqXjmmWdGZNujODPg\n",
       "+35mgjMcRAGFkBKOa0MKiSigcFw7SUHwW1FSPOu3UlIR+FT1Jai026T+ZtaGCinRair7GARsxAmC\n",
       "Tps0J48/vPM8fOizar7iVl1wyhMyowqULVU3wEVCIAB1Hr/9g4P484+e20YK+gMHEgSMA0Kq+oOi\n",
       "QmHXIXjH+y7Bv//rixkyAKS1CMQikEKCCZVLL6SAoEJJUQsJLlTRskWAiErUa52vr0ftpDaiDCMh\n",
       "bZ23iboYWBdCAwM3lx0OtFLSYFNUi/ZTS1rnJVU1mdD2OggCLFy4EJ/85CeHvb+nm33O1yaef+EK\n",
       "nH/hiuT90w/9Tf4rzwGYQwiZAeB1ADcCuCm3zgMAbgbwL4SQqwAcl1LmBNcHj7OOJGivty7AHAoe\n",
       "e6x8on/gQLE344UXKK6/3kWjQZK0FhOOA2zZUu4JIaSBRsOJJ9iA6Unv7gbilg5wHInvfreKP/7j\n",
       "U08QzOLVTpPG//k/Z+Pzn5+BL395J37+80MIQ4kDB9JJuWURVKsWfB9QE+o0/Ug3zOFc1yWY58jN\n",
       "vXeQdlo2YQ56mlyEAJ4GsBxOSTMbAFi82MHGjSEAjp4egiuucPHss+nnipzlv19HtrhcS7aaqlQp\n",
       "Jk8W2LdPfTZmjMRFF0k8+6yKLmQJCME3vlF7Q3ogaCMtpUQURUkhWFkfg5EeVEzVpk41F0NBGQnS\n",
       "hW9aLUOTBH3Mhw4dwvbt25N1AGDlypXYv39/22985Stfwe///u8PuC9vVKrWKE5f6A65x48fH/TE\n",
       "TKfV6Mm97lFAQ5b0FwhjolAEvxUWRh90ykyeILRaqZ0+VQShTOf/R/+PSqG+8dY9cKsuLGElikGM\n",
       "AhaxYOlGap7qh5LvmAwAJ4JKhixYFiBikx1EFrhQ6T+2pVJ0w0jCtgHBOEg8rnHOIYVI3pufMUph\n",
       "xSSF0ZQ0rFi5CI5DUKsSUAbUKulvVlyJIFKKSkXwIzuJPuhD6jRODQfahkdRlEzIR1IhSSMMw5NS\n",
       "SsqrHJlKTnq/GWPJOPHrX/8azz77LL71rW+1betMtc9yiB2XpZSMEHIzgEegJhzfk1JuJoR8Iv78\n",
       "O1LKhwgh7ySEbIfSsf+Tk9nHs44kaK/ocG6GX/+6mCSMGSOxc2d57vq2bRyzZ7vYvp22EYUFCyrY\n",
       "uLH8RqDUxZEj6bYrFS2XKdFqKWM1bhxw113Ae96jOh2fKm+vmZs+2Alcve7grrvm4q67VNfj227b\n",
       "hnvu2Q8pCYRATBB0/4ey89AA0G+8L4pGaEhkm7DpKIMEIQ6k5AD24cILj2H9+nIlBDMLrb9f4tln\n",
       "IyxbVsW2bUC9bmHDhrzhriKVYQVSgmI2u8sO4FOmCOzbByxdKrFzp8Tq1eo4mjmNcscBFi1648qD\n",
       "tIfJTG3KT7CDIEgmz5o0nOx9l588nAqDnU+10oOPLliOoghf+MIXsGzZMnzve9/DvffemyFnjz76\n",
       "6En9/pQpU/Dqq2nN2KuvvoqpU4ddMzaKMxCWNTwbLYREGFBUCqIAOoIQBRSOo73faVfgPGikcupt\n",
       "28oQBClTgiCEjAuVKYQ4+edbbTN9xgdK9b33/70A7/+vad4loRaIRdR+REoulVgqBUWEIkMU+kM1\n",
       "M89HFSwiwSWJ03oIgoggojr1iCAIJVb+4RI8et96SCGTbSpy0P6aR8wgCoo0VNw0zYgQIKRAtSCT\n",
       "x4+shCz4kQWrQ9O1kYTOBACQePi1CIS2hSZhGI4zSG9npGSyTUlVLVmv6ys++9nPYs6cOejr68OW\n",
       "LVtOSgb1dLPPZVLGnSCl/HcA/55b9p3c+5tPbs9SnLWFy0XN1DohDCV+85tikjBvnlUqkzlhAsGO\n",
       "HQwbNjBceKGLrq7sAzNmTLl3uKeHtBEI3dm4t1eFTQkB7r7bxfvf74Jzjmazif7+/iEp1wwGjDE0\n",
       "m81EknK4D/5dd83BM88swfz5NeT7HNRqRY3VgDTPP9mb3PvBPUjqXKjtv/baEyCk+HtTplhYty5s\n",
       "W752bQjLoliyxEU2VVCrMZkDssi87+pqvw6VCsM113A89xxw9Gh6Pl99NbvunDlAtfrGeDi08dUN\n",
       "bUzoCbYuNuvp6YHrZu87LSU61PtOb6NSqYxYBGEovw2o/PBqtYrzzz8fd999NzZt2oTbb78dX/nK\n",
       "V5Iu7INF2fEvXboU27Ztw+7duxFFEe699168+93vPuljGMWZh6GOQRpaBUh7GcNc8a75PvCMxmq+\n",
       "ek1Do+iWZZ0d+QgCoJ6P/v5+tFqtYT3bGjoKrZXFBoOf3j0LP717FhhloFEEFlLQMAKjqolZ5EdK\n",
       "blRK0JCiL6igLxicqEPc1qBNcpxziWVvVU1pBOfJuSp7zSmFjAeEq966CHpexwoCAEIAXCjpU9eR\n",
       "maJmEwWBkRGD9vDnU4A6KSRpp9BgwDlP6udOlcOSMZYo/J177rm4++67sX79enzmM5/BznxBXwHO\n",
       "FPsshez4dzpglCTEeOIJiriOsg3lev/AhRemE62NGxlmznRhyq4fOlS+DwsX1gq6GSvoOoaPfczF\n",
       "H/yB29a1FkCbcs1wjbvWJW40GiNSvLpoUTeef34p9uy5El/60nS86U1jMGVKDbWajQkTKpg+vYHe\n",
       "3iq6uuqo1xsYO/bc3BY4slKoWS99doJppvtkm+DV689i6dL2/bvgAgtl9rCvT2DtWoZFiwguvlg/\n",
       "HvX4d/TgpH8z3Y9Fi7JWv16XsCzgySezj9jEiQJHjmR/8+KLT/2EWSsJRVE06C7K+W7JetAJwxB9\n",
       "fX1J/5GB5Pd034ffRXG0qZ5k2zYOHz6MRx55BD/60Y9w+PBhfPGLX8Tx48cHtV8/+9nPMG3aNDz9\n",
       "9NO44YYb8I53vAMA8Prrr+OGG24AoDqn3nPPPXj729+OhQsX4sYbbxwtWh5FKT56+wHQMO3qa04M\n",
       "zA6/NNdN2SQKkdFfwOw1IKXE/ItS29pspp95cRfnr/yZlemgO1wdfl1nNNw0wp99ey5+9u25MTmI\n",
       "1DmJInDKEPkhIj9MioeLQAyHlPnTeg5rWwBlEoxJuA5Bo+EkSkZSilTVyBgYzNcikei0YFvtBEHK\n",
       "tBleHlEJUTgViKIIURQNKAahFZK6u7vR1dWVXL/+/v4k6loEHSkyG16OJLTN1tGPIAjwq1/9Cr/6\n",
       "1a/w1FNPYfLkyYksah5non1WIgPlf6cDyABG4PTYyyHADKlRSgetgf6ZzzRxzz3t3mUAmDSJYv/+\n",
       "4odm+XIHa9Zkb9q5cwkOHhRwXYLDh+3SKMRll/Vi3br27VYqQBQB557rYufOzrmD+nh14abZuMTs\n",
       "NFsEs0B5JIqnhoIdOzysWXMMy5b1Ys6cLlxwwf+Ho0fT879s2QSsXXsweX/55RPw/PPpe0LsOLUI\n",
       "SDs3A5blGgauCmA6Lr54GprNOnbuBKZOtXDwIC0lZ1dd1cDTT6cXbMyYKvr6ahDCQRrxiJCmHyks\n",
       "WCCwebOOAklMn86xfz/H4cPZ83/JJRFefDF7Q9xxh4Vbbz11597sojxS3h/dKVPfe2aaj5nvyhhL\n",
       "1DWGKut6svunj1kPmK+88go+/vGP4wc/+AEWLVr0hu3LCOH0SqY9vXBajVPaJh8/fjxpglWGD312\n",
       "b5IyJOLuv1EQwa26kEJACBm/lhCcq2JfJlQTqoqTUTGSQiTqO3pcv2jJZADlBKFs/6MoAqVxnUSs\n",
       "GlZmN05WiKATbvjoRgCqvo0QC5xz3PrZ1PMjjKZTZvFyv0dQq6g0o6Yn4dgElElwrmoThJBoeRyr\n",
       "H3wetmNDGDN8HTUglpW8th0b17zjUnR1ORBCoqc7HVsrroogVCvqv+7CzLjq0WBbMiUrRCkU6kjC\n",
       "2xYWzzmGA21rhyuAodNNdVdm7STScwkpJZrN5qBSyYaLMAwTRxZjDDfeeCNuvfVWvP3tbz8lvzdM\n",
       "jMgNTgiRH/+bIx3X+YfPjYcskl98A3HW1STkOy4PFo884uOyyyQotbFxY7p89myC7dvLIwk7drR7\n",
       "N7ZulZg508HMmQ4ee6zY+zF2rNU2WdSwLALbdnDffQPnCuoQopaG1GRBS/BpwpAvVDIlKEcqr3Cw\n",
       "oJRi4kSGD3zg3ETJYPnyyXjwwd3JOnkjZ+Xis1deORFPP60LTFOvmhC6qRmg0pZexYYNXXDdBq69\n",
       "tgdB4OC1vGCYgUOHTIlVguPH6/F7HdlgSCVXFVxXYscO9b67W2LKFI5Dh9BGEACgp6f9N+fODRAE\n",
       "dqYd/UhhqFKjg0W+6EwrDIVhmKQc6O6Zw+n7cDIoOuaXXnoJn/rUp/CjH/0Ic+fOfcP2ZRT/8WAq\n",
       "Gw1mDKIhgx0XJNOoPeWVhjSR6KQhTYgAjRgsOztxZ5QlikBAlhwAQKsZgVgEgUeR1ldlob3MRbKa\n",
       "Wtve7AXhed4pIQgA8IsfLE5qqPTk91eb2tc74WlyhCQdyAtSj38YyViqWxUycw7Yuu6A8Ux9AqDT\n",
       "QIzaBMZBCAFjErWahYgqUlCGICKZRmt+aMVMVuIVAAAgAElEQVQyqCQT6dC1ASdr93UvhJNx9pmO\n",
       "Hj2XiKIoKSTW6nenKhps1jkAwOc+9zm8853vPN0IwohiODUJbzTO6nSjwUBKiaefbmHbNoF16yQ2\n",
       "bmRYsEBi0SJ18SZPLv/u7NkWDhwovsi7dnGEIcG8ecWneOHCWmHKS70OBIGFO++0sWTJ0C5PUQOq\n",
       "fHqI9hBpo/9Gd9fVRVONRiOj23zttdkT/dvfZnPEt2/vy+xnf7/pgdHFzBr59KNtoDSA74fYt+8E\n",
       "Lr20+HivuKKedMZW2+xGmlqkuzu3N0ybM0ciiggaDYkZMzg2b7YwdWrx5CAscBxdfnmlsPHZydab\n",
       "aA/fqe6ibHbo1t2SNUEghCAIgmHXMgwVJkHQx7x+/XrcfPPN+MlPfjJKEEZx2sBMZ6ERBY1oIs0Z\n",
       "+Wmo0+y0zLlIiARn3EhTStcxuwKbaDXVNgOP4uu3DDzR05NGPZ5Uq1VQStHX1wfP80ApTezLqWrC\n",
       "qKUvO3nHm0HOoUSKXwehRER1rYbqKXHtuy5PPi/KBdfvr3nnZWp7lvquiTCS8faLj8HLyZibGG5d\n",
       "gIlTkQKk5xK6OafpCDoVtjxf5/BP//RP4JzjlltuGbHfOB0xWpPwO8RgvDh6EnX//X5m+ebNHC+/\n",
       "LLBsGeB55Q/t5MnljL1SAdavJ9izx8E117SH5o4c0TKaWQjh4DOfcXHLLSd3afTELV+EqusPtDTf\n",
       "QPnkI4V8TnzemOVJwt69LUydmqaKHTsWYt68Mcn7LVuOY+zYdKCbPdsoBMkUPiuZU8vahk2bjmHv\n",
       "XoYXXjiGZcsYzj3XLOoCDh3S51wi9bJZSBWUQigykr3u48ZJuK7EvHkCL72kttFoFJ/TAweyyydP\n",
       "BiZNSomdzp3Xg7HuojnU66QbGekmNm90pEin+mmyqknDyRzTQCgiRc888wz+8i//Evfddx9mzpw5\n",
       "Yr81ilEMhE5jEOccH/zMa4WTeb2MZjotZ/MjVc4+TdanIWurW5gxZ2LyOiEI/sBdjMuORU8adQqV\n",
       "rvfRPVZGGnpC2sk73u+r5flCYNPcpZEd9Z7Gk3wp1UTsqrcvSdbV9QlmncJV1y+BbRPYNgHjEhFV\n",
       "yzU5yMML0td+2NnuFtUFNJvNjnUBJsxux6cqWqsdVj09Pcm1H27tShHyJOeJJ57Agw8+iG9+85un\n",
       "nWTpSMPsOF70dzrgrCMJgw31cs7R19cHKSUeeKB4nd27GXbtCnHVVcUG6siRcgKxaFEFngcEAfDk\n",
       "kwJLltQwfbrazrRpFrZsab/5LcvG//gfNr785ZG/LPp86Lx03Sbd9F6fKk+vNgJSSnR3dxfmtl5y\n",
       "yQSMGZM1ctOnZ3NzJk5MVZA4l5g/f2zyfvfufowfb5IxfX4lLItDCAbf3w4ttbp2bROt1gmsWKGi\n",
       "N1df3YXduwVU9EGTBC3dWoNq1FZFXtUIUPUjl13GsX59ek2LemZ0dwsY6msA2ouWdThXe3B0Gpnn\n",
       "eYO+TlpJSOeOvpGG1lRP0iF0HWXodEwnGzkpyot+4okn8IUvfAH333//qAzpKN5wlI1BWk0IiCV6\n",
       "IwoedxVOVIkog5AiiS5IIRMSUFbcrNfPwyQIAHDPfxtcnV6n4+Kcw7btJFo9mKLXoUDn13fqQK9T\n",
       "jLL7lr42hxnNMfRE37ZJbJvUF5a+7ZKkONn05C592yVtkuoVN92wJgo6zYkyVaMQ0SxZ6ASzI7GO\n",
       "2JiKU2W2cThqUkOFTgHSHn5TIUlfe9/3M46foUAfgyY5O3bswJe+9CX86Ec/ekNTVH9XOBMiCWdd\n",
       "TYJGJ5Kg021qtRpefNHGzp3FskazZxOsWSPw9NMhrr66ihde4LHuv5I+3bKlXG1ByX2mv79+vUCl\n",
       "YuOKKyyMG1fB668jSTdShco2rryS4OabR76A1SxQNifp2vjqQjsdZTCLn0+2mFnnSg7Ue8GyCK65\n",
       "ZjJ+8Ys9xnez188sbAaAKDJC7ExgwYJxWL36df1t6El+WqcgAOwEMAHABLRaFaxadRwLFtTiTts6\n",
       "WjANabRAQhUqKwJSqQhEUfYY/n/2vjw+qvL8/rz3zpbJJIQ1EBZD2JEtbBKW6gc3BG0RpYooKmq1\n",
       "1YrWb61dflVbK9atKq3Vqiio4MquaMWtBAggi2wBicgim0kQMpnMdpffH3eeO3ebZGYyEyCZ8/nw\n",
       "Iblzc+/cuXPf932e5zznuN0yvvhCH/gcOGB2ny4slLFjh/6661M20vL+lc9DVHmidJ+0HgYKZ/b0\n",
       "NQprxQJiNTnGuiYy0aFrSqQ/w8qg7dNPP8Xjjz+OZcuWoV27dim91gwySBaUnHK73QBO6V7T9h7Q\n",
       "7/aIAD8t/jmRUxcP5LgcDipyqfQ7VSIoONDiH3c3ruHUShCAFqnU9EruudT0mmiSguYMMqUz4qL+\n",
       "Qbz/lVE2OwqmaSvzB2VIogxJVuYTil8EQYoEO0rAIIkchl9cDFkGggEBDgcPm50Dz3HgeQZRkmGz\n",
       "R68jHJZhtysy5bFyG3abPlCJB/UZjGmN0AClnwFA2hJBWgqQ1TqA53k1AUS9K5Soofdan0iGUcno\n",
       "1KlTuO222zB37twWM2afKdWC+tAsg4RYD4yWE+/xeGC32/HGGzUxj1NTEw0C1q0LokcPG0SRw/79\n",
       "Evr0sWHNGuuomeOAPXvMI0coBGzaxNChgwtKs63STBUKcXA4GObNS/3toAUUYyxmg7JV8zNlEBrj\n",
       "wEsL1nilL3/ykwJdkFBRob83u3f/iFatHDh1Spn8tm+vQm6uHTU1ygS6f792fxl5eQ6cPEmBRQCK\n",
       "OhEHoA5ATeR3J8rLA1CMCSUw1hWyrF1cc4hKnwIDBtiweXP01QsuEEwBQocOIn74wTw4tmpl/k4M\n",
       "Hhz/56kdlLVN6kQf43kegiCclkZhCkIbcuk2ItY1+f1+yLKsU0yyOq6VAeCKFSvw/PPPY9myZWjd\n",
       "urXFWTPIIH2IVc3WBgjX3RdVT9A2GpOzL0GbTZQkCZIkged5RYkmLILjo0GDGBbVBuiuPfJ17yng\n",
       "D0dkU5MPEug51wYI2mvWNr0ma9pFcskul0vXs5YIauuUYIA+esYxcJIMEUoAwYFBgqwGCNRjwPOK\n",
       "go8ryxZRU2JgnBJcOHgGIawPFLQIBJWgAVAqCNqm5WAkVlOOGb9HgtZgzGiERmpDqRSj0CKRPgft\n",
       "vXe5XLpgked5U7M7IRQKqfLUoiji1ltvxZ///OezUXkuaZwp1YL60OzoRgTjAE10hGAwqGpC19ZK\n",
       "ePtt65pgp07Azp36SsG33wqoqgpj5Egb6upiR4DnnmvDiRPWrw0Z4sCxY3IkgmQQBEVvf+pUhs6d\n",
       "U3s7aMC12WxxN65SJsOojR8IBHTNzw2VlCnbnZWVFXcp9PzzO+t+r64OoGfPVprrkdG3bxvNOST0\n",
       "799W/f3772tRXKzwcDmOoX17BwYN6giezwPQBkAugE4ACgHkQVn8y1ACNglAK8iydlFZByWQiH5u\n",
       "2sX/eeeJlt4aXbpYfzZWWYNYTdQNwdik7nA4VAlcKv/G42HQWBi9CBojr2q8Jm1/htfrVUvaxIE1\n",
       "ursyxrBo0SK89NJLmQAhgzMC9OxpAwTjeCiEw7rxVNt4rPVQ0L5u/Fk9T9icuKrzhRCoC+H5+y2k\n",
       "1RK4DqKTNLQwpcWt0bSLnt94NPgTTXLQ2/H6Yo91RC0CAI5nEARJ97f0GVKAwEVoRhzH1Kq2EK5/\n",
       "LA0E9a/766EcXTsqhjGTBbQ0H4fDoY7rPp8v6YbnWDBSgBIBBQzkvaFtdtea9VHAkx0xlfrTn/6E\n",
       "Cy+8UPU2aCmQRLHef2cCmmUlAdAHCcTR5nkeubm56gC3cGEAXq/1Q19UJOPoUfP22loZ334bxIAB\n",
       "DnCcDEmykrmkxafV+7IbXmPo3Bl48cXU3goqUTaGdkJcScpskboBZXqt6C5a2kmies0DBrRBu3Yu\n",
       "VFVFR9aOHbNRUaEtyxuzEdEJp7AwFx06uDF4cFd8+20Ae/dK6NfPGfE4oL8LQAkK8qBvQOYBUJAS\n",
       "BuCHMUDo2lXGoUPKInjIEEUNa+RI83UYXbcJVVX670SrVkBhoeWuCUGrLU1ZRqMULt2nZMr/sZAu\n",
       "eVWCscJFJW2iOwCKxK/X64XT6cSCBQuwaNEiLF26NELnyCCD0wMtj10QBHi9Xl2AQMZgfIReRA6/\n",
       "2t8hAhzPQ5YlCGHFA8FYWQDMsqeSEB0T63wRF+ZQbGpsPCAX30Sf83jlVClAcDqdSc1XNT5ExDj0\n",
       "9B+OAVrWKmNAMChBVB2pFc8EKSLkQWsGWZYVHbsITckWoXLZ7AyhsASHnUMwKMHh4OAPyHBYVBjq\n",
       "ArIqs5oqY2KiBVNCJhmaT33QSto2ts/BijpFEtkAVCrTm2++CZ/Ph3vuuafZNyobIZ0FlYRmGSRo\n",
       "v2ihUAg+n0/NaNNrkiTjmWesI3nGZOzfH3tQ7dvXji+/DGLAAA7HjjHd4s9uB3butL7x+fkMW7cy\n",
       "KHx5pYJgszG8/XZqF26hUEhtNkqlKyIN7A6HQ7doI7qLzWZTMxqJ0k4A5b6NG1eAxYujtutGne89\n",
       "e06C45j6cFVW1uGCC7ph//4A9u+vw8GD1ejSJQ+1tcpEWV5+CmPHdkJpqVZSVQRQDcackOUsKI9B\n",
       "ZygBRAhKwMDB6czSSZZ268Zw6JBinLZ3r4RwmKG62nyva2vN/QhOp4T9+/X7DRrEGnXfY/UBaAdn\n",
       "l8ulBndWPScNGe7Vd26j1Gg6oS1pU9Bvs9ng9XoxbNgw5OfnQxRFPP/880nTFDLIIJWgBl9aDNGi\n",
       "a/Lte9R9KFigfgIx0qSs6vOHBd1r5JEghMO6oEGMGAJQTwMFBwAQ9Ifw8p+jFdhEEQgE1KRPsotP\n",
       "IyXFqMEviiLsdntSC9MaX0PnVtJyfr+o9iRwDJA4BkhKzwLHGKQYFVcKEBpCICirNKNAUIYxP9bY\n",
       "IdKqR8D4mZJkLCWFrGg+9V5DIABZllM+plN1icZsm82GZ599Fm+99Rays7Px5ptvtrgAAdDLG5+p\n",
       "aLZ0I4LP54PH4zE19yxdWouCgjA6djT/TXExj8OHY9+86mplYN+xQwJjMoYMiY4Ggwc7ceqU9d/1\n",
       "7p0VaVZWjs1xDH/7Wxh9+gRSpotfn8xoKmHU0Ha73ToaiN/vT0rp4oIL9JSj3bt/hNMZ/ZqePBlE\n",
       "v35t0K9fG4wY0RmHD4sIBBj271cWrJIEdO2qn2g2b/4BhYXmyUeWgwBOQvFAoOqPHQCHvn1dCAb1\n",
       "Ga26Ohm9eok4fFiCz8fgckVN1LQwBgMA0L27DMEQdybSj2B+73Jck3csdSHK3JGMXSLKVk3lv2AF\n",
       "otBlZWUhOzsbHTp0wB/+8Af069cPU6ZMwe9+9zt06NABhw8fbtR59uzZg+LiYvVfq1at8Nxzz6Xo\n",
       "KjJoCZAkSU3WaBe/oiiq/wBFlUgICwqFRIpWv7VKR9G+A0GV5hTDghpkEISwgPZdohTMoD+Ep+62\n",
       "Ja1cp60Kp8KpHdDLqRIfHYhWv+Ohzlw1XBnvYwUIHBddlPvqRPiDUoQ6ZL2/KEmRuUvWZXdFUVZp\n",
       "SeGwhHCkch0MSpAk5XVRlCFKSh+CIJp9FAAlaKB/yaChHgEtTZjo1FpPi3hkSslpOV1jOiWWaC76\n",
       "xS9+gX79+uHKK6/E9ddfj6lTpyZ8zLN9nE6luhFjrA1j7BPG2DeMsf8yxvJi7LefMbaNMbaFMbah\n",
       "oeM2y0oCacQDQE5OjumhEgQZ/+//VaOiIgyeV0y0amvtKC9XXpfl2IPUOecw7N4dXfhWVkqoqpIw\n",
       "ZowDX38tQBStRyGXC9ixgwcZfDEGXHcdw69+laVTMEhWWSieBuV0gdQoHA6HOhkm2/w8frw+SAgE\n",
       "RAwZ0hZbt1YCAHr2bIVu3Vpj5crDUChBQE2NXvVo8+YqtG6dhR9/VLi8dXUibLYgXC6GQED/4HXr\n",
       "loeqqm6m3oK2bfV0FZ6XIYocKisl1NQo97ioSMSuXfqsdZcuEr7/3nx9bduaH/hk+xFosCVJ2UTu\n",
       "dawqA5WBG6oyWDUKNxW0TY1UzXrmmWewe/duvPPOO7DZbHjsscdw/PhxdOjQoVHn6tOnD7Zs2QJA\n",
       "uebOnTvjyiuvTMVlZNACQJnyhrLjoqi4+qpBADQuv2L0Z21Ds7G52UhdIgT9IQT9IdjtWbomYofD\n",
       "EdfcEgwGVQfcVAUIWlBSi5JNkiSplf94qDPGAMHYh+irkyDLsKwSMMZUSVnGATw4iIaEVtRLSFG+\n",
       "4yPu1rJE/Qv6sS8QVIRIAOiqCP6AvqpQF0hs8UdJmXipWFYNzyQEQfffOLZrTevSea9Jyaimpga3\n",
       "3XYbXnjhBQwaNAhPPvkkKisrEz7u2T5Op7KXBMADAD6RZflxxtjvIr8/YLGfDOACWZZjdM7q0SyD\n",
       "BOI8GvWNCc8++yMqKiKulSKwcaMfgB8jRmTBZrNj3TqzdByha1cbDhzQN5LJMrBmTQi9e3NwOGDi\n",
       "RQLAsGEurFkjg4KEXr14vPCCXX1oGqMsRIsnWqQ35cItVu+DlotIMpfUtFafYk1RUSsUFuZg/36v\n",
       "us3jsSMnx47Bgztg7dpKhMMndX9TXn4KBQUeHDmiBA1+v4jhw3OwenX0Gaio8GLkyHbYuDEAWaaB\n",
       "nMHj6YODB/XX5HIB27frF/9Dh0rYvZvB642+Xyu1ooICCd9/b9psWVEpLk6O5kNZ/Mb2AWh7Tozq\n",
       "QtTLQAEDqZZQo3BTf89IxSkrKwt2ux2SJGH27NmorKzEa6+9plv05Ofn13OkxLFq1Sr06NEDXbt2\n",
       "TelxM2iekGUZtbW1cDgcpmfk8pk7zPtHhgYWGQslQQQX4a1ofxbCYdgiVDpqWNZ+7yVNUOH3BcFx\n",
       "DK/+RRFyoGZXrUsy9QRYLQqJsprORSNx38nXhLwCrKgzicqpemvN4y3jAMr/BYP6xZkoSRDFaE8D\n",
       "/UwmahQgGBEMSbDx5vcUCMjgeEWLNV41IyvQmEufQaLQ9nUZ7z8FDLSAr8+0rrHQKhlJkoRf/OIX\n",
       "+N3vfodBgwYBUOaixiZ2zsZxOsV0o58COD/y8zwAX8A6SACMEW49aJZ0I63Lq7HEtmtXEI88Yh1A\n",
       "bdzohyj6MG6cbOmY63YDO3bE7lVo186J9euBrl0Zxo7lUVgYbVo6dMiO9u2VL4TTybBggXnAq09Z\n",
       "KJbpFD30LperSTO7WjlZt9sdcwCjQIecJYkGZVSs0arwjB/fxXAMDtnZbpSWVkKSgAMHanHOOVGH\n",
       "ZVkGevTQK3ds2VKJ1q31C/0NG6pQUpINahwfPXogdu0yv+fBg3NQUxP9HEtKwsjKArxe/WcbDJpj\n",
       "bI6z/n4Ym5Y9HqB3b8tdY0LropyOkrBRXYieoWAwiJqaGni9XjXD15SwChAefPBBeL1evPDCC2mb\n",
       "2AhvvfUWrrvuurSeI4PmA8YY8vLyLGkh9VEKJCG6cBU1jcban8PBkP41DW0JAFrnt1EDhNpT+lQ7\n",
       "+Yjk5OQgKytLZ9ilpSORfGWiwhPxghalACzd4K2oM/E6/HprJdT6pJj8/2BQUgMExhhCIRGCoDSG\n",
       "A4Akmo+rfR1A1HFZE2gEAppmcX/051gBwswL/NYvaKDNvqdibjfefwpmqb8rXeOoUcnooYcewpgx\n",
       "Y/DTn/40pec5G8dpkjWO9S9B5MuyfDzy83EAsbJlMoBVjLGvGGO3NXTQZllJoK5/Y/nxhx8ETJ16\n",
       "FH6/9QAzaJANGzYoA2tBgQ29emXh66+jD+bQoQ6UllpXGTgO2L9fMe86eFDGwYPKAOLxAMOHO7F+\n",
       "vQi/X9n28MM29OtXf3wWS1lIS0sClEnC7XY36cItljlbPDA2Pxu1/u12O84/vyPmzi0HzzOMHt0J\n",
       "paWVyM/X63sXFGThwIHoJHjwoFf3em2tgLFjPSgt/VG3fe3a4xg+vC1EsS3Wrs2yfI+BgHKu3FwJ\n",
       "/fqFsW6dhL59jfri1v0ItbX6gTY3V0JRkYjsbBn5+UQjANq3V6T14oVW7rMpsvja7x/P82qlSlvJ\n",
       "0FaE0vV+6PtOTfiSJOG3v/0tcnNz8cQTT6Qly6lFKBTC8uXL8fe//z2t58mgeYGq2Nr5Z9JN29Wf\n",
       "qa+AMU6VOmSMgxhpSAZg+pn2AfQVBiBCTZKjz2CgLog3HiuI+d5ieRqQ1woppaUaVmZs9cFInaFm\n",
       "ZwCYdl4QC9dHG7JrvGbqhraq76+rn9pBAZv6P5T7RNKpoZAIUWSwO/SfSyCgqBzRz8YhKdmPkXr6\n",
       "Uq0cR/ef7jUp4tXU1DTKBM8K2mZrjuPwxhtvoLKyEk888URKr+lsHaeNMqfVRzei+ujGmPszxj4B\n",
       "YNFJiz9qf5FlWWaMxeK1jZFl+ShjrD2ATxhju2VZXh3rnM0ySNBCO0i/8koNfvjBeqBwuaCadAHA\n",
       "kSMCjhzxYtQoN3butKGuDvUqHg0f7sKGDeZ74vMB+/fb4I9kFyZN4vHrXyf+sWsX19R/IEmSWmkQ\n",
       "BCEpw7NEoVW1aWzvg1EijQKh885rizZtnOjcOQerVys8xaKiVjh2LJp9OXlST/k6cKAWAwe2xfbt\n",
       "USrS5s2V6NgxG8eO6XsWdu/2omfP7hg2TMCGDTy0lbcuXWyoqGAYOzaM8nIB69cDrVsD33yjv86i\n",
       "ImDfPv02npewb5+ijjV8uNL7sm2bjEAA2LoV0Erf3nGHrHJeGwLRyeI1pUslKIDTBqLae0W9DNqA\n",
       "IVWLC2OAIIoiZs2ahXPOOQd//vOfm6RqtnLlSgwbNgzt27dP+7kyaF7QBgkUIFBwQKDflWZZERzH\n",
       "VCoRxzFFL12S1YSCKIqRRZ0EMSypQQPjGPI6KA3LoUAIr/01PuqGdhEeDAYRCATAGFN7zBojp2lE\n",
       "fWZs8cBKTpVQ65N0qndGBPzmeT8Y6Umgv6G+BVmSwfMcGKdQjYSwBImXVcqRJMoQWYSSFJbhcHAQ\n",
       "BAk2m3nc8wck1UTN+FnUd/2hUEhtGE9nEzFRvOi7qg0YKWBIdk1hbLYuKyvDwoULsXLlypQnd87W\n",
       "cdrYnNwmfzja5A9Xf6/Y8m/9/rJ8caxjMcaOM8Y6yrJ8jDHWCcAPlueU5aOR/ysZY4sBjATQsoIE\n",
       "+kIbv9i//30bzJqVh7ff9mLOnJPYtSsaFAwdasPatWaphLKyOnTsaMPYsR6sXBm7/FNbawepFmlx\n",
       "3nlOlJUpjU/duzO89VbjPnIKEDiOU8t31JxEtB0tjzyVD2M6m1a1meuuXZ0oLs7Hp59GjSr8fn0F\n",
       "Z/fuk+jY0a0LHLKz9YN0XZ2IgQNdpiBhwID+KCsLAggiP9+GHj2y1GxKTk5rfPllEKWl0f179eKx\n",
       "YYP+Wjt2lLFvn24TiopktGoFVFfL2KgmAxisHOYHDhRQU+NX71OsydhItWlKGBfphFi9DMZemsZU\n",
       "GYyUh3A4jF/+8pcYMmQIfvvb3zYZrW7hwoWYNm1ak5wrg+aLD14bCACYeOPXuu2Smr2OKBZJ0d4E\n",
       "URCtfxbFyMLTopcgEELIH7unLhYo4KfnTeuam6rscrJeC0ZoxxdACRBiweczJ/Y4jsHvjwYYpF4k\n",
       "61SNJDCZQZYYuEhPAs8zpX8kRg5EEGRdFcHvN1cVCF6vN6YTdbqbiAHlXhilTutreKaAMd4EkNGQ\n",
       "7eDBg3jggQewbNkyuFzJu37Hwtk6Tqe4cXkZgBsB/D3y/xLjDowxNwBelmUvYywbwCUAHq7voM2y\n",
       "J4FgLPcCgNvN4eabW2HTpm54661O6NPHjnHj7JYBAsHrFbF5cx1GjZJhZeI6eLALu3aZByqXCzhw\n",
       "wAZARuvWDGVljcvKCIKg8gcp+qcFG3H+Sc1Jy/lPhfMundvhcFjySFON887T0+l2767RSaHKMlBU\n",
       "5NHts3VrNfLy9L0R69f/gHPPjfYrjBrVE2Vl0Qfz+HEBa9d6sXr1SaxdewqbNztMSkeybL5Wo4le\n",
       "ly4yiopEfPWVjO++0+8rWvBcS0oU3r/dbld1/42cW/KgaGo6GQC1rB+P10asXhrqZSCn83g5lsYA\n",
       "IRQKYebMmSgpKWnSAMHn82HVqlWYMmVKk5wvg+YDK7oRAHw4b7D6c6ystyxJatAgCaLuZ+3fKmN6\n",
       "hLYUmVdC/hAWPNkFiUBbLaRAQOuaa+wJSGYuSYeUKpB4gABAFyAYEUt6MhwSEQpFP39tP4I/oF/o\n",
       "hcOyri/BCrGcqK28EFINqlLU19dGDc/Um0Y0U6/X2+BYblQyqq2txS233IL//Oc/6GilOd9InM3j\n",
       "dColUAE8BuBixtg3AMZHfgdjrIAx9kFkn44AVjPGtgJYD2CFLMv/re+gLS5I0L42ebIHW7Z0w1VX\n",
       "5aBNm9gPZHGxG8ePiygrq4Mk1aGkRJHEJAiC9QJuxIgsHD0qo2tXYMsWOzye5B96MsIi9Yf6Hm6H\n",
       "w2GpiV9bW9tg41dD524qussll+gnOr9fRP/+ekOg6mp9hSAQEDFgQCvTsXy+AFwuDt265WHHjmzT\n",
       "64Ti4rY4fty4Vca+feb7u38/ZV9kjB0rorpaiOmPceyYfkDNzVWalule0eKagi+/36/qW5NcXVOC\n",
       "aAfZ2dkJe20Yg1ZaZBgDoVi67dpz8zyPQCCAGTNmYMKECbjrrruaVFEpOzsbVVVVyMnJaXjnDDKw\n",
       "gNV3/MN5g9VggQICEx9es0iQRFHlLkuCqAsWlHNIcOdkNypAyMrKiqm/73A4VNEJxpg6l8Qb+Kdb\n",
       "KckKvhj9B8YAIaxZ+KvNyxF1I0mQIIRF3T5AlKak/Kx/jRqYeQvFIy2IOuXxeExNxIlk7BMFqQxS\n",
       "j0A8IEqSseG9trbW0t+JlIzcbjckScLtt9+O3/zmNxgyZEg6LumsHqfpeY71LxHIsnxCluWLZFnu\n",
       "LcvyJbIsn4xsPyLL8qTIz/tkWR4S+TdAluXZDR23xQYJBI7jcOutrbB6dQdMn+4xcQf79bNj7dqA\n",
       "+vupUzLWrfOhS5cwSkoYRo1yYedO80B5zjk8duxguOYaYPNmG9q3T+6hJx4nLZwSySgb1Wq0akmU\n",
       "4Q2FQjEH+sacu7EYOrQd2rbVByRut6ncK5AAACAASURBVH4S27PnFDp31vsZVFScNJV49++vxciR\n",
       "ecjKKlKdmK1h9h7p3ZtHdbX+S1FQIOPYMYb8fBmDBokoLZXh9zMcO2Y+oscj48AB/bYhQ8zSvJS9\n",
       "czqd6udM3FutClSiAV6iCAQCOtpBY0GLjHiqDMFgUDUCpGbp6667DlOnTsWtt97apAFCBhk0Fg19\n",
       "X1fOp0AhGgzQ/7Isqf8I2p+1FQaiHYUC+qRJQyB/m3ipjLSwbUgdSYt0U2d+PTFg2taYAIGoRwSl\n",
       "L4GDEFb2DYWtqwmAuaKgvVyt+tFdl0Xfs1b9D4Cq3kZjY7ImeFag+51slcJYYXI6nTrDtnA4rAsI\n",
       "AeCvf/0rhg8fflZm+ZsC2ufc6t+ZgGbdkwBYZ3K0IPOWLl08eOWVtrjpplrceecRfPNNCAUFNlRW\n",
       "AlZr6AMHwqisFNCliw0lJQDAo6ZGUa7JyQFyc23Iz5fw0kvJ8++MplmNGWTjUUsycuNJhSJdZjqx\n",
       "oMirBnD++flYtChqYlBRUWPat3v3HBw+HOUHHTsWwPDh7fHVV3qZW1F0Ijc3dmSen+/E1q3mgbND\n",
       "Bx7ffKPf1q0b0LmzhL17RVX9qlUryRQMAEqfwrZt+m3DhlkvHrSqUTk5OepnTl4TWo4o3atUqVCQ\n",
       "pG04HE7b/Y71HaTsFqBwdcvKyjB48GDccsstuOOOO5Jy4swgg9ON+pJUlDl+/8XecLvdmDA9YghV\n",
       "D0eZcUy/cJA4SJKMLI8ToUAQ7/2zR9zvTetcnmjypz51JC3PXhAE+P3+tEmpAkrlEYjOsbEChLo6\n",
       "fYAQCgiqp0Q4qKdPkXa9hMg9lGRwNg6yrFQIFA8FGTZbdIz0+0XY7JrfAyJ4LurwrCTnYifjSLku\n",
       "KytL3Rbrc01FE3FjoRUd0fZESpKE48ePo6qqCgcOHMDhw4fx2GOPZRI8MSAmWC04HWj2lYRYoAV4\n",
       "XV0dcnJyVLOZUaOcKCvrjgcfbA+nk0dVVexobtAgD775RsS6dSGsW+fHzp1+7N7th8vF48gRGU8/\n",
       "nTw1hzTxyTQr1Ys2K1qSlnfo9XohSVJCZclUQBsYTZxYqHvt+HE/+vbVZ/uPHTM0EACoq9NzUYcN\n",
       "a481a2Ts3FmJHj2svxO9e3eA1fxcXa2f3HJyZOTmCti4UcLJk9FjFRWZDfQAa8O14cPNnyfxOMlw\n",
       "RvuZ06RMFSHKtIdCIdTU1DS670QbnDQlJYA8F4i/7Xa7cezYMfzlL39B//79UVtbi+rqahywir6S\n",
       "wMmTJ3H11VejX79+6N+/P8rKylJy3AwyMKKhuae2thYA4Ha7IcsyPpg/yLyfpjdB+T1KQWJMUd/J\n",
       "8iiV1GQCBJfL1ejqsBUdqa6uTvX1cblcaeXWK0GCAm+tftynIMAqQAD0jcp0v2L1icQCeShoA4SA\n",
       "oaLQ0HdB64Wg/Rvj52rsX4gXxibiVIPGcVmW4XQ6cejQIZVidM4556CioiKp47aE8TrFPQlpQbMP\n",
       "EqwWTTRIC4KA3Nxc8DyvmlcozTYc7r23FRYuzMPEidZa+sOGZWP9evP24mInfvyRw4cfupCTk1z0\n",
       "3NRNwlpaEk1atFCkcnJ9tKRUgQIjjuPgdrtx8cVdTNzOdu30lZmKihr06pWr27Zr148YNEgJJrp1\n",
       "8+Cbb5TSZ12dhB9/PIEehvmU44C9e80Vn7ZtgT17oucfMkSCxxNGebn5fmTHaHXwWzSwDR+u/3tt\n",
       "YBSP8gc1lVn1nTTE+TdCG5w0ZYBA5yZFLo/HA7vdjsLCQmRlZeG1117DrFmzsGbNGlxxxRUpKbnP\n",
       "mjULEydORHl5ObZt24Z+/fql4CoyyMAaVvOPNkCghlCadz58PcrZ1gcHki5gkCUZsizBkeWCEBYS\n",
       "ChC0GeVULxiJjkQce5vNBr/fn3LaDKCnMXlrBVOAQDAGCKbjhKKJFQoQRJFoXFF/hHBQRDgoGJqX\n",
       "BdOxAoHYMulWIKplQ03EsfoXrHoCtKDxneaMdEAbhLhcLvTt2xetW7fG22+/Db/fj5/+9Ke6YC5e\n",
       "tITxmvqNYv07E8AaeHDPjFAmQciyrGYZiD5BIB4lqbHQNq1uMf0tqT2sWVOHRx6pxv/+p8ht9url\n",
       "wtGjDtTW6j+efv0c6NfPib/9TULr1kylgyRSIiRll9MpeamdQLS0JDJe0dKSUhXAaL0AHA6HetyL\n",
       "L/4Aa9dGu4mLinKwb5+edjR2bEeUluo7jgcObINvv61FQcE5qKjQP2ytWtnQo0dbbN6sTAbFxa2x\n",
       "ZYtZX7mkxIZ16xwoKJDRtauI9esl5OcDx4+bM2ODB0v4+mvTZrRvH0JlZfT3/Hxg377o5KyVtG1s\n",
       "QKj1LwiHwxBFsV6JVa3nRTocnBt6r0ZTpWPHjmH69OmYPXs2LrjggpSe79SpUyguLsY+o27t2YNM\n",
       "vT42zrh5iuiBP/74I9q0UQQXtAGCx+PRJaa0lBOn04lLr/3K8riMUyoIdqcDvN2O+U90gt1uV/Xs\n",
       "6wMlYdLpt2KkMRFthpJMjaXNAGY1JgB49B0zhcZXa5aCDfgF1QWZFvyKN0V0jmAak0t6jySBytk4\n",
       "8DwHUZRgi/xssyk+CXxEKpWLJLaIbqRQjUS4XMr9+b8rlfdFPVjJJGdIdjoUCkEQhJgytdoKcbr8\n",
       "FogC63a7UVdXhylTpuAf//gHhg8fru6T6LnP8PE6JR9kPWZnOshW8opNiBZVSSB6hsvlUhtrqBFU\n",
       "y8OnwIIGoDFj3Fi5sitKS7th1qzWcDqzdAGC3Q5cdpkTjz6ai9df96Br16jtud/vV0uv9WVTKKtK\n",
       "TT9NHSAQ99HtdusyTA3RkhLJWsdCOBxWJxajm/DEid10++7b50X37noVg/LykyZXy+3bT6CkpLsp\n",
       "QACAU6cEbN58HKNHi+jUiUEQzA3LAOByMYwZI6CqKoz165WAorDQ/LxynIS9e81/X1Ag6wIEABg5\n",
       "Mvr3Wt+JVFSMiPPvdDpVZSGi0RklVuncRPM53QHC4cOHMW3aNDz11FMpDxAA4LvvvkP79u1x8803\n",
       "Y+jQobjtttvUACmDDNKN+gIEAOo4QOPff98eYXkcFvFHEEIClrzYR31+tIpDVmMxPe9NESBoaUz1\n",
       "0WYSkUXWnqM+NSZCrAABUNSLtAhrKgKypKgaaUEBgtX+gLmiEPALalXB7xdV+msgIKpUJOo3SLZ6\n",
       "S9V/mpeNMrXke9GQ1GljoVUykmUZd9xxB37961+rAQK910TREsZrWZZZPP9O9/ts1pUEqgh4PB5V\n",
       "pYcW/9pBmjGmDqJaB8L6UFkp4sgRCQ4H0K0bj+zs2A+6KIqm7C5VGTiO09FNTkcPAGUbElE9iJW1\n",
       "1l5XPAgGg7qqjRHffHMKxcXv67aNG9cRq1cf1W0bMaI9Nm6sUn8fO7YLqqoc2L1bRn2Bf2FhDvLy\n",
       "ipCTY4coclCCewmVlWEcPpwHn0//t6NHM6xdq7+23r0lU3MzAJx3noj16/VByl/+wuO++/gmd1Gm\n",
       "5me6X1FqnTOlrqrxvA9j9WL//v248cYb8cILL2DYsGFpOe9XX32FkpISrF27FiNGjMA999yD3Nxc\n",
       "/OUvf0nL+dKA0z5ZnME44+YpauY8ceIE8vLy4PMpPjyxAgSSDY4171xyjeLOyNl4fPTmUNPrxsyy\n",
       "trqgrVKkw8iKrjfeKgWNRaTXT/MG9SfFQn3N1tpKglWAAESDBAAIhwT1XGJYBOMYRFECx5jqvAwA\n",
       "HGNgHAPHc7pqAgUSnI1TKwo8zyAIUiRZozd0JcfsP00TLSshqYIkSerah0zQnE5nWsZ3Yh5Q8Pfo\n",
       "o4/CbrfjwQcfbHRQcoaP1y1qLG6W6kYEWvzX1tZCkiS0atVK3aYNEOihNVJd6kP79nzcsqZad1qt\n",
       "ogtxBWVZBs/zp7VJmB70eKFVqrG6roZoScZm2VjBSe/erdC7dyt8803UhODwYbPxXTgczf4MGdIe\n",
       "a9eGIEkhjBrVAWVlsTMQnTsXYM0aEYB+MT9kiMsUIADA/v3mY7RvD8sgwW43r11Gjox+39LBC44F\n",
       "an7mOA7hcFj1XxBFUXVJToYelwisAoS9e/fi1ltvxdy5czFw4MCUn5PQpUsXdOnSBSNGKBnaq6++\n",
       "Go899ljazpdBBoTGBggAYlYWCFZqM0QDocViOgOERBIeVupI1GMQi45EtEytRLQVYgUIfl9YRyMC\n",
       "9DQYahQVIZv2MyIUEGCzcWqAACjVBGPFwep+0nU0VAlJFtREHAwG4XK5dH1+5JqcirFda/rGcRze\n",
       "e+89fPvtt1iwYEFKjp8Zr88cNEu6kfrgRzIWjDHk5uaCMQZRFHWDdDAY1BmFpZt2oTXQIrMRWqwl\n",
       "a3aWDIzqSY29bu115ebmwuVyqYtCIy2JtlOzbEPViyuuOEf3+759XhQV6ZuVv/66Gl27ZqOwMAf7\n",
       "9tlU2drvvjuF3Fzrr7nHY8e2bdYTTna2ebLr3Bk4csR8rFDI+l5VVem38zwwcGDUvKipAgQCfceo\n",
       "Id7pdOqM3ADo6HGpbFanbKaW3rRr1y7ceuuteP3119MaIABAx44d0bVrV3wTieZWrVqFc889N63n\n",
       "zKBlg8ZwSsIkGyAkCmpSpcQPJQbiaXRNFMZeikRBdKTs7OyYKj7xnOMPP4/dMOz3RZuXg3UhhAJh\n",
       "VTkmHBIgybLarAwoEqhCWAQXuSdCOHazcsAvRPoRrOcY4/4UTKWLTqwNQpxOp6qIp/U0aGwjuVFO\n",
       "dfPmzXjppZcwd+7clCU5M+P1mYNmW0kgnjstggGl/wCIBhFaVZd0ybTFAjUou91utcFLqzcsiqKa\n",
       "2U1V9E9IpnKSCIyZIqoyUEAGRF0c4xlUJk8uxFNP6c0GOnfO1jUwyzLQo0cuKio41NREJ4Xjx4MY\n",
       "PdqDtWvN6gqDB3fFmjXW56yoMH8funVjOHzYvK9Vb1VWloyKCv0gPGAAwHGBtJSZG4KWL2wMTrT3\n",
       "i7JPlN2LpyrUEGiS1zZnb926FbNmzcJbb72FHka5qTRhzpw5mD59OkKhEHr06IFXX321Sc6bQcsD\n",
       "fecBqMmgpggQjOfXGnURHYl094mOlOz5tedIBWWSVHzIRDIcDsPr9QJQ5ouGkipWVQRtgGCUlKTe\n",
       "AqIaRd9HJDgQlAQj4xjCIQEiU6hGhFBAAKcJDsJBAbzbjmBQUGlKjOkDhWSDqXhAyTe6twRtlamx\n",
       "/gtGOdWjR4/i3nvvxeLFi1UhmFQhM16fGWiWQQJ9kanb3qr/oK6uDoyxhGk2qXhvVjSbeMzOtHSQ\n",
       "ZEHHayr1JO112Ww2dXIEoC4cG1qADh3aDoWFHuzfX6tuMyocZWXxqKnhceKEOaO0dm01iovbYcsW\n",
       "rdMlcPBgNqzozP36OS1lTq2S6uecI+HAAfO+RUUCdu7Ubxs+vH5qVbpAQWEizqpEHSCuMx0jUSM3\n",
       "bXM2LYg2btyI3/3ud1i0aBG6du2aqstsEIMHD8bGjRub7HwZtFxQNZjmG5p7gOi4l+4AwXgOKzoS\n",
       "bSf6YSLnIFW2VF8HJS14XundItTW1qoqPvEsarUBghXo/mgrBYqRmvlz4AwBAtGLCIG6MHie6SRS\n",
       "rZDOACEeqVOq3DgcDrV/Id7vgdbTwel0oq6uDjfffDPmzJmDLl26pPyaMuP1mYFmSzdq1aqVmskW\n",
       "BEHXf0CDzelQdaGghQyxYsFKVYiywV6vVw004i0ZUnBCDphNrZ4kCIKayc7OzkZ2djZycnLqpSVp\n",
       "8bOfFep+P3y4DgMHKtKCNhtD//6dsHlzDYqL9cpHhO++O4lOnaKf9/DhnXHokPVn17at9SBbUWH+\n",
       "rnTubH29rVub9y0pSQ/Xvz6Ew+GEAgQjtB4aOTk5apATj5EbBQjUMMkYQ2lpKX7/+99j8eLFTRog\n",
       "ZJBBU4IUfYjiagwQ0uV/o128xzqHlo6UlZWlUk/jpaFoe4vSeR20ICUqEplMxmMqVmdRVQgFlKBB\n",
       "lmQEA+YKg+q0LEoq5SgcEtSKQzgoQBIkXdUBUAIELbgmHuOBqN9CIvcjUf8Fo5LRnXfeiTvuuAOj\n",
       "Ro1KxyVlcIagWVYSCKTLTFUDjuMgCMJp44PX1dXpMqrxwlguJJUaakxrKLOrNcwyuvk2BWJ5P2hp\n",
       "LkBUBYpoSVqN/ylTuuPZZ3fojuvx2MGYsuAvK1PK0t99VwOeh8k9+eRJAR06iKip4eDzSfD52iCW\n",
       "KMrBg+bHomdP6yCB5qjWrWX07Am4XDJCIcDplDBkiAybTYLdDgSDHEaMEOD1BtLmNWEEZQtTSW/S\n",
       "NqtTAE7la+395DhOLX1Tr8/nn3+O2bNnY+nSpWjf3uxLkUEGzQmSJMHhcKjS1iRQke4AAYhv8W7V\n",
       "QKyloVBWWXscmkuA9HmrUEJLK5EMWNORtE25j9xsx59eldUAQduYHPAr24wL+FAgBI7nEQ5GF/q8\n",
       "zZy8C4X0lQMhLCrBRVjUUY6i+4twuvRj7gNTffB6ZbWBOFUVZVIzSpYVYaSbamlpVLmRZVlVigSA\n",
       "J554Ar169cK0adNScg0ZnLlolhKoNTU1mD17Ni677DIUFxdDFEV89tlnKCkpUdWEEqFMNBbpVLOh\n",
       "0jFRQozmWVpq1emonJAMbaI0G5q06LoYYxg1aqWOcpSTY8fgwfkoLdVTjxRFoxrjIQEAAwbkwuFo\n",
       "h82bO1i+3rOnAxUV5mrE2LEMpaX6ySA/X8aAASKOHJGxe7fSFwEAPC/D5QrDpxFh6taNobzcpQZ5\n",
       "dG3p+i5SYNZU9CZtT40gCBBFERzHYfPmzSgsLER5eTmeffZZLF68WDWXyiAhtCjZvQRxxs1TX3zx\n",
       "BcrLy3HllVeC53l89dVXKC4uhizLKekHMMJoatWY42plNImeQn1x1C+XLnMuQDEAI6+ihs6hVUcS\n",
       "BAEPzdNXgRlj8PuCqmIRx5haRWAcgxgWwPE8hLCgHo9gs0fHY8axiHqRYqRGv3M8BzEswuGyq3Qj\n",
       "nud0Ckn04xO/cuikX0mJqDES1LS2SMc4rw0cJUlCVVUVfvjhBxw7dgyLFy/G22+/3eTU2TMELWos\n",
       "bpaVhKysLIwePRrz58/HrFmzIAgCcnJy8P777yMnJ0ddzGgz1onq+8eLhnwAGgsjf5wGS8rspjt7\n",
       "FQva3otkqhda7iQtrK+66hw89dTOyOvAwIHtIIrmz/Tw4VrLagIA7NhRg4su6oiOHWUcO2b+PDp1\n",
       "cqGiwvx3NTXKvjabjOJiQBAknDwp4dNPzfv27i2jvFy/bcwYTr2ueKsnyX4X6TvXlP0P1HsCKAEK\n",
       "aXOvXLkSb775JiRJwo033ogdO3agpKQkJXS3wsJC5Obmqv06GzZsaPQxM8ggFRg4cCC2bNmCyZMn\n",
       "w+fzoXv37njjjTdUpSFa0NMY15h5J5UBAmDO2FPCgRJs6ezjIwOweIMQI8cesJZAJVBFgTGGcDAM\n",
       "jmOQRFGlGmkX90JYiDAQGCACkshBjAQKRgiCCEFo2DiM5mLK2JNQSSzH5PpA7IRE/I0SAc1VgUAA\n",
       "TqcTBw4cwKxZs1BdXY277roLBw4cQFFRUcLHzYzbZxeaZU+C3W7HFVdcgXvvvRderxfnnnsuxo4d\n",
       "iylTpmDGjBl49913VW5+Tk4O7Ha7qqSg5Vg3BjRwUxmwKdRsaMB0u90q15TneZVzmgp35Hhg7L1o\n",
       "bOBFg9UNN/QFoKhPjBrVCWvXnkJVldkz4dChOgwfnm15rD59crBqFRAKncKoUSKMScgDB8z3ye0G\n",
       "gkFg7FgReXkiNm4UsWWLjIIC6/ebl2dunh471voziNchOZ57RoEZfeeaOsujVVAi19Xi4mKMHDkS\n",
       "77//PnJzc3Hvvffi2WefTcn5GGP44osvsGXLlsxEk8EZhbZt2+JXv/oV8vLy0KlTJ3Tq1AmXXHIJ\n",
       "nnvuOZw8eRLZ2dkqtzuRfgAjtNScVFeKadx1u91qsoYxps4ljZ0jjdBWnZOZM6z+xu9TVO2MykYE\n",
       "SZL1jcuCdY8D4zgTrSgcEhAORcd6y/6PGLeDKMQkGW50TLbq8dK/b0llJ6RrbaFVMnK5XOjfvz9a\n",
       "t26N1157DSdPnsQFF1ygKnglgsy4fXahWdKNCPfddx8GDx6MGTNmAFC+9Hv37sWSJUvw0UcfwWaz\n",
       "YcKECZg4caLaREn0lnA4rA6SiUiEATitFB9AL69qlCFtjDtyPLBSs0klxo9fAcCG9etPqtv69GmF\n",
       "PXv0g1V+vhNeL4+6Ov2gP3x4Eb76Kjqo9uzpQMeOLhw5oizWy8tzAMho1w7o2lVCdrYEu53h88/N\n",
       "C+6RI2VYjXFDhoSwdat+29atTvTqlZh6iNYhmWhJWs6/cX+talZT950YKXWyLGP+/PlYuXIl3nnn\n",
       "HZ2Rk5Yr3Bh0794dX331Fdq2bdvoY50FaFEl7gRxRs5TZWVl+Ne//oVXX31VVXZ777338MYbb8Dt\n",
       "duOGG27AxRdfDJvNhnA4rPqSaOlI9YGe+XTTf4LBIEKhkDquEF0yFAqplJnGSmlTdSUV1c97n1NU\n",
       "7AJ1+qpCKBACi4yL4WA4IlHKNI7LIjjGQZKjc4bdYVdfd7qdKj0JAHibEjiQ8hEdy+GyIxwS4HDZ\n",
       "dUHCE79qmGqs/Wy1VC/teE7qVVSVSAeM1algMIgpU6bgb3/7G8aMGQMAqsdTomgG43aLGoubdZBQ\n",
       "H2RZRmVlJZYvX47ly5ejqqoK559/Pi6//HIMHDhQVaUwLtIa4o43pkE5FddEC8X6SpDagEEQBJ28\n",
       "amMaaSmTnC7/BQB4+eW9mDVrk25bSUl7rFv3o2nfkpK2WLcuGjz06ZODPXs6xTz2uHEdsXmzDYKg\n",
       "VA4IY8Y4sWaN/loYk5GXB/xoOK3NJsHpFHT9CAUFwN69jRvMre6Z1kPDqtGvqWCUWJVlGS+99BJK\n",
       "S0vx5ptvpk32r6ioCK1atQLP87j99ttx2223peU8Zwha1MSUIM6qeYqSVa+++ipWrVqFCy64ANdf\n",
       "fz169uypUmEbWoBTI2m83P1kQQknq4owCReEQiEIgpB0rwWNH6mi5N77XMAUIABKkAAoVQEKEoSw\n",
       "oAYGVG0wOi5zTOkx4HgOHMfA8Tx4GwchEhBwjEEQRDVg0P49/fzcvYl5CFCSiD5b7RwdCARSRi2L\n",
       "BQoMPR4PZFnG7bffjksvvVRNuDYGzWDcblFjcYsNEozw+Xz45JNPsHTpUuzcuRPDhw/HpEmTMGbM\n",
       "GJXvSA1SsTLxlA1JR4NyQ6DSIA0e8Ub4Wh38xlRPmuraT54MoWfPpfD7oyVip5ODx+NEdbVeis5u\n",
       "ZygoyMWBA8qKf9CgQmzbZv3eGAM6dOiC48fNr3Xs6MKxY/ptffsqzcpGnHuuhJ079XSja6/l8cor\n",
       "qftMjPeMMvNE8WnKIMEqQHjuueewc+dOvPrqq2mV2j169Cg6deqEyspKXHzxxZgzZw7GjRuXtvOd\n",
       "ZrSoiSlBnLXzlCAIWLlyJV577TX8+OOPuPbaa3HllVfC7XbXuwCn5t50Vg0Tye5rg5tEei0osZRK\n",
       "355fPmYWrQjUBVWTtHBQUAzSgmFwNg4c45T+A46pgQJ5InAs0ksWI0ggChJHr6coSNDC2JzNGENW\n",
       "VlbaRFfovlPw+Y9//ANerxePPfZYSs7XDMbtFjUWN8uehGSQnZ2NyZMn49VXX8W6deswbdo0fP75\n",
       "55gwYQJuvvlmLFq0SJUAs+pj8Pl8ajakqQME6jkgTelEJg2jDj5lJ/x+P7xeL+rq6iw1k7UgubSm\n",
       "uPa8PAcmT9br6weDEvr0MfcghMMy3G4ZPA8MGpQXM0AAgIEDcywDhF69OFOAAACxFDzbtDF/Tj/5\n",
       "SWofM7pnVKmipjfyLvD5fKoiRTpBHgxa1/C///3vqKiowLx589LuxdGpk1IVat++Pa688soMvzWD\n",
       "sw42mw1XXHEF3n//fSxcuBCnTp3CFVdcgbvvvhtbt25Vx2We51V/AJ/Pp6P/pAOJ0n9IQIO8VBrS\n",
       "3Aei1FRKbqQK/34gV/d7oC5o2kfboxAOKYkWal6WZRliWIQYFiGEFaU2URQRDoXV/bWSqVysxoMU\n",
       "QUs7AqDK6pJfUip7Q0RRVOdyjuPwwQcfYNOmTXj00UdTFpBkxu2zC5kgwQI8z2PcuHF48sknsW7d\n",
       "Ojz00EM4fPgwrr32WkyZMgUvv/wyKisr1UXxzp071Qjf7/cnbHTWGFCTKy30G/Mgk0KNy+VCTk6O\n",
       "2vwaDoctF59Eb6Jms6ZozgaAmTN7mLbt3HkK2dnmyay8vAajR+fC729X7zFdLutMT36+9TUZaUaE\n",
       "EyfMC/Px41P/mNEEy/M83G63aopDTXDa5ud0fB+NHgySJOGhhx5CdXU1XnrppbQ3TZP5HqBUAf/7\n",
       "3/9i4MCBaT1nBhmkE/n5+fjtb3+LtWvXYubMmZg/fz4uueQSPP/886ipqYHH48HXX3+tVg/TJURB\n",
       "HjzJquYQVz4nJwdOp1OdP+rq6tRxiMYvoqamC8YAIRgI6XoOjI3KJIVqBY5xqrGaFuFgGEJYRCgQ\n",
       "RjDyj5qaQ4H6XZ/jhSAIKu2LxnoKxnw+nyq40pjEkDZos9ls2LFjB5555hnMmzcvZeN5Ztw++5Ch\n",
       "GyUAWZZx/PhxLFu2DMuXL0dlZSV8Ph+6deuGhQsXqjbyifYxJAtaqKWyVBsLWuMsCogI6ZJgqw8j\n",
       "RnyIXbv0ZeWxYzugtPSEad/RozsiGOyITZusB1CPh4MoFiDiEaRDr14u7N2r35aXJ8PrlSGK+vuZ\n",
       "myujri4MQdD+PcPWrS6kEvE2h9fX/NwYWpLRg0GSJDzwwANwuVx4/PHHm6Rp+rvvvsOVV14JQJlA\n",
       "p0+fjt///vdpP+9pRIsqcSeIZjtPeb1evPPOO1iwYAEAYM+ePfj000/RpUuXpJqdG0I66D+Ano4E\n",
       "QPWLSFfj7S8fqzEFCErjsvIYiRFFI8ZYzMDAZlcSRIxTKESSQP4IPOxOm0o34jgGpunlYxwzVRde\n",
       "+H2rpK+loXuinZvD4XBScqoUbNCc8sMPP2Dq1Kl4++23k5I5jYVmMm63qLE4EyQkie3bt+OKK67A\n",
       "yJEj4XK5sHv3bowcORKXX365tla9QwAAIABJREFUqgOvXaClUlFIa1KWLv+F+kDN2cSFb2pzunA4\n",
       "jFde+Qb33bddt71VKztkmUdNjaDbZrMVIBBgKCjIw9695kBh9Oh2WLvWvJAvKACOHDFvHzFCxMaN\n",
       "5vs3YoSEjRv1E84dd/B46qnUZcooQNA6GSfyt1qDumQa1o0BgiiKuPfee1FQUICHHnqoyVWVWhBa\n",
       "1MSUIJr9PDVv3jw88MADuPLKK7Fx40aMHz8eN9xwA7p37x53s3NDSFeAoAWNX/RzMgvaeBAIBPDL\n",
       "R726bdogQfFI4CAKGvnTCG2H0wRa2v4CnufVIIF6FADoggTVtE3zd40JEOjzcjgccQlAUP+CMXis\n",
       "b3w3KhmFQiFcddVVeOihh/CTn/wk6ffejNGixuJmaabWFHjwwQcxe/Zs1ZZcEASUlpZi6dKlePDB\n",
       "B9GjRw9MmjQJF110kWrgRgGD3+/XLdASdSImHeVUeBAkCpJ31WaxrQzB0mVOR4vU66/vidmzv0FV\n",
       "VTRbdOpUGOPGtcbq1dFqwoABnbBmjQxARmXlKfTt2wq7d+sDhepq60x/UZEdR45YvWK9JrHZzAHI\n",
       "hRemrsKiVY9KRjHIaLxHwQJN2nTPYk3YRpM2QRBw5513on///njggQeaXFUpgwxaAgKBAP7973/j\n",
       "s88+Q79+/RAOh7FixQr88Y9/hM/nw7Rp0zB58mTk5OSozc6BQCAhtaF09QdoQXOXVrqTTE39fn/K\n",
       "qiHkaKzbFlE2kiVZVzmQZQmMcWqAIEsyEMfpw8FwRBJVBOe06SRVOY5BBGB3Nu5zJDESm80W93iv\n",
       "NZcjOVWfzxdTThVQPi9aT8iyjHvuuQfXX399JkDIAECmkpA06tN6lyQJu3btwpIlS/DJJ58gOzsb\n",
       "EyZMwOWXX478/HwAZj8GbcBQX8RPD/zp8F8gJZv6FqkUDNG1aaU6GyOvSpJ/1LDH8zz+9rftePTR\n",
       "nbr93G4eubkuHDsWxKBBrbFtmwfawN/j4dC/fx42bFAW9H36ZGPPntaW5+zb14ndu/Xv12ZTmqHJ\n",
       "gVnzDtG+fRiVldEtLhdw6JALbnfj75PRhyCVII4wVRmsql5GNZVQKITbbrsNY8aMwaxZszIBQvqR\n",
       "+YBjo9nPU1bzjSzLOHr0KObNm4clS5ZgyJAhmDFjBoYMGaLLKAPQZZSNSDRbnez7r88VWpIkhEKh\n",
       "ev0B4oG24frWh5VkEQUIBAoSxIiikSRIap8CqRkRqDKgVgh4Xp3HSBlJu4/q0KzBKw/V3w9nhVS6\n",
       "aGvlVImOZLfbYbfb1f4TUjJ67rnnUFVVhSeffDIzpsdGi/pgMkFCmiHLMo4cOYJly5ZhxYoV8Hq9\n",
       "uPDCCzFp0iT07ds3bj+G0+m/ACTX/0CDE3ElAaiDUyLyqrGMwk6cCKJ//+XwevUUnxEj2mL3bh9y\n",
       "c7vg8GHrPoSSklx8+y2PoqJOKCszT0TdujEcPGieMAcPlvH110qw0KGDDI9HhsMhIzdXRFWVEjwo\n",
       "akgMF1/MYcmSxk+6RpnRdEMb6AmRBgsKJHJzcxEOhzFz5kxceumluOOOOzKTSdMg8yHHRoufpyRJ\n",
       "QmlpKV555RVUVFRgypQpuOaaa9C6dWvdGMzzvI7eo6Uvag0PU4lETN+sFrTx0pGs/Bam339Ytw+p\n",
       "EjGOmYIEUjziLehGLCJ9SnMPBQmiRgZV3Y9xsDujJI1kggTtfJfK8dUopwooc3vr1q3xySef4LXX\n",
       "XsOiRYuanMJ8lqFFjcWZIKGJUVNTg48++ghLly5FRUUFRo0ahYkTJ6KkpAQ2m82yj4Eyty6XK22Z\n",
       "nljQ9j80xg3TKlutpbfEyhhp/R+sBsyHHtqGJ57YZfq7Sy7phf/+t35puM6dXSgs7Aqv145vvmEI\n",
       "BKLHHjvWjtJSHk6njIICEe3by3A4AI+HYccOCUePAlrluTFjRKxZo2xwu4EePRhuv92Gm25qXEBn\n",
       "VBFqSlA2i3Tan3nmGbzwwgsoKCjAuHHj8MgjjyAvLy9l5xNFEcOHD0eXLl2wfPnylB23maBFTUwJ\n",
       "IjNPaXDq1Cm8/fbbWLBgAdq1a4cbb7wRF1xwATiOM/HVBUFIe+LJ6NgcL2Lx663moFj9FNogIRRQ\n",
       "qKmMcRAj1QQyVLMCNS7TfhzPQxJFME31gOM4NUhQt2mqEa8+0j7hObM+A7tUQZIkeL1e2Gw2zJ49\n",
       "G++99x4cDgfeffddFBcXJ33cFjKGt6ixOBMknEaEw2GsXr0aS5YsQVlZGXr37q32MWRnZ0OSJBw4\n",
       "cABt2rQBgKT7GJJFrAx+KlCf6zNdG/U/cBwXU97VqpowZkwn7N3LQxBclpKkhLFju6K0VLkmmw0o\n",
       "KODh8TAwBjidbnz/vYzKShmyrJyX54G8PA7V1eZjFRaGsX9/9HFhDNiyhUOHDmLS940mi9MVIFD2\n",
       "jzSzvV4vbr31VnTq1AmHDh1CaWkppk2bhv/85z8pOefTTz+NTZs2wev1YtmyZSk5ZjNCi5qYEkRm\n",
       "nrKALMvYuXMnXnnlFZSWluKSSy7B9ddfj27dusHn8+HUqVPqQpR47KkOFFK14KVqiFVzNvkEWVEx\n",
       "KUigAAFQgoRwKASOcRBFEZIggrPxkCJNzJyt/sZlChLoerRBgpGu9M/fuxNqJqdqSGMScg3BqGRU\n",
       "WVmJW265BV27dsWHH36IESNGYMWKFUkdu4WM4S1qLM4ECWcIJEnC9u3bsWTJEqxatQo5OTnIzc3F\n",
       "+vXrUVZWBo/HY5IgjaePIVk0lMFP9bmM12az2dRyc0P+D088sQsPPbQNADBkSFts385DFIERI1ph\n",
       "40brakJ2Ng+7vStOnjR/xc8914GdO80VmyFDOGzdaj5WUZGMffv0jXLDh3P48ktPzGtriHJlbBJu\n",
       "SlAFQZIk9d6fPHkS06dPx913361K2Pl8Phw8eBD9+vVr9Dm///573HTTTfjjH/+Ip59+ujlnoZJF\n",
       "i5qYEkRmnmoAoVAIS5cuxfz58xEIBOD3+3HuuefiqaeeUuk9Vs7OjUGihmzxgMZT7fsVBAEOhyMm\n",
       "XWrq3fui7ynSYAxADQq0xmrKOSTwkWoE7Uvvn4IESRTVn2m7looEKJWIeY/mm95vLBXAplCXMvY6\n",
       "hMNhXH311fjDH/6A8ePHIxwOY/fu3Ul5F7SgMbxFjcXNRq/wo48+Qt++fdGrVy/8/e9/P91vJ2Fw\n",
       "HIfBgwfjwQcfxMcffwye5/HVV19h4MCB+PnPf46nn34a3377rWpSQ+oQWmfkVBnrEE+VHJzTzTmn\n",
       "gMftdqsGPNRwR41V9V3b3Xf3wTnnZKN//zzs3WtTaUAbN57CuHHW9Kzi4o6WAQIA5ORYNwa7XNaf\n",
       "Q+fO5uP87Gd2y2ujJjRyzDQ6WlMGPxQKqWZ2TQntJEL3vrq6Gtdccw3uv/9+NUAAFJfyVAQIAHDv\n",
       "vffiiSeeyEioZnBW40ydhxwOB6ZOnYrFixfD6XSipqYGX3/9Ne6//36Ul5er45PW2TkQCCRtzkXj\n",
       "dqqTHDSeZmdnq4kzIFqxSOT9ypIMSRQhy5L6jyAJSoVBDAmQhKjzsiRIKlVJfU8xHJeFsKB7v/T5\n",
       "BoNBk1syJeWcTmda+85IycjtdkOWZdx3332YOnUqxo8fD0DpGUzW3CwzhjdPNIu7KYoi7rrrLnz0\n",
       "0UfYtWsXFi5ciPLy8tP9tpLGn/70J+Tk5GDHjh1YtmwZli1bhp49e+Lxxx/H+PHj8ac//QkbNmyA\n",
       "3W5HTk6OOhAHg0HVGZl4nImCnHrjyeCnA6IoqhSb3NxcdaEcCoUsXZ8BwOnk8eSTw3DwoBM+n37B\n",
       "vnp1NUaN0gcKHg+PXbusB+LcXGZZLcjOBrZtsw4qvvtOX61gDLj6avPxtY7WHo8HHo9HrZjU1NSg\n",
       "trZWvXdE8WlKaKtHFMwcP34c11xzDR5++GFcdtllaTnvihUr0KFDBxQXFzeJS3kGGaQDZ8M89Npr\n",
       "ryEYDGLjxo1Yu3Ytpk6dijlz5mDChAl4+eWXVaWbrKwsyLKsjkmJJKC0DcTppMwEAgHYbDZ1DqT3\n",
       "W1tbq0u8vPucYgZGTcuyJEMMKQt9SZJ1/0RRhCTVf51WQYHVWL3gyS6mfZxOp8kt2ev1wuv1guf5\n",
       "tPYcktwsJX9efPFFZGdn4xe/+EWjj50Zw5svmgXdaN26dXj44Yfx0UcfAQAee+wxAMADDzxwOt9W\n",
       "0vD5fDFlz0KhEL788kssWbIEGzZsQP/+/TFp0iSMHz8ebrc7Lq5/LKRTZjMeNMTBt6LuUPmW4zjc\n",
       "cMMOLF5cafo7jgPOO68t1q1TeKnjxnXF6tXWC/BRo5woKzNfe0kJh3XrzPufe66MnTv1VKNRo3h8\n",
       "+ml2PJesgvovKPiJl5aUKlCAAED97h05cgTTp0/HU089hbFjx6bt3H/4wx/w+uuvw2azIRAIoKam\n",
       "BldddRXmz5+ftnOehWhRJe4EcUbMU2fDPETUIqPT8cmTJ7FgwQK89dZbKCgowI033ohx48aBMZaQ\n",
       "s3NTUWaoamCcJ7V0JBL+cDgcuPrOb3XHIKqRmsmncdew2NfKmaq9CDZeJ32q/F2UekR459nCBq9F\n",
       "O+6TC3U6TEnpvtDcumrVKrz44otYunRpSvrdWtgY3qLG4mYRJLz33nv4+OOP8dJLLwEA3njjDaxf\n",
       "vx5z5sw5ze8svZAkCVu3bsWSJUvw2WefoU2bNpg4cSIuu+wytGunyK7F28dwuptkE1VQ0sqrCoIA\n",
       "WZZx6hQwduzXqKoKm/ZnDBgzpg327+dQXZ0Pv998TI4DOnXKweHD5tf69OGxZ4/5cRg1SkRZmb6S\n",
       "MGeOCzNnxh9kGXsAACSlBJUsKKOlbRA/ePAgZsyYgX/+858YOXJkSs9XH7788ks8+eSTzZnPmixa\n",
       "1MSUIM6Ieao5zEOyLGPbtm145ZVXUFZWhgkTJuD6669H586dTc7O5GVA80h9DcSpBHm2kLZ/LGjf\n",
       "LwDc8H+KM6YYkeMWDT0JjGPqz9S8TEGCTtEohUGC9lqAqBFcPAFZvDDel927d+POO+/Ehx9+iNat\n",
       "rT2CGoMWMIa3qLG4WYjhtlSddo7jMHToUAwdOhQPP/wwDhw4gKVLl+K2225DOBzGxRdfjEmTJqFn\n",
       "z54AoMqrEuecstS02D5dTbKkoJSIAgZl2imgEUURTqeA558vwrRpe3TypMp5gNLSE7jooh74/ntg\n",
       "927zMUeMyML69ebt/fpxKC83r0NatZKxbZv+RG63NdUoFrQZfG3/B8/zOpWnWG7djTGoo/P7fD6V\n",
       "BsUYQ0VFBW655Ra8/PLLGDx4cNLHThYt9XnO4OxGc/jeMsYwePBgPPfccwgGg1i8eDHuueceAMD0\n",
       "6dMxceJEnbMzOSVTBtnpdKY1QKBFdDy9ckTvIfdhCg60oKBAliXIItSFviQojclihNXKOBmcrAQC\n",
       "YkiAxDEwjlMVjZTjKDvz9viWVWQepw12yKhU65ZM6kjJmMvR/ELqVSdOnMAvf/lLzJ8/Py0BAqE5\n",
       "PAsZKGgWPQmdO3fGoUOH1N8PHTqELl261PMXzQ+MMRQWFmLWrFn4+OOPsWjRInTr1g2PPPIILrzw\n",
       "Qjz44IPYtGmTro9BkiT4/X6EQiE1WEi2US0Z0ABGlvCNyZATn3PSpM548MEiy31GjszHqlVB7Nlz\n",
       "CsOGhTBsmAyXK5JFYsAPP1gP7h6P9YA3cKCMyPpexdVX25GbG79JXDwO2pS1y87ORm5uLpxOp9pc\n",
       "Xltbq3oZJMoFpQyTNkAoLy/HLbfcgvnz55+WAOH8889vztJ5GTRjNLd5yOl04tprr8UHH3yA559/\n",
       "Hnv37sUll1yCBx54AHv37lWbnWkeAaJ+OOlAOBxWq92JzBWUUFo+d4C6TRREXdMywfi75fEiAUIs\n",
       "iGGhwSqCIAgIBAIxpcVpTCYhD1EU4fV6E+oPoQo1Y0wVA5k5cyYeeeQR9OnTp8G/TxaZMbx5oVnQ\n",
       "jQRBQJ8+ffDpp5+ioKAAI0eOxMKFC1OmvHK2IxgM4osvvsCSJUtUxaQLL7wQL7zwAn7+85/jpptu\n",
       "0lF3msKPIR4PhMbg/vv34l//ik7YBQVZ8HrbwevVf6WdTqBnTycKC7NRU2NXPREYk9XX6+oAQQBE\n",
       "UYYsKwGFwwE4nSIEgcHn43DgAMOJEwxlZdkYOLDhz4wW+Y0xMrIyqNO6ddc3kWqdVp1OJxhj2L59\n",
       "O+666y4sWLAAvXr1Svj9ZJBWZFJzsXFGzFMtYR4SRRGff/45Xn75ZRw9ehSTJ0/GokWLcOONN2Lq\n",
       "1Kmqm28iTsnxwMpNOVlMnPE1JNFa/tTYlEw0IwoKOIPsqfK/fpzleR7vP98z5vkpOZNo30Yi5nJA\n",
       "1MSOqEy/+c1vMHDgQNx1111xnzMDS7SosbhZ0I1sNhv++c9/4tJLL4UoirjllltSOjDPnDkTH3zw\n",
       "ATp06IDt27en7LhNBafTiUsvvRSXXnopJEnCihUrcMstt6BHjx747LPP4HQ6cdlll6mmbURtCQaD\n",
       "afFjSMUCuSE8/riyyP3Xvw4hJ8cGlysfR46YnTWDQWDfvhCqq7Nw7FjA9PrIkQ5s2GD+uzFjGL74\n",
       "Iro/Y8A117gTChC0C/RkQGpJ9dGSKGjQ0pK05ydt8U2bNuH//u//8O6776KwsDCp95NBBi0ZqZqH\n",
       "zuT5hud5XHTRRbjoootQWVmJiy++GIFAAJ9//jm6deuG0aNHIysrS50/iI7UGG69KIqoq6tDVlZW\n",
       "2vrlZEkC4zhd0MAZ3i9n0XdQX0XB8jyR6nEyUqeMMZU2pKUj0XYtHYk+f6IyvfTSS+A4DnfeeWdC\n",
       "58wgg2ZRSUg3Vq9eDY/HgxkzZpxxg3aiOHToEEaNGoX7778fd999N/bt24dly5bhww8/hCiKuPTS\n",
       "SzFp0iR0794dQLSPgUqc2gbaZBa3pLJA3Mt045VXvsfcuWFs3WrmoxJKSnKxbp35WgYMsGHnTgnG\n",
       "R8TjAbKzwzh+XF+W/uST9hg9uv5raqrrJ5UPuncA1EkkEAjA5XKp51+7di3+/Oc/47333kNBQUHa\n",
       "3lMGjUKLyl4liGY1T50t881vfvMbbNu2DStWrMCOHTswd+5cbNq0CZMmTcL111+P/Pz8BpudG0K6\n",
       "mqEnTN8c7Ucw0KNo4c80Tcv0O+M4U7Cgb2DmsORFayqPtv/LqC6VLEjAg3o1aG4mKpPNZsPnn3+O\n",
       "OXPmYPny5Wn1YGhBaFFjcSZIiBP79+/HFVdccUYP2vFAlmVs3LjRpFgjyzJOnDiBDz74AMuWLcPh\n",
       "w4cxbtw4XH755Rg6dCg4jtMFDIlQWwhUMk6nPJ4V9uwJYdas41i92ixpNGiQGzt22GGk0TqdQKdO\n",
       "PPbvNz8CY8cylJbqqw4TJ7rw7rvt6n0fFCA0tcQs0ZKoUQ5QFiJVVVVo164dnn32WSxevBgdOnRo\n",
       "sveUQcJoURNTgmh289TZMN/s3LkT3bp1Q05Ojrqtrq4Oixcvxuuvvw673Y7p06djwoQJqjNyIs7O\n",
       "5HvgcDjSklC5dNomU4BAsAoUtPQiK2lUwtKXzNUjo9NxOqrnsiwjGAwiGAxClmU8//zzKC4uxuOP\n",
       "P44PP/wQbdu2Tfk5Wyha1FicCRLixNkwaKcSfr8fn3/+OZYsWYItW7ZgyJAhmDRpEs4//3y1cdbK\n",
       "jyGWAsPplFgFlPLrp5+exOuvh/Dxx3Xw+2V07epAXZ0b1dXmr3lJiR3r1omm7YMGMezYEdAFFW43\n",
       "w/r1+Sgqin1dpytAImgDFJvNhk8//RT/+te/8L///Q8DBw7E5MmT8bOf/QwDBgxo+GANIBAI4Pzz\n",
       "z1c5sT/72c8we/bsFFxFi0aLmpgSRLObp872+UaWZXz33XeYO3cuPv74Y4wdOxY33HAD+vTpo+PW\n",
       "A1ADBu28YaW6lg6IoojLrtts+RqpFwHm3gTAmn607JX+lsfS9gek61roM7PZbJBlGX/9618xf/58\n",
       "5Ofn44477sB1112H9u3bJ3TMzFhuiRY1FmeChDhxtg/ajYEkSdiwYQOWLl2KL7/8Ep06dcLEiRMx\n",
       "YcIE5OXlAYjtx8BxnM7psaklVgFzgOL3S9i8OYC9e2WUl0s4cUKCzydDEJTegs6dOVRGPNkUiVYZ\n",
       "NTUSBEHCgQNBHDumfyzmzMnDzJmemOenHoHTFSBYBSjLly/Hiy++iLfeekulDASDQfz73/9OyTmp\n",
       "yVAQBIwdOxZPPvlkWg3ZWgBa1MSUIJrdPNWc5htBEPDJJ59g7ty5qKqqws9//nNMmTIFHo/HRJWh\n",
       "6gKp8qRD1IJgpDJdcs1G3esUJMQKENT9NIGCVZBA439jFfzqg7FSIQgCrr32Wtx1111wuVyYN28e\n",
       "LrroIsyYMSPhY2fGchNa1FjcLBqXM0gvOI7DqFGjMGrUKMiyjIqKCixduhQzZswAYwwTJkzApEmT\n",
       "0K1bNwBQm6rIIAwAsrKy0jZA1gcqv2oDlKwsDmPGuDFmTOLHUzJkAWzaFMTq1SG0bcvhuutsEEXR\n",
       "0rPgdFdQjAGCLMt47733sGDBAixduhQ5OTlqI2Iq4Xa7AUB1PqWm+Az+f3v3HhTVfcUB/HtxDbsB\n",
       "0ZohPlhbjEqwmoqIEjUiRRNcFkyoOpF3ScFUjYmjMWnUNrVkRmtJM0M0JiYgYtUomO6yKAQxPoL1\n",
       "FbBGkUqjooivaMNjWR67e2//yNwtUBD2eXf3ns9//LP3tzBzDuf+fud3CBEXiUQChUIBhUKB77//\n",
       "Hn/7298QGxuLgIAAJCUlITQ0tEuzs9Fo7PNaaGt1biDmj36W7ptq1mfEvHKpS4FQsG0sOI7rsmZ+\n",
       "LlFvV53aCv97428yWrt2ram/EADmzJlj8WdTLBc32knoJ3d6s2MrHMfhwYMHKCoqgkajwb179xAW\n",
       "Fobo6GgEBATgd7/7HVatWoURI0aYfUWnLdbGD2mzV4DuPPW5c3Mw3zzG3+st1A5KTwXC7t27UVhY\n",
       "iPz8fJs1z/WEZVkEBwfj6tWrWLp0KTZv3my3Z4mEqN5emcnt8pS75xuWZXHu3DlkZ2fj22+/xfz5\n",
       "8xEXF4ddu3YhNDQUISEh0Ov1FjU798XWR5n4SyL4f6L5HRGGYdDS0mL3HeTuOxU5OTm4cOECPvnk\n",
       "E5vkPYrl/0dUsdgthqnZW1xcHGbMmIGamhqMGjUKO3bssNln19XV4Ze//CUmTJiAiRMnIisry2af\n",
       "bW8Mw8DX1xepqan44osvcPjwYUyfPh3btm3DxIkTcfXqVdTU1MDDwwPe3t4YNGgQBg4cCL1ej+bm\n",
       "Zmi1WrS3t9t8+A6/9Wo0Gu36Bocf0iOTyUwD6hiGQXt7O5qamtDa2mpKFo6m1+tN28R8gZCdnY0v\n",
       "v/wSBw4csGuBAPy4+/TPf/4Tt27dwokTJ3Ds2DG7Po8Qd2HLfOOs+cXDwwOhoaHYvn07jhw5Aj8/\n",
       "P8yfPx/btm3D7du3IZFITIPE9Ho9mpqaoNPpLBoa2VnnAWO26nXgj9d6eXnB29vbdFyKH1RpzxdE\n",
       "RqMRra2tpgFzJ06cgFqtxtatW22W9yiWixvtJAjs7t27uHv3LoKCgqDVajFlyhSoVCqXHcBz8+ZN\n",
       "zJs3D/PmzUNsbCw0Gg2+/vpryOVyKJVKREZGwsfHB0DvfQzWzGPgpzgDsOt29aOezzd5eXp6mq4h\n",
       "dcSAOh7/Zok/4sRxHLZs2YILFy5g586dDu+LyMjIgEwmw5tvvunQ57oZUb29MhPlqV64Sn7RaDRY\n",
       "smQJcnNzcezYMZSVlSE8PByJiYkYO3bs/zU7d58L0F+dd5ftfZSJYRgwDGOK/7YcLgf8f0/FtWvX\n",
       "TDM2zG1Q7i+K5QBEFoupJ0Fgw4cPx/DhwwEA3t7eGD9+PG7fvu10Qby/bt++jVdffRVvvPEGAGDW\n",
       "rFngOA41NTVQqVRISEiARCIx9THI5XIAXfsYLJ3HwAdne01x7s/z+STEb/16enp2mVnAJw/+2JWt\n",
       "BtTx+B4I/ogTx3HIzMzE9evXkZeX55C+iAcPHkAikWDIkCFobW3F4cOH8e6779r9uYSQrlwlv9TW\n",
       "1kKtVmPatGmIjIxERkYGiouLsWHDBjQ0NGDx4sWIjY3t0uzc1tZm1mRnvkHa3gVCW1tbl54KvsCx\n",
       "1XA5/jk6nc40XK2xsRFpaWnIycmxaYFAsZzQToITqa2txezZs1FVVWVqQHI3HMfh/v370Gg00Gg0\n",
       "ePjwIcLDwxEdHY2JEyf2OI+BLxgedS7VEVOc+/pefKP2o5IQ38fQeUBd5z4Na9bdvUBgWRbvvfce\n",
       "GhoasHXrVof1RVy8eBEpKSlgWRYsyyIpKQlr1qxxyLPdmKjeXpmJ8lQ/uGp+uXfvHvLy8nDgwAFM\n",
       "mDABycnJmDJlChiGMe0usCz7yH+++RdQ9u4P6+uq087zanqalNwf3W8yMhqNiI+Px29/+1tER0fb\n",
       "8utQLO+ZqGIxFQlOQqvVIjw8HOvXr8dLL70k9HIcpqWlBaWlpVCr1bh8+TKmTp0KpVKJmTNnYuDA\n",
       "gf2ax9B5irEQPQDWHHHiJ5LyOw387om5iaP7LU4sy2L9+vVgGAbvv/++IDdLEZsSVWIyE+WpPrhD\n",
       "fmFZFqdOnUJOTg6qq6vx0ksv4eWXX4avr69pJ7qnyc58frD3DXPmXHXa06Tk/u6IdD4yBQDr1q2D\n",
       "XC7H6tWrBel/EyFR/ZKpSHACer0e0dHRUCgUWLlypdDLEYzBYMA//vEPqNVqnDx5Ev7+/lAqlXj+\n",
       "+efh4+NjOrbTuY9hwIAB0Ov1kEqldpnK2RdbHnHq6fv1p0+jra3NtI3O78SsXr0avr6+yMjIoALB\n",
       "PYgqMZmJ8tQjuGN+aW5uxv79+7Fnzx4MGTIESUlJiIiIwIABA7pMdpZIJDAYDJDJZHadcs/fJGdJ\n",
       "IdK536K/OyJ8IZKXl4fTp08jJyeH4rzjiCoWU5EgMI7jkJKSgieeeAIffPCB0MtxGhzHobq6GiqV\n",
       "CqWlpZBKpVAoFFAqlRgxYgQAoLq6GiNHjjQFR0v6GKzBsix0Op1dpoJ2vl6Vv9Gj+/fjm6Q7FwgG\n",
       "gwErVqzAuHHjsG7dOno8u5ivAAAQYElEQVSz5D7oD9k7ylO9cPf8wnEcrly5guzsbBw7dgwRERFI\n",
       "SkrC6NGj8cMPP6C5uRk/+clPLD7a0x98A7EtrjrtvLvQ147IyZMnsXHjRhQXFwvygkzERBWLqUgQ\n",
       "WHl5OcLCwvCLX/zC9A/dxo0bMW/ePIFX5jw4jsOdO3eg0WhQVFSEhoYGjBs3DhqNBiUlJRg/frxF\n",
       "fQzW4HsgBg4cCE9PT7v/M979+/G3FrEsa3qrpNfrsWTJEkybNg2rVq2iAsG90B+zd5SneiGm/KLX\n",
       "61FUVITc3FxotVo0NjYiLCwMGRkZFh/t6QvHcdBqtXjsscds+o9659kLnXdE+B3z2tpapKSkoKio\n",
       "CMOGDbPZc0m/iCoWU5Hgxtra2jB79mxTM9WLL76IjRs3Cr0sq/3lL3/Bpk2bEBUVhStXriA0NBRK\n",
       "pRLTp0/vdx+DNTr3QAjxBoe/G5tlWXAch7feegs/+9nPcP78eSgUCixfvtxmBUJdXR2Sk5Nx//59\n",
       "MAyDJUuW4PXXX7fJZxOziCoxmYnylJ25Ui4xGo1YuHAhrl+/Dk9PTwQFBSE5ORlBQUEA0O+jPX3h\n",
       "e9E8PDzselkGn28AYOvWrWhpacGpU6fw8ccfY9KkSRZ9JsV1q4gqFlOR4Ob4c5IGgwHPPfccMjMz\n",
       "8dxzzwm9LIuVlZVh2bJlKC0thb+/PwwGA8rLy6FSqXDq1CmMHTsWSqUSc+fOhbe3d6/n/PmCwdzA\n",
       "LnSB0P0WJQAoLi7G9u3bUVlZicGDByMmJgapqakWJ5DOXOWedREQVWIyE+UpB3CVXLJ792589NFH\n",
       "KCsrg6enJ8rLy5GdnY3vvvsOv/rVr/Dyyy9j6NChjzza0xf+qlOWZe06j4eP9wAgk8lw/vx5bNiw\n",
       "AWfPnkVwcDDS09MRHx9v9udSXLeKqGIxzUlwc48//jgAmEbGDx06VOAVWWfOnDk4d+4cBg8eDACQ\n",
       "SCQIDw9HeHg4WJZFVVUVVCoVPv74YwwaNAgKhQJRUVGmLVn+nL9OpzN7HgPfnMYPr3G0zlff8des\n",
       "arVabN++Hb/+9a9RUlKCS5cuobCwEPX19TYpElzlnnVCiH25Si6Ji4tDTEyMaap8WFgYwsLC0NjY\n",
       "iM8//xyJiYnw9fVFcnIywsPDIZVKTUd7us8x6C0n8MeAervq1Fba29u7vBBSqVSIiIgwHb2tqqqy\n",
       "6HMprpP+op0EN8eyLIKDg3H16lUsXboUmzdvFnpJDsFxHOrr61FYWIiioiK0tLRgzpw5UCqVCAwM\n",
       "BIAux5L66mPgCwRbNKdZ+n26X7Pa2NiIhIQELFu2DAsXLrT7Glz1nnU3Iaq3V2aiPOUA7pJLOI5D\n",
       "VVUVsrOzUV5ejhdeeAGJiYn46U9/2q/JzuZcdWqN7s/Zs2cPjh8/jp07d9r0uRTXzSaqWExFgkg0\n",
       "NjYiMjISmzZtQnh4uNDLcbimpiYUFxdDrVbj6tWrmD59OpRKJUJDQyGRSB7Zx8D3ANj7nu3e8AUC\n",
       "wzCma1b/85//ID4+Hm+//TaUSqXd1+AO96y7OFElJjNRnnIgd8olHR0dUKvVyMvLQ0dHB+Lj4xET\n",
       "EwNPT88em50ZhrH4qlNzdL/J6MyZM/jTn/6E4uJiSKVSmz2H4rpFRBWLqUgQkYyMDMhkMrz55ptC\n",
       "L0VQer0eJ06cgEqlwpkzZxAYGAilUomIiAh4eXl16WPQ6/UAYLrFyJI+Bmv0NIfh/v37SEhIwIYN\n",
       "GzB37ly7r8Ed71l3QaJKTGaiPOVg7pZLOI7DrVu3kJubC41GgylTpiAlJQXPPPMMgB9jIH/0RyKR\n",
       "QCqV2m1yM3+lKn+sta6uDomJiSgsLDRd/20LFNctJqpYTEWCG3vw4AEkEgmGDBmC1tZWREZG4t13\n",
       "38WcOXOEXprTYFkW3377LVQqFY4cOYIhQ4YgKioKCoUCe/fuhUQiQXp6uukKUnP7GKxdW/c5DHfv\n",
       "3kV8fDw2b96MsLAwuz2b5+73rLsQUSUmM1GesjMx5RKWZXH8+HF89tlnuHnzJhYsWICoqCisWrUK\n",
       "WVlZGDx4sEXNzv3BvxTiCxGtVovY2Fh8+OGHCA4Otskz+OdQXLeYqGIxFQlu7OLFi0hJSQHLsmBZ\n",
       "FklJSVizZo1Nn2E0GhESEgK5XA6NRmPTz3Y0juNQV1cHlUqFLVu2QKvVIj09HbGxsRg3bhyAHxMI\n",
       "fyTJnvMY+DkMfLJgGMZ0bV1WVhZCQ0Nt9qxHEdM9605OVInJTJSn7MweucQVckdDQwN27dqFTZs2\n",
       "ISAgAGvWrEFYWBgYhukyx6A/zc596X6TEcuySElJQVxcHBYtWmTLr0Vx3TqiisVUJBCr/PWvf0VF\n",
       "RQWam5tRWFgo9HKsxrIsVq9ejaNHj2L//v345ptvoFarcePGDcycORNKpRJTp07FgAED7DaPoadB\n",
       "bdeuXUNqaiq2b9+OyZMn2/AbExchqsRkJspTLshVcseKFSvwr3/9Cxs3bkReXh5Onz6NefPmITEx\n",
       "EX5+fv1qdu6PtrY2GAwG001GGRkZ8PLywvr162kwpnMR1R/Dfq35xO3dunULhw4dQlpaGvooNl2G\n",
       "0WiETCbD0aNHERAQgPj4eOzbtw8nTpxAZGQkCgoKEBERgeXLl6OkpARGoxFeXl7w8fExNbtptVo0\n",
       "Nzejra0NRqPRrN9N5wKB30G4cuUKUlNTkZubSwUCIcTluUruMBqNGDRoEPLz8xESEoKsrCx8/fXX\n",
       "+PnPf46VK1di0aJFUKvVAH68SlQmk8FoNKK5uRktLS3Q6/X9+n58kcHfXJefn4+bN29i3bp1VCAQ\n",
       "QdFOArHYokWLsHbtWjQ1NSEzM9Npt4xtjWVZVFZWQq1W46uvvoKvry8UCgUUCgWeeOIJAP+bx2BO\n",
       "H0NPg9ouXbqE5cuXY/fu3QgICHDYdyROh/5T6B3lKRfjDrmD4zjcuHEDubm5OHjwIJ599lmkpKSY\n",
       "Zg10nuzM7y701Ozc/Sajb775BuvXr8eXX35pmvVAnIqoYjHtJBCLFBUV4cknn8TkyZOd+k2QPXh4\n",
       "eCAkJAQZGRkoLy/HBx98gNbWVqSlpSEmJgZZWVmora2FVCqFt7e3afBZe3s7mpqaoNPp0NHR0eX3\n",
       "xicKqVRqKhDOnz+P1157Dfv376cCgRDiFtwldzAMA39/f/zxj3/E6dOnMX/+fGRmZiIqKgo5OTlo\n",
       "a2szxX++IVmr1XaJ/fzOsVQqhUQiQX19PVavXo29e/dSgUCcAu0kEIusXbsWu3btgkQiQVtbG5qa\n",
       "mrBgwQLk5eUJvTTBcByHH374AQcPHkRhYSHq6uowa9YsREdHIzg4uMc+BolEAg8PD3R0dEAmk5km\n",
       "OZ8+fRrr1q1Dfn4+5HK5wN+MOAFRvb0yE+UpF+LuuePhw4fYvXs39u/fD39/fyQnJ2PGjBk9Njsb\n",
       "jUZIJBLIZDLodDrExsbi/fffx7Rp04T+GqR3oorFVCQQqx0/ftxlt4ztqb29HV999RVUKhUqKysx\n",
       "adIkREVFITw8HFKpFBzH4c6dO6ZGtaNHj+LChQsYM2YMduzYgb///e8YPny4zdbzyiuv4ODBg3jy\n",
       "ySdx8eJFm30ucQhRJSYzUZ5yUe6cOziOQ0VFBXJyclBRUQGlUonExEQMGzYMRqMR9+7dg7e3Nw4d\n",
       "OoT6+npcvHgRCxYswOLFiy1+JsV4hxBVLHb8+FjiluzVXOXv7w8fHx/TzUFnz561y3PswdPT09Sr\n",
       "wLIszp07B7VajczMTAwbNgyTJk3Cli1bUFpaiqeffhpPPfUUiouL8emnn+Lxxx/He++9hxdffBFz\n",
       "5861ye83NTUVK1asQHJysg2+HSGEWM/a2OasOYJhGISEhCAkJAQ6nQ5ffPEFli5disceewwjR45E\n",
       "dXU1Dh06hLFjxyI/Px/Hjx+H0WiEt7c3FAqFRcPaKMYTW6OdBOLURo8ejYqKCgwdOlTopdgMx3HY\n",
       "uXMnVqxYgdmzZ5uGE3l5eaGgoAAHDhzAnTt3oFarcenSJezZs8dmz66trUVMTAy9ZXI9onp7ZSbK\n",
       "UyLmSjmC4zh88sknePvttxEUFITg4GCMHDkSZ8+exaeffoqCggIcPHgQBQUFFk90phhvd6KKxbST\n",
       "QJyeKze39aSiogJvvfUWiouLMXPmTDx8+BAajQYfffQRjhw5Ah8fHwwdOhQTJkwQeqmEEOL0XCVH\n",
       "1NbW4ve//z2OHDmCoKAgHD58GH/4wx9w9OhReHt7Iy0tDWlpaUIvkxAT2kkgTu2pp57C4MGDMWDA\n",
       "ALz66qtIT08XeklWMxgM+O677xAYGOjwZ9NbJpclqrdXZqI8JWKulCM4jsPly5ft+gKIYrzdiSoW\n",
       "004CcWonT57EiBEj8P333+P5559HYGAgZs2aJfSyrCKRSAQpEAghxN24Uo5gGIZ2iIlLoTkJxKmN\n",
       "GDECAODr64vY2FinaUojhBAiPMoRhNgPFQnEael0OjQ3NwMAWlpaUFpaimeeeUbgVbmuuLg4zJgx\n",
       "AzU1NRg1ahR27Ngh9JIIIcRilCO6ohhPbI16EojTun79OmJjYwH8eI4/ISEB77zzjsCrIkQQojoH\n",
       "aybKUyJFOYIIQFSxmIoEImoNDQ1IS0tDVVUVGIZBTk4Onn32WaGXRUh3okpMZqI8RWyGcgLpg6hi\n",
       "MTUuE1F74403EBUVhYKCAhgMBrS0tAi9JEIIIQKhnEDI/9BOAhGtxsZGTJ48GdeuXRN6KYT0RVRv\n",
       "r8xEeYrYBOUE0g+iisXUuExE6/r16/D19UVqaiqCg4ORnp4OnU4n9LIIIYQIgHICIV1RkUBEy2Aw\n",
       "oLKyEsuWLUNlZSW8vLywadMmoZdFCCFEAJQTCOmKigQiWnK5HHK5HFOnTgUALFy4EJWVlQKvqn9K\n",
       "SkoQGBiIcePG4c9//rPQyyGEEJfnrDmB4j0RChUJRLSGDx+OUaNGoaamBgBQVlbmEtMwjUYjXnvt\n",
       "NZSUlODy5cvYu3cvqqurhV4WIYS4NGfMCRTviZDodiMiah9++CESEhLQ0dGBMWPGuMTwmbNnz2Ls\n",
       "2LHw9/cHACxevBhqtRrjx48XdmGEEOLinC0nULwnQqIigYjapEmTcO7cObt9/pUrV7B48WLTz9eu\n",
       "XUNGRgZef/11iz+zvr4eo0aNMv0sl8tx5swZq9ZJCCHEtjnBFvGf4j0REhUJhNjR008/jfPnzwMA\n",
       "WJaFn5+faUKopRhGVDewEUKIS7JF/Kd4T4REPQmEOEhZWRnGjBnT5a2QJfz8/FBXV2f6ua6uDnK5\n",
       "3NrlEUIIsRNL4z/FeyIkKhIIcZDPP/8c8fHxVn9OSEgI/v3vf6O2thYdHR3Yt28f5s+fb4MVEkII\n",
       "sQdL4z/FeyIkmrhMiAN0dHTAz88Ply9fhq+vr9WfV1xcjJUrV8JoNOI3v/kN3nnnHRuskjgxOnPQ\n",
       "O8pTxKlZG/8p3jsVUcViKhIIcQC1Wo1t27ahpKRE6KUQ1ySqxGQmylPEqVH8dyuiisV03IgQB9i7\n",
       "dy/i4uKEXgYhhBAHo/hPXFVfOwmEECsxDOMF4AaA0RzHNQu9HkIIIY5B8Z+4MioSCCGEEEIIIV3Q\n",
       "cSNCCCGEEEJIF1QkEEIIIYQQQrqgIoEQQgghhBDSBRUJhBBCCCGEkC6oSCCEEEIIIYR08V/nZf/U\n",
       "HxANgQAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0xda6a400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# surface plots\n",
    "fig = plt.figure(figsize=(14,6))\n",
    "\n",
    "# `ax` is a 3D-aware axis instance because of the projection='3d' \n",
    "# keyword argument to add_subplot\n",
    "ax = fig.add_subplot(1, 2, 1, projection='3d')\n",
    "\n",
    "p = ax.plot_surface(X, Y, Z, rstride=4, cstride=4, linewidth=0)\n",
    "\n",
    "# surface_plot with color grading and color bar\n",
    "ax = fig.add_subplot(1, 2, 2, projection='3d')\n",
    "p = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, \n",
    "                    cmap=cm.coolwarm, linewidth=0, antialiased=False)\n",
    "cb = fig.colorbar(p, shrink=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAcwAAAFdCAYAAACO4V1gAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXd8FHX6x98zsy2bkFCsoOipqDSlKaCRplTpCOqB5fA8\n",
       "xMKhvzt7Pc/zvLMiolhPRAVFERQQQZoBAVGiqKhYUEFFEUOS3ezutN8f42xmazbJpgDf9+vl645k\n",
       "MzszO/t9vk/7PJJpmggEAoFAIEiP3NAnIBAIBALBvoAwmAKBQCAQZIAwmAKBQCAQZIAwmAKBQCAQ\n",
       "ZIAwmAKBQCAQZIAwmAKBQCAQZICrit+LnhOBQCAQHGhIyX4oPEyBQCAQCDJAGEyBQCAQCDJAGEyB\n",
       "QCAQCDJAGEyBQCAQCDJAGEyBQCAQCDJAGEyBQCAQCDJAGEyBQCAQCDJAGEyBQCAQCDJAGEyBQCAQ\n",
       "CDJAGEyBQCAQCDJAGEyBQCAQCDJAGEyBQCAQCDJAGEyBQCAQCDJAGEyBQCAQCDJAGEyBQCAQCDJA\n",
       "GEyBQCAQCDJAGEyBQCAQCDJAGEyBQCAQCDJAGEyBQCAQCDJAGEyBQCAQCDLA1dAnIBA0BKZpomka\n",
       "qqridrtRFAVJkpAkqaFPTSAQNFIk0zTT/T7tLwWCfQ3TNDEMA03T0DSNcDiMLMvR30mShNfrxeVy\n",
       "IcsysiwLIyoQHHgk/dILD1NwwGAYBqqqUlpaSl5eHrIsoyhK1GCqqoqqqgCEQqGooZRlGZfLhaIo\n",
       "0f+EERUIDjyEwRTs95imiaqq6LoOgKZpSJKEruvouh4NxdpGUFGUmL81TZNIJBLzM6fxdBpRYUgF\n",
       "gv0XYTAF+y12nlLTNIAYgxYMBolEIkiSRDgcjv7O/hs7FJvMCNppDE3Tosewj68oStQbFSFdgWD/\n",
       "QuQwBfsdpmmi63o0vOo0hqFQiIqKCjweDz6fL+pt2l6obSwNw4h6krbhq8qLtL3R+O+U7YHaeVER\n",
       "0hUIGj0ihynYv7ENpaZp0QIe2xiGw2EqKiqi4Va/3x/9O/t1iqJgGAY5OTmAlfO0/9N1nUgkgmma\n",
       "MQbU6UWm8kadf29j/73TGxUhXYGgcSMMpmCfx/bqVFXFMAwkSYop5AkGgwDk5ubidrv57bff0h7L\n",
       "xjaG8b+3DaDtxdrvmcobTRXStc9NkiRcLpcI6QoEjRxhMAX7NHblq2207P80TaOiogJd18nJycHj\n",
       "8SQ1PM6fZWKYbKMWXxjk9EYjkUiM4XZ6o/HFRXZI2DbMtofsxGlEnccRCAT1izCYgn2SVAU9hmFE\n",
       "C3pycnLIy8tLMC52mDZbRieVEXV6o7ZRt0O6tuGzvU1n4VD8dRqGQTgcjjnn+FaXZN6wQCDILsJg\n",
       "CvYpUhlK0zQJBoOEw2G8Xi8FBQUNakDs87INm42dZ7UNqX0duq6n9EaTGdH4Vhf7PZP1iwpvVCDI\n",
       "DsJgCvYJ7BxlJBKJMQTOyle3201+fn6Mp5fJcevToNhGzSYcDgPgcrlijGiyvGh8gVH8dYBodREI\n",
       "6hJhMAWNGmflayQSIRKJ0KRJk6iHFQwGkWWZJk2axBiiTGkMhsMZ0nW73UClF2l7o7bwgjMvmqzV\n",
       "xZkPtY8Tnxc1DANZlvF4PKLVRSCoBsJgCholySpf7QVd0zSCwSCmaeL3+3G73dVa7G3PtDHn/Jwh\n",
       "XRtnXtTWw3W2usR7o6lCus4eVdHqIhBkjjCYgkZHqspXO39ZXl6etvK1NlQh5NGgJDOikJgXte9d\n",
       "fCg33huNL1IComFvEdIVCBIRBlPQaMik8lWSJAoKCupkwd5XjUB8XhTSt7rYfxMvAQgk5H+ThXTt\n",
       "14lWF8GBhjCYggYnXeVrRUUFoVAIj8eD3++P6r5m8733x4U+XauL3aLibHVJJ7qQrtXFiWh1Eezv\n",
       "CIMpaDAylbKzK1/t19UW+z3s/9/Q1FcY2CkBaJomXq+3yrxodSQARauLYH9HGExBvZPMUNqeSCQS\n",
       "oaKiAkmSolJ2grojXV40mQRgurxoVa0ukUgEj8cT/Vu32y3yooJ9CmEwBfVKfEGPvVDbla+GYdSo\n",
       "8nVfxentNiayKQFo/z4UCkWPZxgGoVAoJiQuproIGjvCYArqhVSVr7quU1FRgaqq5OTk4PV6Uy6S\n",
       "2TQujdFINXaqKwEY3+biPE6qvGiqqS5OQypCuoKGQhhMQZ1iF5eUlZXh9/tjKl8rKiqiUnZNmzat\n",
       "t0XQWVAUDodjvCJhSKtHKgnAZKPRACoqKqolAQii1UXQeBAGU1AnOCtf7WKQ3NxcgJghztXVfK2t\n",
       "QbM9mWAwiNvtjha+2AUvAIFAIG2IUVA1ySpky8vL8Xg8MTnsqiQAoXqtLsmEFwSCbCEMpiCrZFLQ\n",
       "oyhKjaTsarv42fMnDcPA5/Ph8/liPBfTNAkEAuTk5FQZYhTVnjXDvm9OCUCnN5pMAjCZJ5ppSNc+\n",
       "jsfjEa0uglojDKYgK9gLlqqqCYbSlmELhUINUvnqnI3p9/tjik+SYS+qtkGviSSdIJZUbTxV5UWd\n",
       "ue/qSgDax7CVoZzvKVpdBDVBGExBrUlV+arrOsFgEF3XAcjLy6vWJJF4qptjtPOk8bMxbWNXnffN\n",
       "RJKuqv5FQWbURgIwlTdqP3fOVhd7I2dv8Oxwrl1cJD43QTzCYApqjO1t2QYxvqAnEong8/nIy8uj\n",
       "pKSk3hYfe+RXKBSq09mY6STp0vUvivxazahKAjA+L2rfb/s18a0uyY4TDocJhULR39uRBtHqIgBh\n",
       "MAU1IBMpu3hDVR8VqHZxUbxCUH2SSf9iOBxOOoFF5Neqj/N+JxuNZm/mKioqABI2LlXlRe1nys6L\n",
       "2rls0epyYCIMpiBj0hnK2gxxrsl5xC9OdkEPUGWeNJXxdhb/ZHPxS5enc+q6VlXsIsgMZ0hXlmUM\n",
       "wyAnJydrEoAgBnUfqAiDKaiSdJqvmQ5xzoaHmWzxceZJ62rkV13gzK0l03UVFbrZJV1etLoSgPbx\n",
       "nMdK1uqiaVp0SLdoddk/EAZTkJJ0la+1HeJcW5LlSWvy/o1p8cpEBCAbFboNIc7QWKfCZBJCz0QC\n",
       "MNkGxq7Gto9hk2yqi9gA7RsIgylIip1rCwQC5OXlxVS+Zipl5ySbOUxboacmwgf7Islym7Wt0D1Q\n",
       "FueaPHNVtbpUJQHoVI2KLxKyz8f+vFKFdEUUoXEiDKYgBmflq/3/k1W+5ubm1uuX2c7zgeXd1jZP\n",
       "uq9L4GVSMZoqvNhYvb26IhvXmon3H79xASu3nsyLjDfGQNpB3aLVpXEgDKYASF7QY+fXnEOca+rR\n",
       "1cbDdIZ/gRiPtybsrwtOqorRZOFFsBboVALpmVBWBjt3yhx9tIHPl/XL2SdI5f3bG0x705mJBKBo\n",
       "dWn8CIN5gJOu8jUcDgPZ8ehqgjP86/f78Xg87N27N6ve4f7ubSULL9qLr11BWp0KXU2Df/zDw/PP\n",
       "uwkEJA47zOTHHyU6djS46aYwffvqDXGZjQpnrt/3+04imxKAVbW6iJBu3SEM5gFKqspXiG3RAGpc\n",
       "UFObc2voSSb780Jjf9bO1ptMcnTff+9i2LB8fv5Z4rbbwlxxhYqiQCgES5a4mDrVR6dOOo89FsKh\n",
       "RBc9fkPQWD7L6uZFqysBCMQUhOm6HtXPFa0u2UMYzAMM52SOZEOcnZqrbreb3377LSuLTiYhWdur\n",
       "tfs5U4V/s9Gesq/nMLNNVTm699+XGDu2CZoGixfvpmNHA01TMAwZt1tm5EiTIUM0Lr/cx6hROcyZ\n",
       "U0HTponvcaCQyfOV6p7XRALQPp4syzGb4KqmuoiQbvUQBvMAIpXmqz3uyq58dXqU9fFFsgt6Mu3n\n",
       "zBbO8LNYMJIjyzJffaUwalQuoRAUFJiMGHEQbdvq9OsX4bLLguTmVi7ot90W5uyzmzFsWA5vvx3E\n",
       "4zlw72tNn6lMCrriN7xODzJ+SHuy46Qa1B3fLyq+F7Hs3/X4AoBosUe8JJtpmgSDQfbu3YssyxQU\n",
       "FODz+WK+JNnyxlIdR9M0ysrKCAaD+P3+Go39qim6rhMOh6P5JOF1JvLRRxI9e+aiqnD22RqrVgX5\n",
       "7LNy7rwzwo4dbk47rTlLl+aTm5vL3r0+Ro9uxuDBYZo317nhBplAIEAoFIr28tb3Pd5fPlM7pOt2\n",
       "u/H5fPj9fnJzc8nJycHlcsVsOiORSMyzbYd57ePYxtHZBwqVqZjy8nJKS0spLS2lvLw8+vmJ74jw\n",
       "MPdrGouUXTLivdpM+zkhO0OkVVUlHA7jcrliQtQA4XA4upAcyOGqjRtlzj7bz9FHG7hc8NRTITwe\n",
       "63eFhTqFhTrvvy8zYUIOO3ZIvPKKm5EjNW6+WWfPHp3evXMpLJQYOjQcDRMGAoGkXlFd9tI2xOdX\n",
       "H1GLZOpFdkGQvTHOVAIQqt/qEi+8cCAgVbH4HNjbiX2UdIbS3kUqihLdnaZj79695Obm1trrCwaD\n",
       "SJKEz+eLmSTi8/mqtViWlpaSk5NTo5mado7UDv3m5+fH5HvsBd3j8cTkkeIX+GwaUXsx83q9WTle\n",
       "JoTDYSRJwmNbvyQUF8sMGZJDs2YgSTBjRohevZJXwH77rcTpp+dy1FEGRUVB7FuzYYPMhRfmsHFj\n",
       "gLw8y+OxNV3te2uHBzOp0K0JDXF/oTJ64ff76/V9Ifk1O0OxzmrdVBKAqbCjBPZ/8a0uTiO6jwuK\n",
       "JL0JwsPcj7AXIrvC1amrqqoqFRUVmKbZIEOc7XMrKSlpEK/W3ijYRtvZXG5jL9DOakZ7YbAXGlVV\n",
       "Y9oysuElNbYw108/SYwbl4MsS4wYEeGrr5SUxhJg+3aZnByrvWTtWoXCQuu13bsbDByo8c9/ern7\n",
       "7kBMXi3eK9rfNHQb8jNN5t2mqtJNJwGYSow+XauLrcnr8XiixyguLqZjx47k5+fXy/XXJcJg7gfE\n",
       "V77ao6LsKrnaiJNnI4epqmq0wKC2Ocrqno/z+u3K33A4HB37lOz48f/OZIGvqZfU2BZ/VYUxY3II\n",
       "BuG88yLMm+dm3ryKtK+/+mofDz0UwuuFiRN9rF4d5PDDrc/ottvCdO+ey/nnK7RtqyY9RlUVuslU\n",
       "dDLV0G3Igq7G9tnGU91Wl1SiC85nPFnl/UMPPcQ999wjDKag4YmvfHU2pAcCgVqLk9cGp7Gyxdnr\n",
       "q6AnW+LsyUi2wKdaaIBqG9GG5MYbvXz2mYzPZ3LUUSadOxucdJKR8vVPPOGmdWuDwYN1JAkmTFC5\n",
       "7jovs2aFAGjRAq69NsK//uXjuedC1TqXdCo6YkB3apJFTzKlJpsX5z13FhfZ/1tWVkZBQUHtL6wR\n",
       "IAzmPoqdj7Q9pfg8paZpCUOca0JNPMxkxiqdV5dNnL2cqaT86qIPszpG1LlbT5YPaihWr1Z4/HE3\n",
       "f/iDwZVXqkyf7uHRR1MbuUAA7r/fw4IFFdG85d//HqFHj1yWLlUYOND6vC+6SOWBB3J5/30XhYW1\n",
       "O8eqQovxLRdAtDexPgu4GsPnmU2qs3kBS01q2bJleL1eIpEITZo0yfi9QqEQvXv3JhwOE4lEGDFi\n",
       "BHfffXfMa1atWsWIESM45phjABgzZgw333xzLa+yaoTB3MeoSsrOLmjxeDzk5uZm7T0zfZ1d0FNX\n",
       "k0TSGbtIJEJFRQWSJNVre0oqMt2t29GAhszXqSqcd14O3brplJZKfPedxN69cMcdHvx+6NRJZ9w4\n",
       "jRNPrPQ2n3zSzemn67RvX/mznBy4774Q11zjo1evADk54PXCNddU8N//5lJYGEn29rXCaUTjNXRt\n",
       "TyiT/Nz+Qn0Z62Sbl1DI2mApisK2bdt466232Lx5M0cffTSdO3emU6dO9O7dm/79+6c8rs/nY+XK\n",
       "lfj9fjRNo7CwkKKiIgrjdlu9e/dm4cKFdXNxKdiny5gOJGxDGQqFohNEbGMUiUQoLS0lHA7TpEmT\n",
       "qH5lKjQN3nlHYtYsmXvvldm+PfVrM/ni2cZ67969Ud3Z3NzcequS03U92suZk5PTKIxlOmwD6vF4\n",
       "cLvduFyuaCGW3QpQUVFBIBAgGAxmvVc02YJ66aU+JAlKSiSCQXjqKQ9nnaVx/fURLrlExTBg8OAc\n",
       "rrrKS0mJJYc3fbqHa69NNIBnnaXToYPOU09VFpaNHx9h2zYXmzbVzzNhL+aSZEkAputbDAaDUSlG\n",
       "2zttbIVY+wr2uuR2u7nmmmtYsmQJnTp1oqioiEsuuQRZlikuLq7yOHZ1sV1I1Lx584TXNMRnJNpK\n",
       "GjnpNF/tKR6GYcQMcbYX2Ly8vLhjwTPPyNx5p4vDDjM58USTJUtkSkuhXTuT2bM1Tjwx9iO3PZ9U\n",
       "RtipO2ufQzJSnVN1KS8vx+124/V6E0K/8aILqXCeizP/C1b7i9frrbcKXtsQJru/ydovqlv0kgx7\n",
       "sLH9WW3daokTnHWWxttvu/jPf8LcdZeHrVsDMZqwv/0Gt9/uZcMGhfHjVVascDF/fvKCoE8+kRkx\n",
       "Iofi4gB5edZ1Tp/uYcsWL08/Xb1cZm2Iv9Z4nGFzp8df2/vcUO0sUP/PsJP4+22aJoMHD2bt2rXV\n",
       "Oo5hGHTp0oWvvvqKyZMn85///Cfm96tXr2b06NEcccQRtGrVinvvvZd27dpl7ToQbSX7FvYXOZmU\n",
       "XVVDnJOFLUMhOPdcF7t2Scybp9K1a+Xv166V+OMfXXTv7ubeezUuvTR1kYeNfQ6aptWo+ramSJI1\n",
       "m9MWXqhJ6LeqHGZj8S6SFUlVVfRSE5Htiy7KoXlzkzVrXNxyS4Qff5Q491wtQUC9WTN48MEwDz3k\n",
       "5vbbvTzySGrD1769QWGhzuOPe7jmGssLHT8+RLduufzwg0TLlo3nHsdXQUPtB3QfqGQrHGx7onv3\n",
       "7mXgwIGsWrWKPn36RH/fpUsXvv/+e/x+P0uWLGHkyJF88cUXtX7fKs+rzt9BUG2cUnZOr9JWxykt\n",
       "LUWWZZo2bZrSq3Iu+qoK48e7+PJLiW+/lZg/X+b3yV0AnH66ydatKmeeafD3v7vo0sXNokUyup5o\n",
       "XJznoCgKBQUFGan0ZKvQRtd1QqFQtJAg26Hfxr742aFGj8cTI5Hm9XqRZTnaMG+Hc6uSNVu5UuHz\n",
       "z2VUFVq0MLniighz5ri54IJULSDQo4dBfr7JI494cAy1SeCGGyJMn+6mvNz6d36+ybhxKk8+WX89\n",
       "wDVdwO3Nin2fc3Nzq7zPdviwoYu4GlPBkaqqtUqPFBQUcPbZZ7Np06aYnzdp0iQath08eDCqqrJn\n",
       "z55anWsmCIPZiHBKtjnbRAAqKiqisyALCgrw+/0pvxTxP7/hBgVVlSguVtmwIcK2bRJ9+7r5+uvK\n",
       "1/j98PLLGoWFBl9+KfHXvyoMGeLmxx+l6LmFQqGYc8jJyam3L6adp7Sboht7nrI+SWdEFUVJWNzt\n",
       "EL+u61x+uQ9Zhi5dDKZMibBhg0Lz5iYdOqSOMjz1lJurr47Qpo3BlCk+Uu2DTjjBoGdPnRdfrDSQ\n",
       "Q4aoPP64m1D9RWWzRlX32R72HAgEopXqkUgkmk45EIg31mVlZdXuv9y9ezclJSWAte4tW7aMzp07\n",
       "x7xm165d0Xu6ceNGTNNMmufMNsJgNgJsYxQIBBIKempSTOP05hYulHn9dYVnn1Vxu6F1a5gzR+P8\n",
       "8w369/fw7beVf6co8MorGh07mvz2m8Qf/mDQt28+779vsnfv3lp5dTX1MO0K0tLSUtxud1RBpLHs\n",
       "oBsr9uIeL9ZtRwNM02TpUoOdOyUmTgywebPMuHFBXnxR4dxzk3uXYOUx33zTxfjxGtOnh/jwQ5kF\n",
       "C1JvXC6/XOXRRz0YBrz7rptLLsnh8MNN3nhj/9jspLrPLpcrep8jkQiBQIBAIBDNuddlcVFj8jBL\n",
       "S0ur1VIC8OOPP9KvXz86depE9+7dGTZsGGeeeSYzZ85k5syZAMybN4+OHTvSqVMnpk6dypw5c+ri\n",
       "9BMQRT8NiLOgJxQKoet6tCgm02KaZGiaRiAQwDQL6NLFw3PPqZx+euJH+cgjCo89JrNihcrBB1f+\n",
       "fOdO6NLFg9sNt91Wyj/+kceiRSE6dqx5H5stzZfpbjO+nzInJwdZlqPydjnxCbYankt80Y8tSF9f\n",
       "3mu6op+6wi7MOOGEpoRCMGlShJISuOOOcjp0aM6KFb9w+OHJZemeftrNqlVKVJhg/XqFiy7ysX59\n",
       "gGbNEt/LNKF3bz9jx4a4//4cnnkmxC+/SMye7WbBgtQKQtmivj9Pm2TFL8n0XLMt/2frIefm5jaI\n",
       "0QwEAtHvKsCWLVuYNWsWjz32WL2fSy1JevOEh9kA2C0idrUmECMlVVZWRiAQwOfzkZ+fX23dV3tn\n",
       "e/vtLoYMMZIaS4ArrtAZOdJgwgQ3hiMC53Yb/PGPIcrLTf73Pz9/+1sFo0b52bWr5l/ATD1Me0e+\n",
       "d+9eVFVN6lUfKOGtumThQje7d0vce2+YWbM8TJ6sU1Tkp317g2OPzcHn86EoSoKHNHu2wtixFdEw\n",
       "Y48eOkOGaNx2W/JqUEv9J8I//uHn3nvL6dNHZ9gwjQ8/lPnuu/qZtdoYvC1nP67X6yUnJwe/3x9T\n",
       "3Z7NdqLGkj+tiYfZmBEGsx5xNlM7DaVToaesrAy3251xMU0yJEli2zaZefNk7rhDS/va22/XUVV4\n",
       "6CGF3btNLrsM2rf38s03Ci1bwkcfubjjjlyaNTO54IJYw5ptks3GjC+NbwyL376OacI11+SSm2uF\n",
       "4Tt0MDj+eINXXnEzerQWE2b0er3RMONPP+Xy7bcKfftaz69tRK+/fi+LFrn46CMjqvTifK+VK13I\n",
       "MrRvbz2LPh+MGaPx/PP1OwCgPsnEUDuNqB1FsYuL7Kpzu8gt0yKuhiTZ+dQkh9mYEQaznkhV+Wqa\n",
       "ZrR5WpKkpEOca8JttzXhpJMMAoH0r1MUePpplXvukenWzY3LZbB1a4jXXjNZtkzF5zNp0sTgjDMM\n",
       "1q+XmDKlZqGtdB6mnacsKyuLtomkGz2VDZwTFpwLUF3I5jU25szx8ttvEn/7W5hZs9z86U8q4TAs\n",
       "W+Zi+PDkGyxJkpg/38PIkRp5ed7o4p6Tk0OLFi6mTAly550+gsFgNFcXDod59VWJr7+WmTAhxAsv\n",
       "VIadL7xQ5YUX3CkLhg5kalOh60wvNOT52wiDKagW6SpfQ6EQJSUlGIYRDTtmo0Xi889lNm/2cPTR\n",
       "0KOHhzvvVNBSOJqqqvLLL+UYBuTkSEybJnPQQZZX16oVTJ2qouvwv/8pFBYaPPWUzMyZ2XlsTNOM\n",
       "Vv8CGW0WsmXQTNMqZLIXGXsB0jQNVVUb7S6+toRCcMstebhcMHCgxtatMkOGaKxerdC2rc6hh6a+\n",
       "3ldecTFmTOWD5PSQJk0y+eQTN598kh+dVxoIwM0353DXXSX88Y/lzJnjJRCw1HQ6dNDw+Uw2bqzb\n",
       "JaixhGRrS6YVuvYIP9uIOgej1zXJ7rUwmIKMsA1lKik7Z9VpXl5eNF+UDe67z8WllwZ45BGV99+P\n",
       "sG6dzKBBbn6v1AYqw587dwa54IJm/Pe/Gs2bw5w5sY/ElVdGcLstT/SEE0x8Pvi//3OxcmXNFyFn\n",
       "nrK+pfSc6ki5ubn4/f6YsKNdgFHdfsZ9hVmz3ITDEgMGWKO7zj9fw+OBZ591c8QRJtOmuXn9dRc/\n",
       "/BD7+X7+ucxvv0n06JFcQN/ng+uvj3DXXd6oEX3qqSZ0725w5pluOnSQaNXKYMUK9+/fiwqGDw8y\n",
       "Z06lMtX+JElXH4Y6WYWuveG01xO7eNDp9den/F95ebnIYQpS4yzocRpKO6lfVlZGRUVFNEdnV+9l\n",
       "y3P66Sd44w2Ziy+2YrGHHw6LFql07GgyerSb8vLK8KfL5eZvf2vB0KEGF11kct99Grfc4oo2mgP4\n",
       "/RJ//3uQZs1A1yUWLVIxTRg1ys1XX2V+Xvb1JbsH9SHh5Qz7ut3uqN5l/Dnai00m/Yz7mhENh+Ge\n",
       "ezxEInDttRU8/7ybNm10BgzIYdEiF6Wl8MMPMs8+66Znz1wuvdTHN99Yi/6CBVa4Nt2e5rzzVLZt\n",
       "kykultmzBx55xM3NN4ejhmP8+BBz5vij4dzzzoPXX/eh66kLXvYnI1pf2Pq5dnGRHTq3n3e7Stxp\n",
       "RLNxr5NtEkpLS/eb0V4gDGbWsFtE4itf7cR9WVkZZWVleL1e8vPz60xK7qmnFM45x6BZs8okvCzD\n",
       "vfeqtG6tMW6cpeBTUFDAggV+vvlG4l//sryGHj1MzjjD4IEHYg3YuHEhDAPmzpVp1crk6aetnNeg\n",
       "QW7U1C17MdhfRjtPad+D6lLdjYVTcAGodn40XT/jvuaJzprlRpLgkEMMrrgij1AI/vtfL2edpXH8\n",
       "8QYvvxzi3/8OM29eBVu2lHPMMQb9+vl54w0Xr7+eOr9p4/HA5MkRpk3z8OijHs4+W+O44yrvwciR\n",
       "KqtXu6KRjjZtoFUrkw0bclIWvNSlCH1d0pCh4Pj3TVaha0dXslmhm+x1gUBAhGQFsdgFPZGIpZlp\n",
       "G0pn073L5aJp06YpK1+z4WFqmmUwJ0/Wo8ez+xnLyvbywAOlaJqLGTPyKSuTue46F489ZoXkbG65\n",
       "ReOxx5ToombtVk1uvNEK2d5zj4tzzzUpLDT48UeJSy5JXwRk5ynLysqAzPKU2UJVVUpLSxMEF+Lf\n",
       "uyYl+9mUp6sPVNWaXVlSIhGJwDffyBx2mMmaNQFCIYkhQ2KNYX6+JW03b14Ff/2rl6++kunZs+p5\n",
       "phdfrLJ8uYvHH/dw9dWxk0zy80369NF4/fXKZ+acc1Tmzav8d6qCl1RVo1Ut7PtLDjNTqvN81UWF\n",
       "brIcpgjJCoD0la/xxSxVychlw2AuXSrTurVJ+/bWcTRNo7S0lFAoRG5uLs2aNeHppzVmzFC4+moX\n",
       "gwYZnHJK7HseeywMHmwwfXqsl3nBBQaRCLz8ssyOHfDvf+vk51v/XrYsuZatM09pf2nqI09pe/R2\n",
       "E3V9yOjV1IjWV8hx/nwXeXnWZ9i0qUEkIrFoUZAWLSzlnsGDk3uPXbsaTJxoheHnz6/6Hubnw0kn\n",
       "6TRvbsZ4lzZjx2q8/HJlKHzECI3Fi10pi9IgfdWovbCn2qAciNRmg1DTCt34od02ZWVlIiR7oGMn\n",
       "00tKSgiHwzGVr7WdC1mbxfPZZ2UuukiPVn4Gg8EE8YMjjoA77tCYM0fm2muTr1LXX6/z6KMKe/dW\n",
       "GnKPB66d1SwoAAAgAElEQVS6Sufww00eekiha1eT0083aN/e5PzzY0Ozzjxlbm5ujMGqrXFIt7Gw\n",
       "W3Rsj94Ov1ZnAclmW0kmRtTWdK1LT9Q04eGHPezYoeDzmbjdcNZZKoccAjt3Svzwg0S3bqkrKdev\n",
       "V7jlljB//7uXDRvSP8uGAdu3y/z8M1QkEfIZMECjuFjhp5+sz6R1a5PWrU3WrateHjvTDQpYaj/1\n",
       "7eU3lGdbF9dWVYWuvTm2DWdFRQVLlizhzTffrJa6F1idA927d6dTp060a9eOG264IenrpkyZQps2\n",
       "bTj55JPZvHlzti61SoTBrAbxla92ubYkSTFDnG0jUZ1iFvvLVdMH/pdfYPVqmcGDy6LTTJy7cCcf\n",
       "fyxx7LEmL76Y/PyOO85k4ECDxx5TYgzIn/6ks2uXxKxZCnv2wC236Pzyi4RpwuTJSkI/ZU1UimqC\n",
       "HXbeu3cvhmFU6dE3ZK9l/OLj8XhQFKVOw7lr1yrs3CkRCEBeHjRrZnL++Va4dPlyF3376qR6VEtK\n",
       "4IMPFC66SGXGjBCXXJJDaWnq91q2zBJvP+UUg9deS/RIc3Lg7LM1Xnml8nfDhmksXFj7CED8vbXl\n",
       "E+17XNWEkf2F+jDUycQtbAlCl8vF119/zbRp01izZg0nnngiQ4cO5dZbb2X58uVpj+vz+Vi5ciXF\n",
       "xcV89NFHrFy5kqKiopjXLF68mC+//JJt27bx+OOPM3ny5Lq81BiEwcyAqipfS0tLCQaD0fBfTY1E\n",
       "bfQj58416NcvRJMmROdDJjverl3wwgsKzzyjMmOGwvbtyY85darOzJkKEUcaqmlTGD9e54gjTJ56\n",
       "SuGkk0xOPtlk3DidF15QKC4uSyu+UBeGyvZm7bBzXl5evYR9s01d5kTvu8/N3r3WZzF9eogvvnAx\n",
       "YIAVEli2TKF//9Tx0LffdnHaaTq5uTB4sE7fvho335x6KPLTT3u49NIIl1yi8swzld8Dp8c1apQa\n",
       "I9g+fLjGG2+46kxFyuVyJS3aip8wEggEYkKMNX1WG9L4NrTht6vPr7jiChYvXszJJ59MUVEREydO\n",
       "xDRN3nvvvSqPYY/tsjcz8VNIFi5cyEUXXQRA9+7dKSkpYdeuXdm/mCTseytLPVJV5astmu5Up6lt\n",
       "/qC6FaB2nvCll1ycf74UU9iS7FiPP64werRBt24wZYrOddcl39mfdJLJ8cebvPpqbH/oFVfo7Nwp\n",
       "MWOGQiRicuWVIdauhWOP1fnLX1rg9/vr1GDZ1+X0Zu3K45psVBprQUgmIcdMil++/17inXdcmCb8\n",
       "4Q8mX30lM2hQGK/XKgRavdrFWWelzvW99ZaLAQMqDepdd4VZscLF8uWJLukPP0i8+67CqFEagwZp\n",
       "fPutzCefJD4LvXvrfPZZZVj2+OMNmjQxef/9+lmOUlU+p9LPrakRbSxVsg2FvUk6+uijGT16NHfe\n",
       "eWfKEKsTwzDo1KkThx56KH379qVdu3Yxv9+5cydHHnlk9N9HHHEEO3bsyPr5J0MYzBSkq3y182SS\n",
       "JOHz+bJW9Vkdg+nME+7Zk8cnn7gIhZToYOhkxwqHrSraK6+0FsipU3U2bZJ5773k537VVTrTp7ti\n",
       "5MuOPdYaIOzxmJx0kouPPtJxuyUmTzb59FOZFSvSFzbVFttY7t27N+rN1lRztzFQ3fyq04gmK36J\n",
       "N6L/+pf1+Wka/PvfIV55xc2oUdakkU2bFI46yuCQQ1JJFsLy5bEeaH4+3HdfiGuv9SW0FD3/vJtR\n",
       "o1Ty8sDthvHjVWbPTtzEeL1WLtNZLTtsmNagI79S6efm5OQkNaLOMV0N7dU5aciq4FTvXd3zkWWZ\n",
       "4uJiduzYwZo1a1i1alXS96rNe9QUYTDjcFa+OqXsnP18pmnWmd5pVV8+XdcpLy+P8awWLfLSrZvJ\n",
       "E08onHSSh7Vrkz88r7wi0769Sdu21ntY6iwad96ZfKEaPNigtBQ2bnRHz8swDP74xwAul47PJ7F+\n",
       "vZ/du2Wee07h1FNNJk+ONbDVvb502AuWYRjk5+fX2Jvdn/Ri0xlRTZN46SUvkmT+Pgs1yHffSfTs\n",
       "aT3bK1Yo9OuXOhxbXCzTrJnJ0UfH3qsBA3RatzZ46ilnyBVeeMHN+PGVVvT8862WkWQVsCNGxOYt\n",
       "Bw3SePPN7BrM2hoPO/WSzIi6XK5oTUMyI3ogEv+dqu13rKCggLPPPptNmzbF/LxVq1Z8//330X/v\n",
       "2LGDVq1a1eq9MkUYzN9xar7quh4jZWcXlKiqmtDPl82FN92X21kBKstyTE/na6/JTJ2qs2yZyn33\n",
       "aYwf7+bhh3MSzu3ppxUuvTQ2/HbRRQaffSbx7ruJ7y3LMHmywaxZuTGtMoMG6QQCLvbskbn1Vp17\n",
       "79X48EOr0nLHDokFC7K727PbROyqX0VR6lQdaF83prYRnTYt73eNYOjZU2fx4lyGDYvgclk9qsuX\n",
       "S5x2Wupw7rJlLvr3TwzXSpIVmv3Pfzz89pv1s02brO/KKadUJiLbtDE54giTFSsSP6szz9TYvFnh\n",
       "11+tZ6VrV4NffpHYvr1xRwrijWi8ko69jgANIkfX0H2nzvcOhULVnlu7e/duSn5vAq+oqGDZsmV0\n",
       "7tw55jXDhw9n1qxZAKxfv56mTZty6KGH1vLMM+OAN5ipNF8lSYo2vtsFJcn6+bJtMJPt0pwi7QUF\n",
       "Bfj9/uiDuWsXfPKJRL9+1kI1dKjBunURXnjBy4MPVnrAX3whsW2bxJAhsZUVHg/ccIPGP/6RfHd/\n",
       "3nkab7/t5ZtvSqOtMvn5fi66SOcPfzCYOVNh7FiDP/1J53//UzjqKJNrrknuZVZ3g+EMf9ttInVd\n",
       "dbuvhnaT8cgjbhQFysokJk1SmT/fw9ixBrIsEw57+fxzN2ecIaUM5779tkzfvpGkn1n79gZDhmg8\n",
       "/LD1jM2Z4+a881Tib9/556vMmZP4mfn90KePxpIlljFVFBg4UM+6l1kfxCvp2BvZZHJ0wWCwQTRd\n",
       "64N4Y11aWlptlZ8ff/yRfv360alTJ7p3786wYcM488wzmTlzJjNnzgRgyJAhHHPMMRx33HFMmjSJ\n",
       "GTNmZPU60rHvPZ1Zwi7osXMQzl5Kuy9O13VycnJSFvNke3F1GhTbkFdUVCBJUsrm+0WLZPr3N/A6\n",
       "ChdbtoT588sYNqwJLVoYXHqpwaxZMn/8o06yKPKECQZ33eVi82aJzp0rv7yapuF2BxkwIJcFCwq4\n",
       "5hrrer/6yvI+i4tliouhsFDmiit05s1TKCuT+PVXWLJEYsiQmlcZRiIRgsFgtKBKDJCuHosWKZSW\n",
       "SvTqpbFunYtjj7VagHr21IlEYO1aN6ecopObqwCVHqCdIy4pMdiyRaFz53ICARNZlqPC9PZ///d/\n",
       "Efr29XP55RFee83FsmXBhPMYM0bjH//wUloKzZvHfl+GDNFYtMjFhAlWCHPQII1nnnFz2WUZ6i1W\n",
       "QUPL09n3ydmDbN9fXddjhCuc91ZRlJj1qDo0tIfppCbC6x07duSDDz5I+PmkSZNi/j19+vRanVtN\n",
       "OeA8TNtQJhviHC9lV1VBSV2EZJ0C5c5WlVRKNUuWyAleI1ijuebNK+eOO1xs3CgxZ47C+PHJ6/bd\n",
       "bqv69cEHrYXTMIyYPOmECRU8+6yH77+HCRNc9Onj4eefJY480qRFC5N77lEYONDDYYeZTJyoI0lw\n",
       "9dWJ55vJ/bK9+nA4HBP+dh6jttS253Vf4KabfLhcsHu3xMkn6yxZ4mb4cC3ab7l6tYtevZKFW61w\n",
       "7vr1OZx6qsHBB6eWSzv00AD9+0e48UY3Rxxh8Ic/JD5fLVqYnH66zpIlia0oAwfqrF7tImTVINGv\n",
       "n8aGDQq/qyjud9RG03Vf8ESTeZj7kyweHGAG01n5appmTB7Szs/ZlZdVSdlB9g1mpe5rWUatKqGQ\n",
       "JVYwYEDiQmWVc+s8/LDGuHFu8vNNOnRIfa4TJ+osWyazbZtV2OTMk/booRMMQvfuHtq0Mfn88wiP\n",
       "PKJxww06LVua5OXB8uUqHg888ojCJZfofPutxNtvZ27cbCMdCATw+Xz1Imdn329787QvLEqZ8P33\n",
       "El9/LTFmjMoXXyhMmGD1PY4cWVmM8s47bnr3Tl2csmKFQt++lkFNp+86dWoF8+d7GTAg9SI/erTK\n",
       "ggWJBrNFC5P27XXWrLGseFGRgsdj8vbb+3bgq7peXiaarpkKozemKtn9bRYmHCAG0zaUpaWlBAKB\n",
       "hMrXkpISdF2vduVltgymbbAjkUjaxv941qyR6NDBpEWL1K8ZNcqgeXMzaSjW+f4+X5ixY4M89pgn\n",
       "eh/s91+/3s2ePRJduhjcdpvO733FjBhhsG2bzI4dEqoK69ZZHvuiRQpeL0ycGLvwpcrR2psVWZbr\n",
       "1asvLS2N5q3tnb2qqjEiFfuiEb32Wss4detmGbyTTzbYuVPitNN0TBOWLPHw9dcyjz3m4dJLfUyf\n",
       "7mbr1thnftUqhb59UxtU24iecIKVr5Zld8pFvk+fMjZscPPrr0bC/Rw8WGfJEhfPPedi6lQf556r\n",
       "Ji0SOtBIt0lJlXNWVTUa9q1vkr1nTXKYjZ393mDa+TC78tX+YFMNca4OtV28nZJuuq7j9XpxuVwZ\n",
       "G+ylS2UGDUoeZq0M78LPP0vs2iUlHfrsFGifMgVefNFHKFR5H778UuLPfy5gxowQmzbJBB1pqrw8\n",
       "q8iofXuTWbNk3G647DKdNm0McnNh1y6JOXOSG754cfZ4I11X2BW3QHQ373a7Y/6/s+grfm5gYzei\n",
       "kYglpt6tm87LL7tp1crSaR02TGP1aoVu3fzccEMTjjzSoG9fjV69NL7+WmbYsBwuvNDHl19a2rK/\n",
       "/irRsWPV0jtr1yocfbTBSy95MM3ki3yLFm4KCyMsWuRK8JT696/gtddc/POfXhYtCnLJJRrLl6dv\n",
       "TcqUhtRzrYv3TWVEnX24QLS4qCGm5Dive38bHg0HgMG0vUk7oW4vmMmGONfk2DV9EOMrcG2DXZ3j\n",
       "vfVW8nCs89zWrJE46iiTadM0pkxxRYUNnP2ctkD7sce66NnT4KWXrMeiogLGjXNx7bUBRo/WOfVU\n",
       "k4ULYx+Z8eN1fvwRXnzRktG78EKDzz6To7nMK690R+X14nO0TnH2uh4ibXuydn4aiOaN4u+bJEkx\n",
       "4TE7xwSJ1Y7OSQ2NgWefdaHr8K9/hSkuVhgxQmX+fDc//CBx1VU+7r47zIABYS6+OMz48RoXXKBx\n",
       "//1hPvwwQKdOBgMG+Jk2zU2vXnraYdE2Cxa4OO88jSZNTJYtS/wM7UV+xIgwb7zhT/CUNM3gt98k\n",
       "brppLy1bBjjqqAokyeTTT/fvHHO2iO/DBUtarjGMmtvfJpXAAWAwgZgQhq7rMQOM61PKDmJHT8VP\n",
       "EoHMF4lvvoHSUomTTkr/+vnzFUaNMhg2zODEE00eekhO2c8JcOmlBk88YS18t9+u0LatycUXW+PL\n",
       "xo/Xef752EWxd2+TvXsljjjCZOlSmeOPtxrde/QwOfJIk/JyogOp43O0NZGzq418oO3JViXMHk98\n",
       "oYbf70/ouwsGg41CAebf//bStKnJt9/K+HzQubPORx/JmKbEunUBBgzQWbfOQ2FhbLg1NxeuuSbC\n",
       "nDkVPPOMJyNjaRiwaJE1WHrSpAiPPZY67t+/f5gNG1zs2VNpRMHD5MkFFBbq/PyzVY0uyxJ9+0Z4\n",
       "801znyx8aUjse5NOVrGuROiTedX72yxMOEAMpm0g7NLtbA8wzuQhy6QCtzrntHy5zJlnGikXNmuT\n",
       "YPLGGzIjRlgLze23V/Dggwq7d5spQ6D9+xv8+qvE88/LzJmj8NBDWrS3btgwg/fek/jhh8rXKwqc\n",
       "c4419mv2bOtkJkzQmT1b5oUXrEX5rrsUvvuuUo+3voZI2150MBjMqiebqtrRqQCTDS3S6vLVVxK/\n",
       "/CJx+eUqc+e6UFW46y4vLVuavPBCBQUFVnj+l19kOnRI7hGfcopBQYFJUZHCyy+nj7wUF8vk5Zkc\n",
       "f7zBmDEaH30k8+WXyT/T3FyTM87QWLq08pj33efhyCNNpkyJsHy5KxpuHDwYVq/2x3mi1a8e3d9C\n",
       "spmSqgUumX5utkTok11zeXm58DD3Rdxud3SRziaZfCmcRS2Qfph0dbynFSssg5nu3IqLFfLzTY4+\n",
       "2ip4OuKIICNH6jz6aH5Kw6Eo1hiv66938Y9/aBx0UOV5+f0wfLjB3Lmxfzt2rKUWtGqVzFdfWf9e\n",
       "sULmuONMjj3WQFXhppvcuN3u372I2j926e6TUxWpPgUPUsmopRP0zqbXdOONXiQJLrooQlGRi2bN\n",
       "TEpKJP75zzD25RcVKZx6qppynNc331jP5YIFFVx/vZe1a1NvMBYvdjFkiJU38/ng/PO1pNqxNkOH\n",
       "RqJ6sV9+KTFzppv77w9xxhk6W7Yo/C7wQq9eGps2KQQCUtrq0X25BaMuqK6hTmVEsyVCLzzMfRQ7\n",
       "nl8XGqKpjuks6Ml0mHSm56frVjtJ377p82Zvvulh4MBwTPj35psNnn1WwSHFmMBBB5ns2WNVwcZz\n",
       "7rk6L78cew1du5qYpsSJJ5p07eph4kQXnTvrvPhihP/7v3JkGV57zcd332Vn5mEq7HvuVEXKxuak\n",
       "pqQyovaCZBhGdIGvbX7JMCwpuw4ddNavd+HxmOg6hMNSjHj62rUKPXtGUh6nqMhFYaFO+/YGjz4a\n",
       "4s9/9vHrr8lfu2SJi7PPrjz2hReqPP987DBxJwMHaqxe7SIYhJtv9jJ1qkqrViY5OdCjh87Kldbz\n",
       "0aQJdOqkJzXWzsKXqoyoHWasbyO6LxtrpxGtrgh9PKKtZB+nvgymqqoxMxqrEwrM5Pw+/FDi4INN\n",
       "WrZMfYxwOMxbb3kZNEiNCf+2bGl5kPfem9x4qSo8+KBCt24Gr70mJ1xj794mO3dKfPVV5d9IEowd\n",
       "a4VlO3Y06ds3xAcfyNx7r58xY7x4PJY499//7q+zxcQ5FzMvL6/RzsWM39Xbm7l0+aVMjOjs2Vax\n",
       "z/XXqzz7rJuyMonzz1fp3VuLtgEBrFun0KNHaoO5Zo0SFTQYMEBn9GiNyy/PSaha/f57iZ07JU45\n",
       "pVL84PjjDY45xogJuzpp3tykUyedGTM8fPKJwuTJlefRv7/GsmWVf9e3b6UBrYpURtTlciUYUbva\n",
       "ua6N6P4UCk4XPbFTEHbhWyAQ4IknnuCuu+6KPr+Z8v3339O3b1/at29Phw4dmDZtWsJrVq1aRUFB\n",
       "AZ07d6Zz587885//zOalVknjW1HqgbrSf7VzZuXl5TWa0Zjpw758uUxZmcS0aUpU/BpiPawdO+DH\n",
       "HxV6907saZwyReell2SSzVydM0fm8MPhmmsMnnsuVjINwOWC0aMNXn45Piyrs2mTxNdfm/TpE+GD\n",
       "D8L8/LPMyJEexoyxFtXVq918+ml2HznnXMyaFhI1NOnyS8kqHZM1rt9/vwdFgVNP1Vi5UiEvL9ED\n",
       "3LMHvvtOpmPH5P2VpmmFbE8/vfL3t90WZudOiTlzYo3XsmXWHM34feCFF1oGOxVnn63x6KNurr8+\n",
       "HCPnOGCAxrJlStQw9+un1aof0652VhQlxogmU9SpLyO6PxFvRD0eT/ReH3fccQSDQT799FP69OnD\n",
       "4YcfztChQ3n44YfTHtPtdvPAAw/wySefsH79eh555BG2bt2a8LrevXuzefNmNm/ezM0331xXl5iU\n",
       "A8Jg2gajLiTRbEk9Z2FRfOVpdY6VybkVFUn86U8aH3wg0a2bhyVL5Jg2lSZNmvDOO3n06RNOmqs6\n",
       "9FAYN87g4Ydjf2kYcN99CtddpzFkiMG2bZYnGX8dY8fGhmU1TePII/fi9xsUFhosWNCEI4+UOfdc\n",
       "qyhp/XoZRYH8fJMpU6o3vSAZ9j23x61B7QqJ4guvGsOCma7SMb5xffv2Cr7+WqZ3b5VrrvHh9Zqo\n",
       "KmzfLjNwYKXxW79eoVs3nVRdVNu3S+g6HHdc5fV7PPDggyFuvdUbszlbutQVc2ybUaMsebtdu2I/\n",
       "B9v7Ofhgk19/lTjnnNi/PeYYK0dub6g6dTLYtUvmhx+y5zGl8kSzbUQPxGIjWzlNlmX69u3LXXfd\n",
       "xcEHH8zPP//M+vXrmThxIgcffHDaYxx22GF06tQJgLy8PNq2bcsPzgpDx3s1FAeEwXSSzQXRFlIO\n",
       "BAKYppmxpF5tzk3TLAM0ebLB//6n8eSTYaZOlbn1VvB6rTyly+Vi6VKFM89MHQ65+mqNZ55R+N3e\n",
       "ALB4sYzfD2eeac1PPPdcneeeUxLOq0cPq5VkyxYz2suZk+NjzBjw+STmzpUxTTj/fJ2KChgyxECS\n",
       "wOs1+eADF59+WqPbE8U0rfe1RSeqyg0no7EYxuoQb0TtBf/BB/NRFBgwIMSbbyqoqkSvXmFOOUWl\n",
       "adNKoYV161ycdlqifqzN2rUKp5+uE//4dutmMHSoJaIOliRjUVHyWZp+vyWqPm9ecqs8a5abli1N\n",
       "PvggcSfXr5/G229XTi/p08fyluuS+jKi+zup7oUsyxx11FGMHj2a8847L+Pjbd++nc2bN9O9e/eY\n",
       "n0uSxLp16zj55JMZMmQIn9Z2MakmB5zBlGW51g+6s7fPNE28Xm+NFu14MlnEN2+WaN3aEj0PBoN0\n",
       "6lTCsmXlvP22nzvu8AOWTN2aNTK9eiUfzQRw9NEwcGBlzyXA9OkKU6ZULpgXXmgwe7ZCfE++JJmM\n",
       "HBnm+ee1mF7OUaMM3n1XIRyW+PBDid69TXbskPjLX3ROPNHk559lWrc2mDy5ZsU/tt4sgMfjqRe9\n",
       "2caOaUrMnevF5YIXX/SjqhI+H/j9EkOGqDFqRWvXSpxySigqnxb/bKxdaxX8JOO228IsXOjik09k\n",
       "1q1TaNfOSCnJeO65KnPnJoZlN29W+PJLmXHj1OhYLydnnqnH6Mj27auzYkXNP9+aelzJjGgqgfRk\n",
       "ClAHoocJsZGa2pxLeXk555xzDg899BB5eXkxv+vSpQvff/89H374IVdddRUjR46s1TlXlwPCYMZ/\n",
       "cLUxmM5JIvaXKNvFJenOb/VqidNO02IqQVu39vHmmyqrVsn8978K770n8Yc/mBx0UPoq2iuv1Jk5\n",
       "U0HT4NNPJT77TGL06Mq/6djRpGlTkw0bXNGFwN4oDB0a4s03/TG9nB07mrjdJn36WGpBLpdVafva\n",
       "awqvvqpimtCkic7GjXJM0VAm98OpN2sr8WRrcdiXPYU1axQqKuDEE3U++UThkENMDjvMpKjIzfDh\n",
       "ZnTBBz9bt7ro3NnSGw2FQglqRWvXypx+enKD2bSpJWxw550e3n7bxZlnptaZ7dVLZ9cuic8+i/1e\n",
       "PPqoh8suizB0qMaSJYmGsFcvjffes64HoG9fjVWrKvOateXDD2VuvdVDu3Z+Dj88j+OOy2X8eB+v\n",
       "veZK2BTGk0wg3WlEnRsTuzK3scsoZpNkBrImRlNVVcaMGcOECROSGsMmTZrg/72KbfDgwaiqyp49\n",
       "e2p+4tXkgDCYTmoainOOvIqfJJKtL0RVD5eqqqxaZXDqqRVR/VvbWDdvDvPmqTz2mMLMmQpnnWVU\n",
       "eW5dupgccYQlbvD44woTJybOyzz3XIOXX3ZHr9/eKPTqlUNZmcTWrc78nyX2Lkkmc+danumYMTqv\n",
       "vCLTsiWceqrOxx9b+qaTJ2dWmKOqap3qzdrFIfsqDz1kqfJ89pnC4YebnHSSwfHHW1NkWreu/OyL\n",
       "i920a2fQrJk3Kt7hVCv67jv9d8WmspRqRZdcorJli8LChS7OOiu1wVQUGDtWY+7cSqP4008yS5e6\n",
       "ueAClS5dLDm8r7+Ove/5+dCxY2U7yVFHWZNwalsoVloKf/2rl3POyWHePDe5uXDttWEeeijE0KEa\n",
       "DzzgYdSoHHbvrt5zkMqINpQWcUN7mE4Mw6i2I2GaJpdccgnt2rVj6tSpSV+za9eu6L3buHEjpmnS\n",
       "vHnzWp9vpgiDWQV2E7xzmoazuCTbD2iy87Pl9MrKArz3noczz/QmDUW2agXPP6/yyisy7dpVbTDB\n",
       "moM5bZrCSy/JXHxxoncxdqzGggVuAgE1KgBhiQ/AqFE68+fHPkKjRhkUFckUFJisXy9xxhmVbSh/\n",
       "/WsEr9fqDXznHYndu1Ofl1NC0O/3x4jjZ2OTsi/mMOMpKYF33rE2JvbaFAqBYUgMGRJr0NatU+jZ\n",
       "s/LzjVcr2rw5l549dXJzK1sFVFWNaVqX5Qh/+UuInTslOndO75KNG6fy8svuqHc4e3YO55yj0qyZ\n",
       "da4DB2q8+WbiM9yvX2xYtk8fy8usLuEwTJuWQ5cuTTnyyDxefNFNOAznn6+yfn2Qq69WOftsncGD\n",
       "Na680mpv6d3bn7LnNFNsI+EU9E/lie4rgv6ZEG+sy8rKEsKpVbF27Vpmz57NypUro20jS5YsYebM\n",
       "mcycOROAefPm0bFjRzp16sTUqVOZM2dOVq+jKg4Ig1mTKsj4JvhUo7+yvfA6jxevWLNjR1MOOsjk\n",
       "8MNTG+l27UxkGZ55puowE1gh061bJU44waR168qf22G7goIS2rTRKSrKTahCHTnSSDCYXbqYRCIS\n",
       "vXtbrSeKYr3u1VcVBg7Ucbmsa/P74a9/TVww40XSq5oJuj9Q0+fn5ZctL90w4Oqrw0gSbNmisHWr\n",
       "HNNOAlaFrNNgxrNuncJpp+kxrQJOyT+7ad3vV/F4TFavjqTVIO3Y0cDjgfffl9E0eOEFPxMnVvZd\n",
       "DhqkJ+3X7Ncv1kD26WMNma4OH3wg06ZNLv/6l5+ffpLp318jN9fE57Ou89dfJb79VmL8eB/t2+cx\n",
       "d66b1q0NDjnEYOLEHPTUt6lGVCecWxsj2tBVss73rsmkksLCQgzDoLi4ONo2MnjwYCZNmsSkSZMA\n",
       "uOKKK/j4448pLi5m3bp19OjRI6vXURUHhMF0komBs1s0wuFwlaO/6sJTsY1VvGLNunUyp5+e/r3W\n",
       "rpU57TSTcBiee65qoQC3GwoKTPz+ytfZ129XoZ57rs4rryQOAO7Z0+Tnn6UY/VBJguHDrf68V1+V\n",
       "0fXKsKzbDSNGRNi711rkFyyQsfuanflRezZpbSqOM8HekDhzeYZhNJrJI1Xx5JPWJJhDDzUBie7d\n",
       "dQNOEDcAACAASURBVJo2NTEMOOmkymswDHjvPYVTT01tCd59N7lBje+3W7fOz7BhGo88kp+gQeoU\n",
       "WjAMndGjVV591c3SpS5attRj9Gt797bylb/XcEXp3Nlg50452pbSq5fOunVKSvWgeObOddGvn59j\n",
       "jjFo0cLggQcCHH64yVln6Xz6aYCePXV69vRzxhl+Onc2+OKLcubNq+Dhh8MsW1aBrsMDD6QZHpsB\n",
       "mawH9WVEG4r9URYPDhCDmamH6QwD5uTkZFSFWRcG09ky4cxTrlsnc9pp6RfzlSsl+vY1ePxxjXvu\n",
       "yU0rgQewYweUlEi8/77M3r2W8IItpWdf/6hRGsuXuwkEYv9WUSwPNd7LHDbMYN06mZYtrfFihYVW\n",
       "WHb7dokLLgjhdluvMQy4804lZuSac9RZKmp7z53tQAA+ny9GscQ0zRjtzLochVTTDcHWrXJU9/V/\n",
       "/6tg0SIXTZuaHHSQyeDBlYL5AJ99JtOihckhhyS/hpISq2ezU6f0z5ZhwOrVCtdeG2HLFoXPPvOm\n",
       "nYYxeHApr76q8MwzMhMmBGPuY34+dO2qs2ZN7OfsckFhoTW7E6BFC5Ojjzb44IOql6pFixQmTfIx\n",
       "aZIKSEyeXEGLFiarV7u4//4QimLJShoGtG5tctVVEXJzY997xowQ06e72batdhu1mnyu6YwoUKUR\n",
       "bUwe5v44PBoOEIPpJNli65wk4szTZfLwZctg2kbDMIyULRPvvmt5j+lYtUqmTx9rlNfFF1dw223p\n",
       "d8tz5yqMHq3Ts6fG7NlqNE/rFF446CDo2lVjyZLEx2X4cJ3XX4/9+emnm3z7rcRZZxm88ooVlh06\n",
       "1OD119106aKSm2s1yTdpAjNmKJSUlNabSo89MNs0zehi7/Sg7Ot26r021DzBdLz4ootIRCIvzyru\n",
       "2bHDkqr77TcpIRy7eLHCUUcZLFjg4r33Kr16m40bFTp31qnq1m/ZIlNQAG3amFxxRSTGE0umVtSl\n",
       "ixe/H9au9TB0aChBrahfvwhLlybOgI2XxevTR2fVqvQb140bZS64IIdx41TCYTjySIM//SnI9df7\n",
       "efDBEHl5cO21XlatcrFxY5AjjjD4178SvxutW5tcc02Em2/O7qCGmpJsKk4qI6rrOpqmNYgnGv9e\n",
       "+6OOLBxABjNZkY6zXQFqphZTW4PpVAlyuVzR/+LPYccOa6Bzmzap3+vXXy1D1KWL9ZqrrqqgqEhh\n",
       "/frk12OaJnPmSAwdWsoFF1Tw4ot5SatQJUli+PAQr76a+Lj07m2ybVvsyC+XCwYPNvD5TBYssHJY\n",
       "o0bpLFzoQpLgggt0ioslbryxlIoKWLy4WZ2P+3JK6NnGMF2YvSqpOltlpyGmZOg6PPusG8OAG26I\n",
       "sHix6/c5ly5275YoLNTRNHjmGTeFhX7uucfLzp0Sc+e6uPpqH23bHsykSf5o9en69Qo9elSduFu9\n",
       "WqFvX8sYX3yxyvLlrrRKPJJk9QwfeaRBbq6ZoFbUr1+It95yUV4eex9791Zj2kl699YSPFEnu3dL\n",
       "jBmTw3HHGQwbZhnXRx4JMXOmnw4ddPr105k5001RkcLrrwc5+GCTadPCPP+8m82bE5/pSZNUPv1U\n",
       "TjupJR117eklm8/q/N7GDzmvr3BubXOY+wIHjMG0sWXVqjtJJN3xavIQ2nlKW/zAqRKU7HgbNsj0\n",
       "6GEkqLA4WbtWpkcPM+op5OVZDed/+1tiAZCmaWzeHOTnn6FfPw8jRnj58UeZjz5K/gaDB4dZvlxO\n",
       "yDm53ZYAwqJFsfdu+HCDoiKFFi1MunVz8/HHMp9/LvPDDzB6dOnvVZ0+CgrghhuqlzOqzj23i7ec\n",
       "m6KayhYmU9lJNiWjrheplSsVysqs8580SWXxYhedOukoislZZ2ls2SJTWOhn3jwXd98dplUrk1mz\n",
       "QrzwQoiioiCbN/9C27YGw4fncPvtHt59NzODuWqViz59rNcVFMDYsSpPPpneLf3uO5nduyUMI1bf\n",
       "1ePxcNJJbmRZYseOJtH7qOs6LVtaylkffxwhHA7TrVuIzZsVgsHE+6jrMH68j3BY4oknKrj2Wi8P\n",
       "PxxC1+Hxx/3cfnsFa9Yo3HuvhxdfrMB2eg45xOS228Jcd503oc/T64Xrrgtzzz21y2XWF3aeWZKk\n",
       "aHWuc8g51K0RTfb3IiS7j2MvkIZhoGlajSaJZIv4ohqnsU61kK9fL9GjR/oHe80aiTPOqLSMkiQx\n",
       "bpyKYRCdPOL0tF5/3c+YMSY+nxtFgYsu0nn22cRHQpIkmjUz6NHDTBGWNVi4sPIe7tljecTvvCOh\n",
       "abB3L7z4okQwCHfemUu7dgotW5r8739u7rpLY/du2LAh+zty5wSTZPc5G60pmeSc4gUCavu+06d7\n",
       "0DRo21YnGIRNmyxvzOu1CrjOOSeHv/0twhtvVHDiidZA8BNPrHwuCgpMrr46zLvvBvnwQ4V331U4\n",
       "7rj0BjMSgQ0bFAoLK8O9l10W4dln3QkhXpuPP5YJh6FZM5Pi4kTDKkm26Hrl8Gifz0deXi79+ukU\n",
       "FeX8Hh7XaNtWZfVqNWGxv/9+N19+KXPZZRHuvNOL32/y5JNuxozxM2hQmPx8k0su8fHkkyGOPjr2\n",
       "vo8fr1FRIbFggRXu3bMHXnrJxeWX+1i82MX77yts3Fj9XsKGwunZxrcN1YcRjfcw97fh0XAAGUw7\n",
       "R2iPm8lWvqw6C28mRUXpPMzu3dMXZbzzjpxgMCXJ5LbbdO68UyEQiBUrX7jQw5gxla8fP17npZcU\n",
       "IimmP9nVrvEMGGCwfr3Ejz/C7bcrtGvnYd06mbZtTU4/Xae0FE46KYzLBa+9lsP48XmMH2/w9dcS\n",
       "AwZY7QeXXpo9iTvnpsCeGlNfEnrpFqlkvY2qqiaVqUtFWRlRfdUpU1TeesuSs7MFz99+28XixRWc\n",
       "c45V+PPeezJdu+okC54cfLDJjTeGad7cZPx4f9rG/U2bFI491sDZI96mjcnJJxspdWPnznUzbpzK\n",
       "8OEaixcnzwmedVZs36VNnz4677zjjm5G+vQx2bAhN2ax//jjCA8+6CEUgmefdbFypYtx4yIMGKDx\n",
       "2WcyU6aUc911fs49V4t6xk5kGW66Kczdd3t44AE3Xbrk8uqrlrc+bpzGqFEqM2bUzMtsjG1QdWVE\n",
       "k4WgRQ5zHycYDOJyuaJVp9l6oDMxmPF5ynRFRcmOFw7Dxx9LdO2a+n1KSuCrrxJfY5omffuG8ft1\n",
       "Xn5Zioafv/lG5tdfJXr2rHz9scfC8cebvPlm8l7T4cMN3n47MSyblwdduxr06uXh888lNm2KMHu2\n",
       "xl/+EuG333ROPFFn7FiZTz+tQJZNli+XefJJS6D9pZcU/vxnnS++kPjmm7S3Me09sq+1tuHXuuir\n",
       "TVa44exttKtyMykqevJJSwxAkmDMGI3Fi10MGaKxdKkLWYa33grStm3lJmjDBoXu3VN7jxs3Kgwf\n",
       "rjFokMbw4TmUlSV/3erVlXMynVx6aYSnnko0KoYBr7ziYuxYjeHDVRYv9iWVuDvjDKu9JL4Cu1cv\n",
       "naIiV7QnsndvnTVr3NH76PPlcO21zQDLs27VyuTuu8u44ooSfvxRpX//MB995OKjjxRuvDH1EIIO\n",
       "HQy2b5eZP9/NsmVB5swJ8Ze/qIwcqXHXXWFWrHCxc2fjM37JqEnuNFMj6my/chrRVO8r2kr2cey+\n",
       "vmyIrzuxF9hUC3iqPGU64o+1ebMlLOAcBBzP+vUyXbuaMdJ2tgEJBgPceqvKffflYZqWd7JggcLQ\n",
       "oUaC5zFhgs7s2ckfi2bNoHt3k6VLY3//6acSmzdbrQsvvKDRsqUlo9e7dxmrV3sZPRrmz3dzyCES\n",
       "/fpFuOkmjVDIGiX1xBMyN95oCb5ffnnNvcB04dfGhrO30VJNkpO2ZSSbfzltmjX38vjjrXz2ihUu\n",
       "du+GYBCuvjpCy5axz87Gjen7LzdutAzqLbdE6NpV57LLfEkFL955R6FXr0Q5vAEDdH76SeKjj2Lv\n",
       "9caNCk2amLRrZ3DyyQa6boVo48nPh06ddIqKYtMihx1mcthhBh9+aP3NqafqbN0qR6frPP20i+Ji\n",
       "hUhE4r//DaGqEhMnSni9uTz9dB4TJ0a4+eZ8HnxwL4YRiGkTssPiW7bI9O/vZ8QIFZ/PTCioKyiA\n",
       "MWNUnnsu80hUY5KnqynpNnnxRjQQCBAOh2NSXVB9DzOT4dEAU6ZMoU2bNpx88sls3ry59hdbTRrn\n",
       "ilKH1IUHkYx0ecrqHm/DBpnOnasSLJCiPZp2Q34kEom2iQwYoNCiRWUuc+FCmREjEhfSMWMMVq+W\n",
       "Y2TrnPds5Eg9egyA776DYcPc3HGHxvbtEqWllSLpbdo04YQTTFq2tPRqVdUqHioultmyxeqB+/Zb\n",
       "K5TbrZvBqlUypaVV3qIYkg2QziT82tik8dJV5v4/e+cdHVW5tfHfKTOTHnoHpYgF6V1qILTQmyhd\n",
       "VNArKqLglatXRSwgoti4gILSey+hhxYggQQQUIrSm4CQnpk55fvjZWYyyUwCGNFPfNZyucgkZ845\n",
       "c+bd79772c/jIsMcOODk2jXppnpSJjExYnxi/Hgrqgp9+3pP9zudsH+/8MD0BdP0MGQlCcaPF6bf\n",
       "48Z5Z4wZGcJpxJewgaII0+jp072DyqJFKt26aTevDdq1y2TlSt+fS8uWOhs35nytWTOPyo/DASVK\n",
       "GOzcKUzTX389gPBwk9dec/DhhzbeeUeU/KOjhVbxxo0BtGhhp0kTJUdG73A4OHAgky5dAnjnnVQ+\n",
       "+yyF8+dl9u7N+d0bOFAEzPxW//kj8EcG67wqJS6xhTfffJMHHniAxMREpk+fzqpVq7h48WKex78V\n",
       "8+g1a9Zw4sQJjh8/zpQpU3j++ef/kGvNDfdswPyj5OzuRPzA37FciImRmDNHpm9f1S+LVThNGF5y\n",
       "fq7xCdHLhNde0/nkE4XLl+HHH4X9VnaEhYmRkAULcj4apmnSsaPB+vVili89Hbp1s/DSSzqDBmVS\n",
       "oYKTHTskL5H0qCiD+HiZSpVMYmJkIiMz2bRJJjgYdu4UzdK2ba3uLPPf/761YJeV6Qy/z0D6r4rs\n",
       "zNy33iqIJIng8cwzmSxdqnLuHJQvr1G4sEGJEplepbLDh2XKljXwx704d05k+S4yjM0GM2dm8M03\n",
       "Fi+yS1ycsPPyV2Hr39/J4sUeYQvDgBUrVLp1EwHcNE3atrWzZo3vzzYyUvPbx4yJUTh1SiIiIojw\n",
       "cNi6VaV790CCg02uXpUYO9bKzz/LPPdcIP/6VwBffGGhSxcnM2eqvP56qvs+Zp21TUsLpn//Ivz3\n",
       "v3a6ddNQFJMBA9KYPFl2l8VdghXVquk3xQ/uLjHwdvFnbP5c99X1X2BgIOPGjWP9+vUUKVIEgM8/\n",
       "/5xHH32UyMjIXI91K+bRK1asYMCAAQDUr1+fGzducPny5T/gyvzjngmYf5RYuuuYuq67xQ9+jwaq\n",
       "r4B5+LDM+vVOGjQwad/ewqhRCna753W7HQ4ckHj44SR3STKrQpALUVEGGRnw6acKLVsaOZxJXOjT\n",
       "R2fePM8CkfUaihcXNl6bN8u88opKlSoGTz11g/T0dNq3N9m8OdiLddyhg8Hq1Qpduwo92UKFDKpV\n",
       "M5k1S+bbbxVCQ8X86LBhKqoK330n8/rrCsuXyzn6Wi64guX/h/JrfkHXhcFziRIGJUqYFC1qZenS\n",
       "AJo107lwQaV1axGcspbKdu40qF3b6ZeZu2ePKNdmfURLlDAZP97OkCGBpKeLn/krx7pQurRJw4Y6\n",
       "S5eq7uMWLuxd4qxb18n580LDNTuqVjVISsKtXORCo0Yae/YotGsXxLPPOhk7NpNlywR7NSNDom5d\n",
       "nfvuM1iyJIP4+DSCggz27FFYtEjlhRecFC+es7bsdELv3oH07OlkwADdHUQHDZKIjg4kIyOnYEX3\n",
       "7mnMmSPfkmDFn12S/bPe2/W+sixTvnx5MjMz3cHz6tWrLFiw4JaP5c88+vz585QtW9b97zJlynDu\n",
       "3Ln8uYBbxN97lfGD/CzHubJVl7HxrfYpb/XcLl8W9kR16pgMHaqzd6+Do0clOne23NRkNdi5M5MK\n",
       "FTSKFPFmhGY/lizDK6/ozJ6tEBXln3EbEWFy6pTk5VnpXZY1+PxzmW3b4P33r2GxiA1C584Sq1d7\n",
       "+xdWqSL+8eijBqtWKRw9KkpqL76oMmmSh+xx+rQYQTEM0bOdPFmhWjUrM2fK7p6aq/zqdDpRFOWu\n",
       "sl//bEyZIoQKdF0iMlLj888taBq8956dGzckBg7Uc5TKEhKs1KnjxOFweDFzTdNE14UvqS9CUJcu\n",
       "GrVr67z7rtAP3rFD8Wss7UK/fk5mzRJl2WXLVDp39g6wqioE11evzvl5ybIoy2ZV9wGxSdB16NRJ\n",
       "47nnnISEmFy8KBEaahIaatKxo0bBgiITLVHCJDxcqAQlJoqNhS+MHWslNNTkzTe9qeBFipi0bKmx\n",
       "dKktR1n88cdN1q2zkpzsv7f8Vyrv32342iQYhuG1Dt2qBVdu5tGu98qKu71B+Cdg/g64xMJN02PU\n",
       "m9+ZTny8TJ06ppucU7w4LFig8eCDBi1aqJw8mUxcnIVGjaRbYoR262Zw9SpeXonZoarQo4d3lumC\n",
       "aZo0aZLJ1q0yn3ySSsmSoe4NQpUqJqYpSEAuSJLIbBMSZAICoGPHwrRqpVO4MCxY4KRAAbFgFixo\n",
       "ugPjjh0yX3/tZPZs4e/Zt69KcrKn/Gqz2XyqId0OcnsG/oqL3/jxVgoVMrlyReLJJx2MHWuja1cn\n",
       "69dbsFhED9gFV6ls3z4LDRvK7oXfVaIH8ezu2iVRrZpvZu7YsXYWLlTZt0/mwIHcmbYg5imPHZM5\n",
       "cUJi5cqcAROgQwfNb1m2RQuNTZs8z5uuw8CBgTz6qE5oqHg2evYMBKBzZyeVKxvMmWNhxAjh0qLr\n",
       "MGeOhfR0eO01B++8Y2PXLovXMxIbq/D99xYmTcr0KQDSu7eTOXO8e7GSJFGypHyzxx7is7ecVfXJ\n",
       "4XC4tYrvtjTdX6Udcafnkpd5dOnSpTmbRRz73LlzlC5d+ned6+3ingmYtyrAfitw9SldZsq5yazd\n",
       "LrKfW1ycRN26nsVQZAcO3nnnGs2b23nmmSLEx9t8asz6us64OIlSpWDu3NzPt1cvg3nzZHe26FKz\n",
       "SUlJ4ZtvZAoVMgkKCvS6bkmC9u11Vq3yfqxat9b54gsFSTJp1crBhx/qBAXBwIEWFixwUq+eyA5c\n",
       "Qdw0oWFDKzExEjVq6CQkmDRuHMSNG6L8+kcuDH+VRScrzp+XuHJFlCADA2HBAitWq8ngwU4WL1ap\n",
       "UkXPEQCuXZO4etUjWJCVVCSuMZDjxy3UrSv7lPsLCcnk3//O4IUXAnjkEZ28rA2tVnj8cWHGbLPh\n",
       "JZTgQkSERmKi4tNzMiJCZ9s2Fe1mnB03zoppwqhRDrZtUxg1ysaFCzLVqunExFioWVPHNEXWCqJs\n",
       "HBhocu6czIgRDiZPzuRf/yrAtWvixqSlwXPPBfD555k33V1yokULnbNnJY4dy7ksdu2qsWyZJ2PK\n",
       "TfUJyKH6dDelE+82fAXI2w2appm3eXSnTp2YMWMGALt376ZAgQIUL178zk/8DnDPBMysuNOA6U+k\n",
       "PT9HVbKf2969IsME70AdEhLMxx8rlC4NGzcK2by8jgWwfr1Mr17C+Dk3s9x69Ux0XSIxUfJy9zh5\n",
       "MoClSwMZNMjIIboOIpvMqgZkmrBkiSjDzprlJCbGxp49cPWqcCxp3Nhk8GCdCxckZs92Isvib27c\n",
       "gHHjFC5d0qhY0eTKFYWqVYP44AMFXb87TOe/CoYPtyHLcPaszAMPGKxdq7qzyoMHFZ/ZXG6CBSBY\n",
       "rw89ZBAS4n/h7907jatXoUAB7ZaG2Pv0cbJsmYUOHZxeAdz1u0FB0LSpUPbJjuLFTcqVM9i3TyYh\n",
       "QeabbyxMnZpJo0Y6Bw4oTJpkISAABg92cuGCxIEDCi+95HC/z4IFFiQJXn1VmJRHRup07pzByJFC\n",
       "MGH8eCu1a+u0a+c/U1ZVMdvqEmIwTTh+XGLuXJWMDJMNG9QcM8guuFSfVFV1jwkFBwe7Nyh/tHTi\n",
       "X8mp5E5wK+bRUVFRVKhQgUqVKjFkyBC+/vrr/Dj928K90QDi92WYrnnGjIwMrFYr4eHhXqXX/OyJ\n",
       "Zj2WaUJCgkStWhppaUJaLTAw0Kv0OmqUxvLlVpYtU3jppby57+vWyUydqnHlisT06Qqvveb7byQJ\n",
       "evXSmT3bpHz5G0iSRHBwMO+/H8Srr+q0aWPQubOF8eO9s5smTUyOHJG4cgWKFoVvvpHZt08o+vz8\n",
       "s0zZsjo9eghW7OzZ4h526mQwZAisW6fw1lsa776rYprgdEokJNjo08egVCmD+fNlPvpIYdGiUFat\n",
       "Ssl1LvVW4bL0cpUx/2owTdiwQaVWLdGbK17cICJCJzjYZPJkC6mpMGBATrPI+Hj/4ySu133NZ7oW\n",
       "fhBZY4kSsH+/FcOwIMu6O1MCQfBQFMX9/6pVDRwOQQLydVyAdu101q5VeeKJnEG+RQud9etVVq8W\n",
       "GrglS5o3/xZCQ02ionSuXpWRJGFZ1ry5xu7donKxbJlKaKhJv34eZu6IEalERgYxY4bK9OkWdu1K\n",
       "z+t20727kyFDAihZ0uSTT6wYhpgBFffCZONGlS5d/BOgssvTZe+xu/xWdT3nvcx6P2/3WfwrZa5O\n",
       "p/O2VdRc5tF54csvv7zT08oX/PVWiLuAWw1wrpmtpKQknE6nX5H2/J7pcx3rxAkICTEJCPA/OrF/\n",
       "v0yLFgYff6yQkJDTZSTreZ05A1euCDWgf/1L53//U9wlsOzQNO2mn6FKcHAosiyzd69KQoLM88/r\n",
       "PPywidVqcuCA93vabNCihUF0tAiUo0erLFig0amTyDw1TfRhX31VJylJmE+HhEC9egazZslUqOBZ\n",
       "1GQZSpYUgXfqVI1jx8Ts5smTMnXqhHHlyp3fY9eu3zUr6ypHZmRkuK//r1BCW7FCfEZRUUIT+L77\n",
       "TE6elDh7VuLDD62EhoIvPsXevQp16+YWMNVcBQ1AsK9//lmmalWDGTMC85T7O3QoE4vFJDERv0SY\n",
       "tm01Nm9WfcovtmihMW+ehVKlTHr2FA/m6tUK6engcEi88oqDhQtVAgNNNA1q1w5h1CgbzzwTgKqa\n",
       "vPSSw4v5HRQE779vZ+TIAF591eEOwLkhKEh4g86cqfLttxkcOZLGd99lMmVKJkOHOnySlm4Ht6qq\n",
       "43oWb0d/+K+SYf5dVX7gn4DpF65+natPmZtIe35nmCC+ONu3Z1KjhjPX0Yk9e2RatDCZMEGjf3+V\n",
       "m+u9z/PatEkEV1mGmjVNypTJKaaeVQigenWVggUl4uNFWemjjyy8/rpGQIDY9XfqZLB8ec5zatdO\n",
       "uJf8618qY8dqVKpk0ratCKIpKRIXLkicOyfKt6tXyxiG8C48c0Zi5MhQXntNLJYOBwQFmYwbp3D8\n",
       "uESJEjBvnpPwcBObzaRGDSvXr9/+PXYp6Wia5l6wspbQXPf/jxBOv128/bYQFN+0SZQcX3nFTkKC\n",
       "gixLFCxo+nQZ0XXYt0/x6n1nhWGYxMfnHlBBlG0rVzYYM8bO+PFWt6iEvyH2LVtCaNvWydq1Vm7c\n",
       "sOcgwui6TtGiBg88YORQ9gGoUMHg3DmJt97ykHKGDg2gUiUDVYWzZyWOHxfPULVqOr/8ksrmzek8\n",
       "8ojIbPv3z5lpK4ogohUokPfntmiRSocOgUREaERE6Dm0m10ShM6cb+PG7ZYncxMEcJmaZ9cf9vUs\n",
       "/tmi71mRnJz8T8D8/45bLclmV45x9SnzOnZ+PbCurEbs2AOpX1/OdXRizx6J+vUNevY0qFHD5IMP\n",
       "/JN5Nm2SiYz0LALPPKPzzTfiEcgq4wceHdaePQ0WLVJITFQ5fFimf3/P33fs6LuP2batyCZ1XcyH\n",
       "Pv20ykcfKWRkwFNPZVCkiEnNmlZ27JCYPl3ixo0kFEWMlDz+uMHbbxtYLKIceeiQTIcOBs8/L8q0\n",
       "zZqZtGql0bq1E5sNGjWy+NQo9QXTFP6nycnJyLKM1Wr1Kh1lLaH5yqSyj2e4htv/qMUqNRV++UWm\n",
       "Z08nu3eL4PWf/wRQqpTJpEkZnD0ru8UBsuLYMSFTWLiw7/M6f148I7kxpUGMkzRqpPPoo6IMPHmy\n",
       "/++BJEmsXWuhZ0+dWrUMtm4N8/IQdbU10tLSaNUqnVWrpBzM3I8/tlK2rMnZs+L8pk61kJQkYbWK\n",
       "+cn+/QMpWdKgXTuN8+cVbDahQrRpk0rfvs4cwgq6Du++a2PkSDsff2zLNdDNnq3y1ls2VqzI4PXX\n",
       "HT5ViUqVMilf3mDXrj9WxCC70IIv/eHsz6J2s1T0ZwXO7Bnm31F4He6hgJkVvgKcazG9E+WY/AiY\n",
       "Ljm7lJvq12FhYezfr+YquJ6WBseOSW7ZvPHjNb77TuGHHzw9FI8CEWzZItOypSfgde9usHevzIkT\n",
       "ml8Zv549DZYulfniiyCGDhWEChfq1zf59VeJX37xPi9dF9lhSorQn23WzODoUQmbDT75JJi6dXU6\n",
       "ddIYNiyFY8dkWrYsyiuvhFCzpsnq1TIWCwwaJLKf1FRBVEpOxq0+9N57GURHW/nySzEM369f3mUy\n",
       "l1Shq7TuYYv6/zyy7/6zj2dkHW7PKpyeX6XcMWNEgHr4YRNdh+Bgk+RkiXfesbNpkxBb9+XCIYhi\n",
       "/rPHvXst1K2bk1mbHTt3Kjz2mDjOyJEOJk2y+BVnv34dDhxQaNZMp1cvJ/PnW9xsUhcRxnX/2rcX\n",
       "c42a5mHmJiQIJaC+fYUSlGmajBljpXlzjaQkoUhksYDdLjFypINr1yQuXhTWXIYBw4d7R0PTNFm8\n",
       "OIjwcJPhw52ULWuweLHv52TBApXRo22sWJFO1aoGdeoYJCdLHD+e8wa1aSOyzLuN7EE0+7PoyuCz\n",
       "Pot/9IbOBV8l2X8C5t8AWZvxHmKNp0/5e8yk7/ShzOqwYRiG+0HTdTh4UKJWLf/HTUgQs4+uIFai\n",
       "BLzzjsYLL6huw17XeR04IFG0qEmZMp6/t9kMevTIZOpUk4CAAJ8yfpUqmRQsaLJ1q4V+/bwbV1y4\n",
       "MAAAIABJREFUT4oiyq9r1njvuMeOVald26BDB4N//1unXTshov3dd04KFjTYvVtm8WKVjh2F+fTF\n",
       "i9LNnpTB6dMSly5B//4GgYGgaaJvV6mSwahRKmlpULCgxNtvpzFunMq8eU6WLJGZP9/352UYQgg+\n",
       "NTXVLVXokgv0VdLKa4OUm+arazzDHxvydjFzppWSJU0mTbIiSSJgpKVJtGmjMX++SnCwb4JNXv3L\n",
       "hARrnuVYXRfEoIYNReZSubJB06a6T2cSEFleo0ZiXKhjR43YWMU90pGdCFO1qoQsS/zyS5C7FD5+\n",
       "fBhDh2bQunUGmzcrTJ0qgpbTKVSA2rZ13tSTNald26BJE41t2xQmTbJSrZqRQ3TeboePPw5h9GjB\n",
       "pB02TFiBZf+a7t6t8MYbNpYty3ArE8kytGvne2ZUBEz/GebdZKtmfRZVVcVisXiJ+Pvb0P3RQfSf\n",
       "HubfDK7F8nb6lHkd706Q1WEjODiYkJAQ92J+9KhEiRImBQr4//v4eJl69bwX4qeeMjAMvAKIaQop\n",
       "u4gIzybBlU0PHOhg/vxgZNm/6EGBAlCunG8t0exl2dOnYeFCmffe0902YR9/rNCzp06rVpnY7RLT\n",
       "pycRHAwdO4ai6xAYCLGxTrZuFXOf330nU6uW6V4EDx2CmBjBwvzqK/H5dO/uIC1NMGm7dTN47jnV\n",
       "7WThukZXiVmWZQoUKOBTqlDo7P6+Bc7fXJ4ri70TIsfBgxIpKfD4405OnxZlySeecNK4sY6qws6d\n",
       "Ko0aeTO2nE7xTERHqxw7JjNxooWNG5Ucfd6EBEueAfOHH2RKlTIoXNjzsxEjHHz5pcUtmZcV0dEq\n",
       "bduK8wkJgZYtPXOLOe+XCDzR0erNa1XYu1fluecMata0YrfLfPRRGM2aOdm+3cobb6QSFKShadCv\n",
       "XxoOh4NGjZxs3qxw4IDMyJH2HO8xe7aVBx/U3D3eyEjx/5gYz/f74kWJAQMCmDQp08sSDUS/0lfA\n",
       "rFnT4MYNKYeM35+NrBu+vDZ0+a1W9E+G+TeF60PNGixvtU+Z13Fv52Hz5bCRvZe2b1/u2SVAfLxE\n",
       "3brevyPLMHasxltvqWRkeB7iLVsE4Sd7Nl2zZgAVK+Yk/7iQkgKHD0tcvCjjdOY8nxYtDBISJPei\n",
       "/OGHKs8+q9O8uUlGhsTOnRIzZyoMHXoDhyOTli0dxMUFM2qUxoULEjExMqmpEvffb7Jtm5OwMPjk\n",
       "E5Eh9+tnUKQIpKZKNGumY7HAxIkK27fLbNhgoX9/g7feUpg0SbvpmiEWuKzs19DQULcQ/N2Eqx/q\n",
       "MkDOTuRw9aAyMzMxDCNH+ezNN8Xs5ebNYoF/+mkHMTEqHTs62bxZJTzcdPtTXr4sMXq0lcqVgxk6\n",
       "NIArVyQCA00uXpT59FMr1aqFMGRIAIcPy9jt8OOPwiQ5N2Qtx7pQpYpB3bo6s2d7jwzoOmzcqNC6\n",
       "tSeA9+yp+TWWBsGWdQXMjz+28tJLDoKCRDCtXFnn2jWJU6fErOiLL0rExYkeZJMm4h7Vr5/OmjUK\n",
       "NptJixZpXvfP4YAJE2wMH+4RI5YkGDLEyeTJ4tw1DQYMCGDQICetW+e8F02b6hw5ouQw1ZZlMf7i\n",
       "Sywe/tx5SH/vm31Dl5da0e0ILfh6PTk5+Z+A+XeAK7PKyMjANM18c7i4nTGV7MQaX+8vSRIJCXKe\n",
       "ATMuTvbJhGzUyKRePYPPPxfZamamyZ49EjVrJvvMpgcM0PnuO9+Pwty5ItCWLSuslbIjKEj0KNet\n",
       "kzlzRtiGDRum38widEaPhq5d0ylb1kJYWBitWjmJjlbo3l1I9JUpYxIaCtu3SxQsCJMmOUlJgUGD\n",
       "VHr21LHbxUD5li0KGzeKXuZTTwUxfXoAM2bIHD8u0aWLhbff1ti8WWblSjspKSl+S8x/Fvz1oFwb\n",
       "tazls6SkdLZvV6lQQefQIYXgYDFQv3mzSlSUzvLl4prq1dOZPt1CgwZB3LghsXFjOp98YqdGDYP3\n",
       "33fw0Ud2Vq/O4MCBVB56yKBTp0BeeslGhQo6wcG5n++uXb7tvF5+2cmXX1q97K727pUpVUqwrl2I\n",
       "jNQ4ckTxa77cpInwt9y1S2b3boVBgzw9yOPHFQIDhVDDxImZHD0qc+2aTLlyJgcPBmCz2ahZ00ZK\n",
       "ikzDhlqO8uOMGQYVKmjUru29CXn8cSe7dqmcPSvx2WdWAgJE1uwLNpswt964MeczL9xV/lruJbeb\n",
       "HealVuSrtZBbEM26hqWlpf0TMP8OSElJcY8S3MlwsD/cSsC8lXnOrMdLTJSpWdN/3+vCBcjMhAoV\n",
       "fL8+ZozG558rXL0K27c7qVTJSeHCis9sunt3g9hYmWxuOpgmTJ2q8OyzOp07O1i2zPcwcvv2BqtW\n",
       "yUyapNCvn06BAqIvW69eKjt3Whg+XHFvDJo3d7Jnj8Lu3TJWK4wcqZOWBpMmiQWoUyfRk42Nlfj2\n",
       "W4VHHhE6ujduwAMPmDRsKMyIp0xJIT7eyfz5To4ckXj/fYUCBQyGDQsmJCQ8T13d/J6dvRO4Fi1J\n",
       "krx2/kuXilJ1aqo4f1U1OXXKSbVqTgIDnaxdq5CcLPHhhza+/97C6tUZTJhgp2JFk717cwoWFCok\n",
       "zKVjY9M5eFDh4kWZS5dyIzwJ3dXsGSZAgwY6RYuaXizS9etVr+wSRMDp0MHJkiW+Nyw2GzRrpvHu\n",
       "uzYGD3a6RShOnpS4dEkiPR3KlzeoX99gxQrBkO7Wzem22fr5ZwnDgFq1DK/yo80WzBdfhPDqq+nu\n",
       "Daorc1JVO9262Rk/3sJXX1n46qtMv0pIICQdfRF8WrTQ2b7d9yzpn4n82Pi7qiK+Wgu+1IqcTo9Q\n",
       "hAv/lGT/JggLC3NnHfktrebveNl1Z119ytygacLSKzfT6L17RXbp7ztSvrxJ165OJk0KYft2lYgI\n",
       "ya+LSnAwdO1qMHu293nt3SuRmioREWHSqZOTVat8G+lGRQmPzO++Uxg82OHuy167JsSyixf3vGd4\n",
       "ONSooTNihEL//gabNsmMHauxdq3Mr78KIlHjxmKsZPlymdRUMW5itYqe05EjMg0b6nz7rZA8a9dO\n",
       "o3x5jddfT8Nmk7h0SWbatL9GVnknkCSJCRNEOfbyZZnSpU2aNdOJjg6kY0cHW7ZIFCyoAybFijlZ\n",
       "vfoGlSs73M9fbgzZ4sVNHnzQoH59B61aBfvUTAU4cUIiMBDKlvX9/L30koOJEz0Emg0bVJ9lzR49\n",
       "NBYt8q/40rChRny8wjPPeCLP66/bsFpFQI2KEkF4wQKVIkUM+vTR2LZNfLYuzdozZ7yf2RUrLJQo\n",
       "YdK0KV4Sda7MqVevdGbOtPLGG8kUKZKeq0Rd69bCpzO7uEeRIiYVKhjs3evbnODPKMn+Ue/rq7UQ\n",
       "FBTkbiG5xlnS09NZvnw5o0eP5tdff8VxG7uJQYMGUbx4capWrerz9ZiYGMLDw92SeWPGjPn9F3aH\n",
       "uKcCpi+WbH4d19eYSnp6+h35Y544oVKypElum7T4eMmtMZsdriA9dGgyc+cGERNjcxN+/GHgQJ3v\n",
       "v/eIrQNMm6bw1FNCj7RiRZMSJQy2b895/sWLC7eRBx/UKFQoGavVSkhIGN9+a6VGDZNNm7wfs5Il\n",
       "DTRN4s03Ndatk+ne3SAoCAYPFovhsGE6p05JtGlj8NNPEqoqSr9Xrogyr9UKU6cG8Ntv6aSkJPPK\n",
       "Kw4WLQomPl5kKq+95l/z81bwZ2afv/wiceaMjCxDmTIGxYsbPPaYzoYNVrp2hcWLg7l0SUjlffpp\n",
       "Bqrq6Yemp6cTHy9Ts6bdL4lj3z6FN95I4fXX7XTuHOjTn3LXLtVnOdaF9u01fvtNIi5O5vJliVOn\n",
       "ZJ+qQU2a6Jw/L/Hzz76JVWfPKkgSbmH3tDQRfENDDUxT9AvF2JLMM88IhxK7XYxSLVmi0ry5xvbt\n",
       "Hjs504TPP7fy8ssOnxJ1VquVffuCCAiAChUseYpUlCxpULq00LfNjogIjS1b/lpl2buFrKNWrkpO\n",
       "YGAgpUqVQtd19u7dS58+fShdujRdunRhwoQJuR7vqaeeIjo6OtffadasGYmJiSQmJvLmm2/m5+Xc\n",
       "Fu6pgOmCa0H8Y/RfRTnyxo0bGIZxR/6YBw9a8iRliAzT+/yzisNbrVYeeiiELl0ySUyUfbqZZEW9\n",
       "eiaqKkqhIBavpUtl+vb1nEenTg6WLvVeJETZy05ysknRooa7L7t5s0yBAiZPPJFdjF1i3z4FXYci\n",
       "RaBhQ6H206uXwZ49MuvXS0RGmigKzJmjMHmyi3kpSrWbNsls2aJQubLGe+8FMHFiYXbuDOD0acEM\n",
       "njfPiaZBr17/P7PML74QvpeGAcnJMhcuyFgsJo88oqPrsGSJSvHiJi++6MRq9e6HXrsWgN0uUaaM\n",
       "0ycT8uJFk6QkiQoVdPr2dTJsmIPOnYO4csX72YyN9d2/dEFRYMgQB5MmWdm4UaF5cw1frWJVFV6W\n",
       "y5blJNRlZMDChSqVK3uEACZOFL3R9u11GjfW2blTZdkyERD79NGQJEHG+eorK6oKAwc6UVWREYMg\n",
       "KqWkSG4Hk+y4dEli/HgrQ4Y4mD/f6leiLqu6TtOmmaxbJ1oqx46ZLFqkMH68ldRUySeL9u+WYd7K\n",
       "+7raW3Xr1uXdd9+lUqVKHDp0iB07dtCnTx8CAwNzPUaTJk0oWLBgnu/zV8A9FTCz7jj/CLiG4+12\n",
       "O6GhoYSEhNxRn3TvXhVVNXzS90EspgkJErVrix5n1llO8CYTPfaYE9Mkz4xLkqBvX4NZs8TitXy5\n",
       "TP36BqVKuV6X6NTJwYoVHkNnVya7ebNOwYJw4IAVSRLX++23CoMGCXeIdes8fxMdbSEkRGQVhw5J\n",
       "PP64wYIFMp076xQrZjJ8uMqPP0o3r8Okb1+DNm0Mrl2TqFjR4NIliXr17Bw+bGHatABMU6JSJZPq\n",
       "1U1GjVJ55x2VBx4QYzSLFvm/93+FHmZ22O24Gaht2mjcf78YEdq7VyUqSqNjx0CKFTO5fl3KMU4k\n",
       "+t5W6tQxCAz0zYSMjdWpWdOOLIsA8PTTGXTr5qB//wAvFRx/hJ+s6NNHsHVXrlTdIxu+0KOHxtKl\n",
       "OQPmwoUWatc26NJFY+1a0aP84gsrJUqIPuyLLzo4dEjmq6+slC1rcPCgzI0b0Ly5xsqVKpmZgjnd\n",
       "pInO1q0icH3xhZWhQx1++5JvvWWjf38nL7zgJDrauwrhT6KudWuTJUsCaNs2jA4dglm4UObaNY3M\n",
       "TJ3jx2WuX7+3zaN9ITk5mfDwcMqXL0/Pnj15/vnnf9fxJEkiNjaW6tWrExUVxZEjR/LpTG8f91TA\n",
       "zIr8XDBdx0lNTc0XdmZiosqRIwrly1t5912FtDTv148fF4zSIkU8IxSZmZk+NWd/+slC1aoGX36Z\n",
       "d/noySd1li2TyciAWbMU+vb1NiWuWFGnUCGT2Fjc5War1cqCBWE8/7wg54gRFIiJEVljxYrCaWL/\n",
       "fgnThE8/DeTVVzNp105knp06GezYIfPooyaXLkmULm3Svr3K889rnDkjkZYGU6c6sdvhxAkZRYFD\n",
       "h2yYpigTN2liMHSozsKFQuO2Rw+dX38VZdwhQ1QuXbrjj+GuY+VKFYdDQpZFX7lyZVGOjY5W2bFD\n",
       "2Jr17OmkaFHfsnf79nn3L7MzIX/4IYh69Ty/73Q6GTbsOgEBGm+8oeBwODh/3uD6dcmnn2VWhIdD\n",
       "jx5OtmxRiYz0797RoIHO9esyx455nj9BJrMweLCDtm1FwFy/XiYtDV580U5qqsTBgwoOhxDaDw83\n",
       "+fhjK48+GsLSpSpXrwpv0JAQYRe2davQGt67V+bJJ3OSUEDMp27frjBihIMiRUzq19f9mlm7cOqU\n",
       "zPjxAZw6JTN4sMaPP6Yzb56DMWOcfPZZBnXrOtm2zfQSBnBZ4d3tIPpXymwzMjIIyg8roZuoVasW\n",
       "Z8+e5cCBA7z44os+zaXvFv4JmL8D2eX0wsLC8mRn5gVdhxMnFFasSCM+3sHPP0tUr25l507PMffu\n",
       "lahdW3fPcgYEBBAWFuYzSMfGWnjuOQfTpuUcYM+O0qWhdm2T77+XSUiQ6NDBe9E0TZOOHZ3Mn6+5\n",
       "y80ZGQGsXSvTu7fuNo+eMUOha1fD3YN1BcfduyWuX5fo0MF50+ZJJjRUqP2sWiXGVyRJmB//+9+i\n",
       "r/nZZ2CayURF2dF1ePBBgwsXJO6/X6NePYP//U8sxEFB0LevzpUrErt3C3UXux2eeUbNU2v2z5qb\n",
       "y47PPhPl2N69HWzYoGK3Q5EiBqGhJleuyNy4IVGokFjsfcEXQzb7667M1EXiCA0N5ttv7axfb2PV\n",
       "Kgs7dpjUqWMnMzNvZZjGjTUcDihUyP8NlmVuMqw9mopxcTLJyRItW+pUrSr6ki+9FEBAABw6pGC3\n",
       "C0PoiAhRht20KYM1azL44YdUkpPFZ1WwoHjP5s2F8fT//mdl4EAnWat/nrlrkV3+5z92d7+0Rw8n\n",
       "Cxf6JyStXasQERFE27ZCiD0oSJSiswoDNG9usnt3cA7N3Kw95XvRPDq/rfJcs9QA7dq1w+l08ttv\n",
       "v+Xb8W8H91TAvFUB9rzgS04vvx6QY8ckihUzCAszKFcOZszQ+OorjSeesDB1qvhC7tljUKWKqNe6\n",
       "RNJ9LfqZmXDwoEqHDk7atzfcoxu5oW9fna+/VujY0fBafFxiD23bphIdHUhwsCg3z5sn07q1UIRp\n",
       "3170I7//XpCFXHA5lUyapPD006IkWK6cyb59Eh07quzZI/Paayp79khs3SpTu7bJ2LEyTZs6mTVL\n",
       "ITAwkOeekyla1OTECRlVhV9/VTh8WGb3bplTp8T7DB5s8P33CiVKwLhxGqYpyFEzZ/r+bP5KC9iP\n",
       "P8ocOiQ+n2bNDGrW1ImPVzh4UOG33+CZZxxUrmxw/LhvH0tdh/37FWrX9h0wdV24j2R/XZIkChWS\n",
       "mTo1k5EjQ9i5M4jGjXHLq/lThjEMg6NHxfylP0UfF7p0sbN8uc29cZk+3cqgQaJ0KklinvTiRZnO\n",
       "nYUG7RNPOFm8OIOLF8Vn/e23Fnr3DqBBg2Di4xUUBTZuVFm0SKVUKZNChQzmzrXw9NO+1dWjoxWu\n",
       "X5fo3duTCbdvr7Frl7i32fHddxZeeimABQsyePllJy1a+Cb4NG0q5PmyZvIuAkxWZm5u5tH5hT9T\n",
       "MCH7eeT39+ry5cvuY8bFxWGaJoV8edrdBdxTATMr7jRguhSCMjIyCA4O9qtNeqdITJSoXt17R9+m\n",
       "jUFMjIPPPlP48EONfftkGja05Kl5Gx8vUbmyTkiIyYgROpMmKX77oi506mTw888SrVqJhdXF9k1P\n",
       "T0eSJOrVCyYgAPbtE1/OWbMU+vcXv9u4scmPP4r7kJWQ1LixyU8/SURHyzRurDNgQBCRkaJf9eCD\n",
       "JnPnOpFlQcowTbhyxeTzz1UCAgxOnlSw261ERJgYhihXhocLFZtTpyQiIw2mTROLmauXuWiRzKBB\n",
       "BiEhkJIiMXKkt2weeD5/u91Oamqql9bmH/GlzwsTJojssnp1nZUrVZo10zAM2LNH4fPPM9m2TaVr\n",
       "VzHD6ivD/OknmWLFTPxxJ378UaZ4cdOdmWVH/foG/fo5WbLEQsOGhk95tewBYMMGmV690pk6Vc1V\n",
       "6q92bY2MDDESdP06rF6t0qePJ3gdOSKe4Y0bVe6/32D0aAeGIX7udMKGDQpdu2q8+66d++8Xn2uN\n",
       "Gjqvv25j82aFYsVM7r8/p54siBGt//7Xxjvv2Mk6zRUaKuZAs5dlp02zMGGClbVr093ZeESEzubN\n",
       "OTcFtWoZnDolc+2a52euwJXXOMbv8b38K8FfoL6d4P3kk0/y2GOPcfToUcqWLcu0adOYPHkykydP\n",
       "BmDRokVUrVqVGjVqMGzYMObNm5dv53+7uKcC5u/JMG9Fzi6/AmaNGt4B0zAMihdPZeHCa8yYEcTB\n",
       "gyp16uT90e3YIfPYY2LXXbmySf36BrNn5/53Fy8Kke/TpyUvUXhXcJZliS5dhIPJ8eMS589L7pEV\n",
       "qxWKFTN59FHTaz7UaoWSJU2KFjXp1i2YGjU0jh51MGKEztWrwtA6IsKgQAGTSpU0VNUkJESIhEsS\n",
       "PPusyCqeeEKnenUhyh0YKN7D6YQZMxQ3aWXwYJ3p0xWsVnjhBVFKS0+H11/3zhB0XXdLggUGBnpl\n",
       "VIB7zOBulNTS0yX3vOLEiRnExKgEBIhrK1PGJCpKZ+1alYgIjatXffcXb6Ucm1U/1teCNnSog5QU\n",
       "OHXK9wKYNQA4ncEcPWrhpZecXLggk5Bg+rU+kyTo3NnOkiUqCxZYaNlSo0gRcS8vX5bc86AFCpi8\n",
       "/LJQemrVKhBdFxJ6bdro9OypsXGjSrVqBi1bahw+rDBtWibPPhvA8eOyl4sOeBbyBQtUChUyfTJn\n",
       "u3TRWLrU8x1etkxl7Fgry5alU6mS57OuUsUgNRXOnPG+LxaLyI5jY2+Nr5CX7+Wd2sf9mUHW1zjd\n",
       "7WLu3LlcuHABh8PB2bNnGTRoEEOGDGHIkCEAvPDCCxw6dIj9+/cTGxtLgwYN8uXc7wT3VMDMij9C\n",
       "zi5/AqZMtWoe9qurRyrLMg8/HMqnn4pSY/bZRl/YuVPmscc8X7iXX9aZOFEht0rQokUKkZE68+ZJ\n",
       "XqLwWTPZrl0Nli0T5dgePXT3SIHDIebmsmex6elCweXKFYnNm1N5+eVMgoNFqXbDBhm73eDYMROL\n",
       "xaRfP53GjeHjjzXOnhUOK6tWKTz9tEqXLgYXLgiFoMxMiV9/hTVrxOxo7doWatSw8PXXComJEhs2\n",
       "SDzzjBjFKFPGZNYshSNHJHfGnJGRgSzLhIWFoSiKV0YlyzIBAQE5Mqo/ykz6q6+C0HXBHD58WKVp\n",
       "UzHwn5EhXDaio1Vq1tQ5dUqmVi0dX7oXeVl6xcfn/joIEfRHHjF4+20bN27kfs7btqnUq6dToIDK\n",
       "oEEaM2eG5PBsdJVynU4nHTqks2SJysyZKv37e4ba33rLiixDYKDJ+fMyjRppREYGcf68zEMPGTz+\n",
       "uMbmzQpJSbBundBHbttWo0IFA6tVlFbT0iSOHpVzKO9oGowbZ+M//3H4FPho21Zj925x7D17ZIYP\n",
       "t7FwYQYVKnh/rpIkZkq3bfNVltXZvl38/E7k6XKz7Lpdt5G/goatawP6d8U/ATMXuMZEfPlE3snx\n",
       "8oJhCJeKmjWFt13WHqlLQPz8eYlWrQyGDlU5eND/F0TThLl0gwaeL1fjxibh4bB6tf+e3oIF8NRT\n",
       "SSQlyZw5E+7OorNeX82aJk6nxIwZMt26GezaJbFwocwHHyhUqGASFyeYtiDm7SIiLG5h7ax2VGXK\n",
       "mJQsafDBB0JwIDRUokIFhbVrFQYMMOjbVzikaBpcvgyvvqpitZo88ohJeLjIXDIzhf1XeDjMmqXx\n",
       "8ss6Dz9s0quXhVGjVJo0EaMoxYrBwIEKSUlJ6Lruvp+5CVZnzajyMpO+U8cH04QpU4Swa+/eDubN\n",
       "s9CihUZCggxIdO/uZMEClccfdxIX57t/CbefYfrCrl1CQD0qSkjW5YbNmxVathRl1f79nSxfbiE5\n",
       "2XcAUBSFGjWEBOLlyxJ16ghN4ytXHCxcKErRjRppFCxoMmBAIF26aFy7JtGrl5OICJ0dO1QWLrTQ\n",
       "pInGnj0KERE6zZuLvuKVKxKlSxuoqklcnHdAW7jQRqlShlukPjtCQ6FRI52FCy0MHBjIV19lujer\n",
       "2dG8uU5MTM5MslEjjR07vN/39wSuW3Eb8SWUDn9Oppm9JPt3Fl6Heyxg3mpJ1jVfmJaW5vZQzGtM\n",
       "JD8C5smToj8XFJTuXtSzW44lJAiSzYQJGo8/bsnRm3PhwAGJsmVNLwajJIks87PPcooPOBwOEhNT\n",
       "uXJFpnXrIJ54wmDuXN8kIUHUMPj1V4lu3SwMH66ydKmQxjt5Umh8vveeKJM++aTKtWswerR2M5iK\n",
       "8pPrHkdEZDJ1aijvv2/Qr5/Btm0ygYFiDGXkSJ2kJImAAFFerlFDzGNeuWKSkiL6naYpNhonTkiE\n",
       "h5u0a2cwZYpGeLiQdtu7VxhSP/aYnR9+kNm9O/SObNyyz+llzwZyI8fk9lwsWKC6NWP79XNy6JDC\n",
       "3LkWAgLEzKEkwY4dKh07asTF+e5fpqSI8YuqVX0v9snJcOaMTJUquZNM9uxRaNBA5+237axcqXLg\n",
       "gL+NlfC/bNlSnEvx4ibNm2ssWJCTdeq5b4KMVaGCSWio6IdOmhSArgvlp2vXTC5flmjc2EGNGqKH\n",
       "+fjjGoULm1SsaPDNNyr16+uUKmXcfD+d9etVtm1TcTpFr3rJEs9n6nCYTJgQxKhRuUu0RUU5ef99\n",
       "K717C+a2P7jGV7J/lDVrGpw+LfskD+UXbkUoHfBJKrrbQfTv7IUJ91jAhNzl8X6PnN3vhWma7N7t\n",
       "pEoVB4qiIMuyT8uxfftEz+/xxw0iIw2GDfMdyHfulGnUyMxxnV27Gpw6JbF/v7gmV+DKyMhg/fpQ\n",
       "unQxsVhk+vQxmD9fcWvHZj+OJAk1nrg4B7t2Ofn2W42MDPjhBwc9exrMmKFQubKVpCRITpbo1cug\n",
       "bVuDdetU9+yo1WqlcGErmZkQGWnSu7fO4sUybdsKtm2lSmLO8tFHhcrPqlUKZcqYnDolExRkUrGi\n",
       "icUi+r5t2nhEF6pUMSld2qRxY4P//S+dlBRYu9ZKs2YGL7wQkF8fmd9s4HZKuaNHi/JVmTImmzZZ\n",
       "eOQRnUuXZMLCTKKiNLp1C6JePY2gIMFy9ZVFJiYqVKkiSpS+kJCgUK2asEfzB01zjZ0IEYpRoxz8\n",
       "+9+2HAEChHyfw4FXL3XQICfTp1t8/r4oz4qgfuaMyJx1XeXLLwOxWIQV2OHDVkJDTaKi7HzzjYUC\n",
       "BQwKFUolMzOTWrUcnDypkJkJzZqJ62/YUOfgQUEKGj7cSe/eThYt8tyAJUtslC5t0Lhx7ln1yZNi\n",
       "XGf48NwDa/nyJlYrHD/uvWRaLFCnjs6uXepdZapmrYBYrVZkWXaTiiRJ8iv3l98B9F7ywoR7MGC6\n",
       "4EvOzkVwuRM5uzvNMLOOqBw4oFC3ruLXciwjQ4ydVK0q3mfcOI2EBIm5c3N+jLGxEo1mk542AAAg\n",
       "AElEQVQaGTnOy2KBIUN0vvpK9hIfCAsLY+VKC126iAXm4YdNihUz2bo15wbDNEU2EhgIDod4fd06\n",
       "IRZfogQMH67jdIKmmRw6JBSDChSAyEg70dFiNEaMwwSwapUg9Jw/D2XLinJvaKinbDxsmM7FixLJ\n",
       "yfDYYzo//ST6mk6nEC6QJDEyoesmM2d6MoA+fZxMm2bQvHk6zz4rWJqPPGJy8aLk18osP3A7pdwd\n",
       "OzTOnxfM3z59HMyapfLDDzL33SfEA8aMsXHhgsTAgU4OHZIpW9bwaSieVzk2Pl7xaQOXFYcOeRtG\n",
       "DxjgJClJYsWKnBuyzZtVmjfXvfqCTZvqpKdLxMf7vrcbN9qoWlXHZhN9+jlzhFpPUJBg8AYEmAwa\n",
       "5GTduiC2b7fRpo3u7odmZooe59atEg0aiF7e3r3GTQlEB0895eSDD+wkJYn5ScOAiRMDGT48I9dr\n",
       "TkyUmTnTQo0aRo6yanbk1sds3FjP8+/vBlwVEH/Pnkvu73ZJRbnBV8D8J8P8G8IVAFxjIv4ILrd7\n",
       "vNtB9hGVI0ds1Kzp/1g//CDxwAOmez4yKAi+/15j5EhvRRvThNhYmccey7lImqZJv36ZrFghc/my\n",
       "xxP07FmJU6ckmjb1vO8TTxjMm5dzIdi/X8JiMeneXbBlARYvlune3cUwFVJ8X36pUbSo6Glu2pTB\n",
       "ww+ncv26woULYke8bZtEUpJwO3HpzT71lE5srMyZMxJnz0L9+iJbtNlg/XqFJUucZGRIFCoknE4K\n",
       "FBCL2fLlChaLya5dQoWodesbbNliA0IZMUJkX1OmKDRvbvDmmyrguce+Nif5qTPsr5Q7YoRYWGQZ\n",
       "HnoonQsXJAYMyCQuToiSv/22HdOEqCidPXty61/KufYn4+NzD6iQUw5PUeCjj+y89ZYtB5kmJkah\n",
       "RQtvdR9ZhqeecjBtmu80d948G717O+nWTYyujBljQ1EgLMxk0yaV996z07mzxtKlKoGBJu3b6zfv\n",
       "m4Vdu2zY7RIJCVaaNYNjxyw8+WQohQsbyLJGeno6AQF2Hn5Y5403bKxYoRASYtK0qe+5TBDP6LPP\n",
       "BjBunJ2uXZ15qv6AZ+4yOxo10omN/fMCZm6jHf6YudmJWbdCKroV/NPD/JvBo/4hdlwpKSnYbLYc\n",
       "YyJ3ctxbfch8jaioqoX9+yVq1MiZFbog9GO9f16jhsnAgTqvvur5wv/8s4TVCuXKeZ+Xq/waFJRO\n",
       "58468+d7BBdWrZJp187wEtHu2VNn5UpB4Ml6nCVLZLp2NejcWWf5cvH6+vUynTsbZGRA//4qkZEG\n",
       "W7YIubMvv7zOwIFhXLxYgFatdNavF/d5wgSFV17Rad/eEzA7djQ4ckRkx2vWiJ916iTUYAwDmjc3\n",
       "mTnTycWLCoUKiZ8VK2bicECdOhrTp+sYhkH58mE0bmywcqVCmTLQpIm4tsOHRb9pxgz/C9wfXVaT\n",
       "JImLFxUOHxYLe8mSOnPmhGK1wpEjwmfxiy9ucOSITvfuGRiGgz17JJ9B0TRzzzDF67kHVIDdu0X/\n",
       "MiuaNtV54AGDadM83wtNg+3bRYaZHX36aKxereZg2F67JrFzp0qnThrdumnMnSvk7SpXNsjMFBu/\n",
       "fv00atQw+O03ibQ0icaNRUDeu1dGksR8arFiJpqm8uSTYdx3n8mQIU62b/ewmXv0yOD6dYn//tfK\n",
       "iy+mYhi63zLkuHFWqlQx6NFDkJxcera5wZVJZv+9WrV0jh2TSU7+a4gH5AZ/zFx/QhV5BdF/SrJ/\n",
       "c7hGNTJu0jhzU8q5HdxKwMxNJP3cObGrL1nS/7ESEmRq1cqZNY4apbN/v8SqVeLj3LlTomFDw31e\n",
       "hmHkKL8OHWoyZYpnfnHFCoVOnbyPXaqUKJG6Ape4Bli2TKZLF4OmTU1OnpSYM0eUY4sVE2SfRx81\n",
       "GTbMzpIlEl262OnWLYCxY3W6drXSqJHGhg02TpwQJtm9exu0amWwfbtMerrwQezdWyzGK1eKctyc\n",
       "OTIhISI4rlwp066dSe3aYmZQ08SCDKIsvGpVIKoqqgS9eok+LMCAAQZFipjcd59JkSIm//2v737b\n",
       "3cLQoQE3y8kSUVGZbNyoUqKEyenTCsHB0L27wuLFQfTurd1Ud1KpWjXFi5WbkqKzcaNMerqw2Prx\n",
       "RzmHX+mpU2LzlJWdnB2m6TtgArzzjp3x462kpIh/JyTIlC4tiDfZUaSIScuWOck/y5fbiIx0EhYm\n",
       "ZhqTkoTW79Wr4nN74gnhOpKWJj7PwoVNd+l53jyh/BMWBhaLSZ8+gXTsqHH2rMwLL4iy8fnzFqxW\n",
       "K23aiBGjS5cU2rQRabGvMuTBgybff29h3Dg7IAQvQkJg//7cl8Ny5cTvHT3q/X2wWISQQlzcn+OQ\n",
       "83t7p3fKzNWzP2wIPe1/AubfCKmpqWiaRlBQkNuWJj+QV8DMSyT9wAGZ6tW9B/6zH89XhgkQGAhf\n",
       "faXxyisq6emwa5cox7qyaF3X3b1ZV4CuVs3k/vtNVq4UGde+fUI1JzueeEJn3jzZ/YU8ckTMQNau\n",
       "LQg3UVFCaadLF52EBIlZsxTGjEni0UdTuHpVpk0bGUVR6N3boGdPnfnzLezZo/LllzIDBugEBEDB\n",
       "giJT3rpV3I+nnzbYvVtoz77xhsKDD5q8+KIgrXz6qQiA//pXGiVLmiQni/5WsWIGV68qPPSQSXS0\n",
       "OE6HDgZ79oh5zQ4dhODBuXMSpUqJIJtV3/RuIj0dtmxRKVHCwGYziYuzoCiitKfrwmtx82YRQKtV\n",
       "k/nttwBSU2WqVQvAMAKYOTOILl1CqFgxnKFDbVgsBuPGqfTuHcB994XQt28AmzaJXp7oX+aeXZ4+\n",
       "LaHrgtiSHVWrGkRE6HzxhSi1xsT4zi5dGDjQyXffeW9GFi2y0bOnCE4uwpCiiIAZGipIPwBr1qgU\n",
       "LWq63UacTli6VIzUXLkiNgUFCpgUKGDSvbuT0FChwrNliwhUVaoYpKVJhIWZ7NhhQ1VVdxnSxWbW\n",
       "NIOXXw5gxIgUQkM9m4+2bZ1ER+ddVn3sMZ0pUyw8/3wAtWoFU7x4CEWLhpCYqBAT8+f3MfMLeTFz\n",
       "NU0jMzMTELOXhw8fZuXKlfz222+31cPMyzwa4KWXXuKBBx6gevXqJCYm/u5r+z245wJmSEiIe0wk\n",
       "Pxlj/gJm1vJrbiLpQuHHkxVmR3q6KLVWqeL7nJs3N2nQwGD8eIXYWIl69TRSU1NxOBzIsuyzN/vc\n",
       "czr/+5/CunUyzZoJsfPs6NLFYOtWD21+5UqZTp08hI+OHQ0OHJBo00Zn6FCZUaOSKV5c4pdfChAc\n",
       "DGfPet7z3Xd1dF2icGHBaH32Wc/Cm7WPWbmymLUsVsxkzhyFL77Q3CIEhw5J/PwztGhhJzkZHnpI\n",
       "w2KBq1fF3x4/jpsEFRwshN8XL5YJCICePQ00zWToUA1FgXfe8Xyx7yb9fsQIwT5NSRFG0YmJVpo2\n",
       "1Rkzxs6pUzIvvuhg+nQLgwaJ9D8uTgS9yZOt1KoVxubNVp5/Xuf06VS6d9d57jkHy5alEBt7jV27\n",
       "fqVRo3TefNNCREQgK1fmLViwe7foX/pLUkaNsjNlioVr10T/MiLCvztJ06Y6aWnCOQSEYMUvv3h6\n",
       "niNH2ggKEiIX5cuLUrtrVGbJEgtBQcK+7No1ic2bxVxv8eKCPGaaMHiwnVmzLAwcKO5NixZC2ABE\n",
       "uV1Vxc8mTvQ8zFkzqAULQlFVhcGDJa8MKiIijdWrZb9jGaYJy5erbNyosGiRhapVdWbPzuDUqVR+\n",
       "/TWViRMzSUhQ/5SS7N1i52YntLkECiwWCxcvXmTq1Kl8+eWXPPvss3Tr1o0PP/yQzZs353rMvMyj\n",
       "16xZw4kTJzh+/DhTpkz53VZhvxf3XMB0BY389kPMfjxfCkG5lX4PHJCoUSPr2Ib38Q4ckHjoITOH\n",
       "BFhWfPCBxtdfK1y4IFGuXBKqqhLismfwgS5dDI4dEyzb9u19syjDwqBVK4MlS0SWuWqV4vW7NpuJ\n",
       "acL8+U5U1WTQIJWgoCAWL1aIjDRYvdqz61ZVmDrVzqVLCqGhJuXKed4nKspwq/YAPPOMzsmTEk4n\n",
       "fPONOEajRuK9Jk0SJJ7u3Z00by6RkiIRFoa7zLdpk+x2ZnniCU9Ztk8fHdOU2L5dYeBAjcuXBfHo\n",
       "bsI0Ye5cC2XLGpQsKcqTFgvMn5/B1KkWbDZR+ouNVeneXQSFNWsEezY6WmXJkgzmzs2kQweNwEDY\n",
       "t0+hfn3TvYiVKRPIkCEQE5PCM89ksGaNlb17DZKSPP0ocR6eZ8s1f+kP5cubdO6s8cknVvbvV2jU\n",
       "yP/vyrJg2H7/vSjLLl5soWNHOxaLEJlwabKapijhdu2qIctw44ZwKLl0SaZZM43oaIUFCyz07Olk\n",
       "/XoVw4CuXZ3Mm2elUCGT6tXFM9iihRAU0DThhxkVpZGUJHH6tMLBg94b0+vXYcwYK+PHZ6Io3hlU\n",
       "8+YWTp+28Ntv1hxjGadPZ9Ktm42xYy2MHp2JxWLy/PNOHn5YbDJVFdq10zhwQDjM3EtwBdHIyEhW\n",
       "rFhBr169mDp1Kj179uTKlStMnTo117/Pyzx6xYoVDBgwAID69etz48YNLl++nK/XcDu45wKmC66A\n",
       "9EdkFlkVgsLCwvIUSQdBcXdlmFnPz/O673KsC6ZpUry4g4iITAIDTQoXzns0xmqF/v11YmIE4ccf\n",
       "XGzZy5dlTpyQaNJEnIdhGKxaZVChgsaECSFMmGBgtYrFbfFihWHDdGJjJXf/C+C++6BgQeFZmdW0\n",
       "uHJlMef2ww/ifK9dw01AOnNGonZtKyCyzBkzbGRmSvTvb7BmjUKLFsJoOTTURW4SfVaAFi0Mjh4V\n",
       "PeKGDcWGY8kSmffe07BYTJ577u72nd5/34KmgSxLnD4t/D2ffTYNmw2mT7dQt67OjBkWund3EhIC\n",
       "c+aoLFyo0qOHxvLlGV7iBE6nkLOrVctbI1aWZWw2Cz16iHuYkmKhR4/CXL+uuh0ysvajYmMVGjTI\n",
       "fUZvxAgH06dbeeQRg+Dg3K+xTx8nK1ZYSE6GhQtVunUTpbuxY61YLCJYKooYJ+naVTwEq1erPPKI\n",
       "TvXqOp07ayxfrrJ+vUrXrhpjxlipUUPnqac0NmxQ6N/f8+CUKGFSpoxBdLTCunUqb75pJzZWZeDA\n",
       "dL7+2nt3+dFHNjp00NzBNissFlEKj4mxeY1lJCaG0Lp1YapW1Vi79hqdOiVhs5n88IPTaywjLAwq\n",
       "VdI5cODOiYN3ij/LqcTX+6ampvLII4/w5JNPMmHCBObOnfu73uP8+fOULVvW/e8yZcpw7ty533XM\n",
       "34N7LmBmFS7I7+MahkFqaqqXQtCtKMpcuSLGMMqX9/551gVs3z6ZmjV9BzVd10lNTSUjI4PSpRUy\n",
       "MyXi4xX3eeW2ED76qIGuk+si2KaNYK4uXBhIZKSOqgry0o0bSaxZY6FsWZngYKhTR/x+XJxEaKhJ\n",
       "vXomDRqYbNzoecwSEyUsFkFE+fe/PfdGkqB9e53Vq2WSkuD991UGDxbi6Z07O4mL+41q1Rw3Zy4l\n",
       "Fi8OpEYNk+BgIdxepIgo5VksYmTg66/FsYXeqMGyZWJUo08fMZi/fr3C4MFp/PKLxJEjf9xYSXZM\n",
       "nGijTBmDK1dEL89mM+nfP53Dh2UuXpTp0cPJjBmi5DhqlI2xY22oqiiLZn9kDx2SKVfO4zuaHQcP\n",
       "Cj3WJUsyadJEp0OHMH79VQg3uPpRQgJRomLF1FyH3MuUMalQwUCS8r4vxYubNGumMXGilZQU0R4A\n",
       "4QQSFiY+swoVRL/RtUlcvNhCkSImjRvrtGmjsXWrSu3aOrt2KZw9K/Pqqw4qVTK4cUOiSRPvknCr\n",
       "VuK9nnzSScWK4tgPP6yzYYOFy5fFTfvpJ5mFC1Xeesu/QEGbNhrr1nk2UCtWWOjfP4ivvspk9Gid\n",
       "8HBBhmnSRGfXLlsOrdd69ezs3q3+bb0vs8NXwExJSSE8PDzf3ycr/kwm8j0XMLMiv8qyLvaraZrI\n",
       "snzbCkH790s5CD/Z/9YX4Se7MlFYWBiJiSqDBum88Yagyed1jfHxQlFn3jz/j4LVKsq38+cH0q6d\n",
       "wz23evJkGIoik5gok5KCuwy6ZInQmJUk6NBBd7N3Ab7/3kLv3un07KkzbZpC1s1iVJRQ+PnsM4XW\n",
       "rQ1GjdJITYWZM02KFFH48EOFAQN0MjLgP/8JIzFRom9fg8OHRY+yaVPDXdL94QeJ/fvh7Fno3Fn0\n",
       "MQGefNIgKQnmz1cYOTL1ZobnnYn8UV/IyZMtN8djJAxDuLc0aKBTrpzON98I4o/TKVGunMEXX1jZ\n",
       "t0/m448zefhh31ldXvOVcXHidVmG//5XDPi3axfMuXOKu5SWmBhA7doG4eFBPp0zso4W2O1w+LDC\n",
       "r7/mfX8GDhRl2e7dRcl1+3aVGzeEAH+tWjpFi4rr37ZN4do1URa+fFmmSROdwoUhIMCkQgXd3e9t\n",
       "0kRnyRKVMmVM92bQhUaNdPbuVXjuOREMW7bUiIuz0LWr0z0S8+abNoYPd1C4sP/vQmSkKO86nTB7\n",
       "tsrIkTaWLs0gMtI7gxcB05qDUVq/vsaePf/H3lmHWVlu/f/zxM4ZZoaQrkMo3UrX0CCdUmJQAhbi\n",
       "QUEUxEAMRNAXAUVBuruboRsB6RQRRmJix1O/P2723rOZABHf19/hrOs617nc83A/dT/3utda3/X9\n",
       "2v527cu77f8qwkzLHnZbSZ48ebh48WLwvy9dukSePHke2vh/1h45h/lXJL7SsgBLTwBi/WcZgkAg\n",
       "ZFOmY+++tqQkgWQsUSLETBQ4b0pmIk0TlHeDBxvcupU+yXpKW7FCpm9fg4kTU/eXpbRWrXTOnFGo\n",
       "Xj3UO7pqlZ3MmS26dDGIjRXOzjRh/nyFtm3F/TRrJsSjdV0Al+bNU+jY0cMzzwjWmsGDQzv6GjUs\n",
       "TpyQ+OYbhcGDvajqbVq29LFihROHQzzXYcPEc3a7LZo1c+LxwOLFMi++aHA3lqp6dTu1a9t59lmV\n",
       "3bslPv1UpmBBi3z5LDZulElKkujUSefgQZkTJ7SHwnySkQ0b5iBzZuuO7qeIsnv10khKkpg920Z0\n",
       "tMXs2Tb8fkEnuHChh2PH5HQJC3bvVoKajen9PSVCtn9/jb59fXTqlCXY0rFzZwDwk3F/3pUrgsS+\n",
       "TZtkPvtMuidfaZ06Bn/8IVGypDj/yJEuMmcWCNfz52XOnRPR9Ny5NpYts1Grls7x4+Je4+MlPB6J\n",
       "jRtVypY1KFFCaGBOnWqjXTtR00xpJ0+KXs3ApqJBA4P16+28+KKPKVNsrFmjcPKkTK9e6RMZgIiM\n",
       "CxQw+fRTO8OHO1i6NDnN9G2AqCBw2wFQUdWqBnv22HG5BKI0JU3df4L25d2WlqPWNC1NSs8HtRYt\n",
       "WvDjjz8CsGPHDmJiYsiRI8dDG//P2iPnMFPaX3GYARKA5OTkIEn6g9qWLRKzZ8sMG6YQ2EylvLYD\n",
       "B4SztNtD6dfk5ORUzEQHDkgULixEhD/4wOCddxRMM0TUcLedPCmRnCzRs6dJYqLErl1pO3q/38+N\n",
       "G8moKty4ERFsTVm0SOb0aYlBgwxatRKSX3v2SEREWEHnni+fIEHfvl1i/nyZp54yyZXLoEYNC49H\n",
       "cN5u3y7Oa7MJEoIyZXSyZk3A5XIxfLhIsW7cKI7JnVtQ4mXLZlKxosHChTKRkRbnzkls3izjdov6\n",
       "WIAyb+VKP+fO+alZ0+SnnxSKF7dTurSIbpYvd/LKKzeQZRg4MCqYKTAMA7/fH4ysHkaKbcIEFY8H\n",
       "kpLE8wGRjq1fX2fmTBcFC5qUKmVw5IjMY4/BtGkeXC7SFYyGe7eMBNC1Ke2ll/y0aOGlbVvXnRak\n",
       "9AE/KdGlO3eKVOTgwSYzZri4fl3OkK/0wAHBh7ttm0JSksW+fSoJCRIdO/r57TeBZh0wQGPZMpW5\n",
       "c1VKlDApXVqQ7b/7rp2sWU1OnZLxegVhwP79YoPz0ksaGzeqQfYh04SJE+089ZTBunUi8nzySYPL\n",
       "lxUyZxYO8LXXHAwf7kuXazelFSliMmaMnXnzPBQtmvY7L1hQ8CifPh3+vQQEuo8dk1MhSu+lfflX\n",
       "GHb+STVMeLji0U2bNqVQoUIUKVKE3r178/XXXz+0638Q+7/ptP2H2IM4zADxgc/nw+l0EhkZmYrQ\n",
       "/c9O3tOnJUaP1tm9W6ZyZTtduxq89pqE3S6uLUBYEABp3H3egO3YIVO5svg3jRqZfPyxwqxZMo0b\n",
       "p33elStlGjUyURSBSv32W4XKlUP1IcMwSE4WyilbtmShYkWNOXPslC9vcfUqHDsm0bu3QY4cIp36\n",
       "6qvqHUSlGZZefvppk6VLZQ4elOnZU4xvswn0rctlMXiwyoYNfi5c0Pj1Vxv58lnExMQgSRIFC0KJ\n",
       "Ehbvv68SGysihH79DAYNUrl1CxYt0ujWTWXsWIXGjU0cDli7Viy0hgGVKtlxuYSih6JAjRoma9dK\n",
       "/PGHqIP26WOjVCmTrVttJCQ4yJaNoFZmQAnC7/djWVaQFD+gn3m/79k0YcgQJ7IsAC/FipmcPi3T\n",
       "v7+GZcGkSRHkz2+xd69CnjwmU6d6sNtDhAKjRqWGXsbHS1y/LvHEE2lHmJcuSfh8pNJ2BHjzzUR+\n",
       "/dVBnz5ODhy4d58miHaS2rUN8uaFtm11vv02guHD/UHgXKDX1+/3Y5oms2dH0batl9mznbhcblRV\n",
       "PId//UuokzRurJM7t0Xx4oL2L08eUZ+sXDkiSOwfFWVx4oTCSy95mTrVRpcuGjlzWhQpYrJtm5D5\n",
       "WrlSISbGokMHnTVrVDp10lFVqF3bz5o1NooXNzl61EbLlum3wgTs+HGZtWsVcue20lV+AbEZq17d\n",
       "YNs2lSJFQlGrZVlUraoRF6ekUoYJSMmlBP9ZloVpmpimiWEYwc1ZYI4F/j8jGbp/kj2Is78fUNC4\n",
       "ceMe5HL+FnvkIswHTcneD0H7gzjg27fhyhWJNm0sPvnEYO9ePzduSMTGxrB3ryAq37PHolixpHsS\n",
       "w+/YkZLhB957T2fkSBVdT/u6Vq0SDhMEWnbZMtFvGdgUhGqj0axerdKrl5c5cwQKdvZs0QIycKBY\n",
       "bGNioGpVk9mzBUVeSmve3GTBAoWDByWaNg2JYz/9tMn16xJeL8yY4WPMGIVOnQz27LHh8YTu7513\n",
       "dHbulII10hdeEKjYatV0XnhBxW4X5A2HD8ts2CBTvHjoXv1+6NbN4No1P04n1K7tIzpaOPQdO+xc\n",
       "uKDw5puiL3PQIEfwPQbUYgJN2wElCEjNHnOv6GDIEDt+PxQoIOj5cuSw8HrhmWc0VqxQyZLFZNcu\n",
       "hZs3JZYtSw62Dp0+LeFwiAj9btu9W6ZixbTFpIE72pnhG5eASRJ89ZWXo0dFFHivkpNlCcKC2Fjx\n",
       "rl97zc+UKXbi49OmWnO7I1iyxEX37ho1amhMm+YGLKpU8bNli+ixbNlSw7Is8ue3UFWYPdtGlSoG\n",
       "q1Yl4fdL5Mhh0a+fxvXrEmXLGsyfb6NzZ+GcmjQRVHYAX39t56WX/DRsqLN2rWgvAYiN9bJqlY21\n",
       "a8VxFy5k7HDi4yU6dHDxwQc+4uMlfvst4+PTI1yvXFmIUt+PZcSwE9is3U899J8UYf7/4twf1B45\n",
       "h5nS7tfB3S9B+4M4zIMHJUqVsoILX65cMHGizrBhyXTs6GbKFI19+ySqVLFlSAwvohGZKlVCH1Od\n",
       "OoIKbvZsd6rrSkoSDjY2VhyfLZuISn/8URAoB4SrXS4Xv/winGOzZn4yZbLYtk3i228VatY0yZkz\n",
       "NGblyha3b0tUqBB+rjJlLG7dEi0eLlfoY2rQwGDzZplXXrnJhx9GMnOmi7ffNqlQwWL9+tB9tmgh\n",
       "COffflssfkJSSWPrVoUTJyS+/16jb1+DYsUE4jc6WizCFSuKexs/XuHsWZ3YWB9RUWJT0rSpAAjV\n",
       "rWunTh0Du91i0SLRnJ+WpUVinZEWZmBhi4+H8ePt2O1w7pzM0KFe1q8XkVBEBIwbZyd7dgO/X6RL\n",
       "Uz7PjNKxAUBPepaR2DSIDUaLFjo3b0r3JA4/c0ZC16FoUfE88+e3aN5c43/+J+0c5549Cm63YCmq\n",
       "X1+k++12ePFFjU2bbNhsFk88kcj58x6WLFFISBDRp9ttMWqUGPOjj3wUK2ZgWQIwVL68Edw4BLhf\n",
       "Dx+WOXlSplUrnbx5LfLlM4OAoLp1faxfr1KsmEnnzgJ5nJ4ZBjz/vJOWLXW6d9epU0cPpnfTs+rV\n",
       "dbZtC6/7W5ZFlSoa27c/OONPWgw7d2/W7q6H/l3tcX/WAtHxf7L9Z9/dPexeDi4tkvR7EbT/eYcp\n",
       "hxEWBMZo2tTD7NnxjBgRwblzCqVLZ/wRXrzIHXqz8N/ffVfniy8i8PnCz7Fpk0yFCqHowjRNunZN\n",
       "ZNIkBafTRWRkZLAlZuVK0acpyxLt22tMmaJw6pTEyJHhaS6PR1xDcnLa1xgTE7oGTdOQ5VuUK6cR\n",
       "GRmBzydTpoxF3rwiIl28ODQ1JQk6dDCYPl3m889lLlyAQoV04uMlXnrJ4OuvVXr0MDl8WGbECJ31\n",
       "62VcLkiJDWjWzEmLFharVrlxOBTGjNFxOi2uXZN4+mkHXbpomCZ8/rn9vjY+99LCDCxsTZqINo5s\n",
       "2Uzy5TMpWlQQjr/zjp9t2xROn5bv0LgJXceUlh6/KwQAPw/uMAGOHpXp29fPCy84g3y8aVmADi9l\n",
       "4PD6634mTkxbwHzhQhutWwvx65UrxSZH1yVy5BARc5s2BmPHxlC+fHY8HomcOQ2ioiwyZfKzbJkN\n",
       "rxfmzpU5ckQiMtLim29sdO0aejYlSojNzscf23nxRS1Ym2zUSA/S2zmdgpf26ac1unfXmD7dlopn\n",
       "N2CffGJH04Q6DIg2lUBkmp4VKSII/++OXAsXFtqf94po/4ylpzgSqIcGSFIeluLI/VpaxOsR92rS\n",
       "/f/cHjmHeT8p1IxI0u937Pu1/fulIBIvJfoVoEwZhc8+E7D8CRMydpiifpk6BVelikXRojrTpoUv\n",
       "AKtXi3RsSkaiatVMVFVm585wRqJArRO4g2yUyZwZKlQIP9eaNTKlSlmsXh0+rZMnAF0AACAASURB\n",
       "VAJAoP375bDGebfbTYsWMkuWqNy+DefOBRY5gxUrwonEu3YVrCr/8z8KlSrZmTtXiA/bbATJ4YsV\n",
       "EwTwDRqYJCWJ66lVS0hkXbsms3atjbg4mdu3BXiobFkNh0NQqh0/LuNwwOTJtnQd/r3sbqDHvHnR\n",
       "HD8uUsa//irz/fc3+OgjG6VL60RGehkyxEZCgugrrVbNSNXysGNH2hGmrgtR6PRqj16vcIYpCQ3u\n",
       "NtOE7dtVevfWaNdO56WXnOmipDdtUqhdO3xzVKiQRcOGBt9+Gx5lCnJ+QThgWYLZx+m0yJXLZOtW\n",
       "oYG5bJnCV185qFpVp2VLnRo1LNxuaNRIkFnMn59AVJTJmDFOcuXSOXpUoUGDpBTpSIs6dUTN8rnn\n",
       "Qo60ceNQH+WECW6KFTM4flyhVCmT7NmtNLleN2xQmDLFxnffeYMo69hYgw0blHQdLIhNXFppWUkS\n",
       "4tZ/Jcq8l92dBpckCZfLla7iSIAs/WH3hz5qWpjwCDpMCCcvuHsCBUjSfT5fmiTp9xr3z07IAwck\n",
       "ype3UqFfA5HKxYsy7dqZfPmlkqHw8Y4dElWqpH3uN95I5tNPbWG6hqtXy9Sr5w8yEol7ddOzp8nE\n",
       "iaGPPSFBELPXri1kx3LmFMK9d6umXLgggCY9ehjMnx9+nbNmyTz7rMnZs3D0qKD9iYqKwm6306yZ\n",
       "QLrWqWNSoADMnClTsCDkymUF0bMgWHoEKYH4bejQJLJmtRgzRqFsWZPBgwU37aRJCl9+6cfhECLT\n",
       "WbIoOJ3CQcyYofD442aQnL1lSx/Zs1v07KmzbZuK221iGBI//eS894u7h/3xB7z6qisYwTdtqpMv\n",
       "n5NDh2wMHOhjyRI7+/eLFdrrhSFDboWhTOPjhZNNC3xy9KhMzpwmWbKkfe6DB2UefzxjRp4TJ2Si\n",
       "oy1y5bJ45x0fly5JTJ2aOntiGLBpk0rduqm9x8CBfr75xkZiYui33btl3G6L4sVF3VrTIHt2k99/\n",
       "l5kxQyUpSTiV7t017HaJ1q11rl8XuqiDBjkpWtSkbl2JDz4QpBUXL4rI0OEIp6vz+w0iIixiYrTg\n",
       "N1exoiCEOHhQYvLkCN55x8fy5aIfuWtXLdX9xcdL9OnjZMIELzlzhr6dPHkscua02Lcv4+8+APwJ\n",
       "WMCB/N0O824L9H9nlPHQdf1v7w/9T1cqgUfUYQYspYMLsPQESNIDBO0POt79WHKyqA8VLJgUBNhE\n",
       "R0cH+7csy2LfPuGsli/XePddlQ0b0o5id+4Mr1+mtKee0ilc2GTqVPG6T5ywSEqyyJ//dqp77dzZ\n",
       "YPVqmd9/F/920yaZJ58UskaSJLF4sYosixRbSlu2TKZxY5NWrUxWrxYamSCiodmzZVq0uE2DBj42\n",
       "bowO24AULCgcRoMGJkOG6IwaJXb2zZubYYQH585B8eIWCQni+G3bbBQtamCaQsJqxQqZxYsljhyB\n",
       "+PhEOnbUeOwxi0WLVBRFUMTJsnAmc+eKcZs183L9usShQzLvvuvljz8EVd2YMa4geORBrUEDN6Yp\n",
       "rhXg22+9DBsmqOFkWeaFFzKRPbtFpUoGMTEWlSrJYe0GmzfrlC+vYVmp02u7dilUrpz+QpeR2HTA\n",
       "4uJCgtF2O0yc6OXdd+2cOxf+Xg8dksme3SRXrtTz+oknTGrWNPj++5AjWrTIRqtWIh37wQcObDZI\n",
       "TJQpX17nzBmZ3LlNSpUyGTjQz549gpR9716Fhg119u1TgmnRkyeFQ4+JEYQezz8fhdMp6OpU1cXG\n",
       "jQ40Dc6d04ORlN/vpX59jaFDHTRr5qFRI3F/P/8s07atxrp1Ia1Oy4L+/R106KCnqb5Sv77BmjUZ\n",
       "f/8pI0yvV2xwfvlFpmRJ839NUDqj9Sat1pb06qEB6bM/k8q9O8K8ffv2fyPM/2QL0NkFUpKyLBMT\n",
       "E/PA+ph/1mHu369TpIiOzWYGATZ3R78Bhp+iRS1++EGjRw8bp0+Hj5OcLFo87gbbpLyut97yM3q0\n",
       "QmKij8WL/cTGasTEpCaEz5xZCDZPnSo++DVrZBo2DC3OY8c6cDgE81BKoeAlSxSeftoke3Yh1bVm\n",
       "jXAAq1b5yZXLoHhxhTZtFJYtC9/lL10q+g7PnpWoXdsia1ZYsECmeXOT+fMVRoxQKF3aRmysnTNn\n",
       "xEJXrpyFpkn06SMknmJioFw5k7lzFf74Q6Jjx6wULy7j8UhIkuBczZVLyEYZhjinzycin3LlzDu6\n",
       "nBqVKhkkJwu2nRUrHrz5esQIOydPChSrpsGHH3q5elVi4UKVzJktXnjBhdMJ06d72L9foVEjb7BG\n",
       "FYgM9u1zUbWqHqZFGIgMhJh0+k34GYGFArZ9u0K1aqFjSpQweeUVjQEDwlOz95LzeuMNP2PH2vF4\n",
       "QooerVvreDzC6ZUta1C9uo/9+8V8stnE5mHFCpXYWJ3Tp2Xy5hUk9JIETZsawesrXNgkOtripZf8\n",
       "7N6tMHSomKtLltgpWtSkaVODdesyhREsVK7sY9s2lVdfTcTr9dCokY8lS2RiYkzq1NGZP1/Mvx9+\n",
       "sHHpkszQoWmzpdevr7NuXcYO0263uHpVonp1NwUKRNKkSWa6do2kWzcXZ87I6QLI/g673/UqvXqo\n",
       "oijBUtR/xaPTt0fSYQZecqD3KUCS7na7/xIk+n4dZoD0YPdug/LlCQPYpBzr1i349VeJJ54QY9ap\n",
       "YzFkiE779uF1tr17heyXM51MoiRJPPmknzx5dKZPh61b3TRtmr4WaCC1aRii9aRhQ5Nr1+Cbbxyc\n",
       "PClTooToUwvIaN26Bbt3h/Q027Y1mD0bbt26xZw5Nrp0sXA6nTRsaLFnj8TNm3LwOY0fr9C7t6DP\n",
       "kyR4802DkSMVxo4VtHmnTklMmaIzf76G1yv0E8eO1Th3TiEpSeLZZw1On4Zly65Rv75OzZomly8L\n",
       "tiBNE4t49uwmV66IBblQIQvThHbt1OC1Zs1qsXSpjWXLPHeUMyTGj3+wtOyBAzKffWYnTx6TffsU\n",
       "cuQQPYKdOrnw+wXHrqLAuHFe3nrLScGCFnXqhC/akiSxc6dK9eqEaREGMg87dqiULZuUZmRgWffv\n",
       "MAMRZsD69/eTkCAFlUZA9F9m5DBLlxYEEj/8YGPfPhm7XTjfkSPFGElJErt32ylcWMyN117TcLuF\n",
       "zmXr1jrbtyuUKyfqm5kyWUFZsO3bFRISJLp21XjmGVHHX7VKYeJEG998Y6dvX43mzXWWLlXDAFiH\n",
       "DglhbrdbKLg0aeJn+XIVj8dD27aJ/PSTzMmTOsOH25kwwZOu+k/VqgbHj4dk7VLasWMyHTq4qF/f\n",
       "Ta5cFo0b65w/n8iBA9fZsyeBixcTqV7dYMeOf36b+70YntITj06rHvrflOx/qAXqhT6fD1mW75sk\n",
       "/V52L4d5d3/jL7+4qVgx/fEOHlQoXdoKo3zr2dOkdGmLgQNDPwYAP+mdM1C/ePNNP19+Gcm2bUqw\n",
       "nSQte/JJi6goi2nTZBITYdAglVKl7Hz1lRNV5Y7+pMQbb6h06aLyzTcK1asL+jLTNKlX7zarVyv4\n",
       "/RGsXOmgXTvxTNxuqFvXZPVqsUodOSJx6pTEa68JDcXDhyX27pU4eVIIGr/4osETT1iULWvRr5/K\n",
       "hx/qtGljsmaNwg8/JPD22w7y5Eni1i2JU6di+Ppr8w6VnInLJZCMqgqXLgnKPkUR6MW8eUUEPGeO\n",
       "kxYtRA1twQIVpxP69fNjWXDsmMLBg3/u80hMhCZN3CiKqJlaFnTooFGmTCSXLsnB5/bEEybJyRKm\n",
       "CRcuyFSrFk4I7vXC4cPhbSOB9NqNGw5u3ZIpW9aRZmRw/LgPSbLImdOfLsjj8mWZ5ORQm0jAVBW+\n",
       "/trL8OF2Ll8W/bG7dyvUqJFxflrMKzvz56u0aqUhSTBliiCZP3NGpmFDHz//rFCggMHy5Srx8aL1\n",
       "pGFD4TCvX5dQFOjSReenn4Sj3bZN4fhxmY4ddYoXF5Hm0KE+Ro50cOGCRJMmOvXqiTRuIJK7eFFi\n",
       "wQIbtWvrrFvnRFVVataUOXtW5Y8/ImjSRObcOZWePSN56aUk8udPSDeScjhEjTIgTg2iFeuNNxw0\n",
       "a+aiTh2dY8eS6NPHz++/S6k2qwH6vL/b/o4ezLsR4GmJR3vu1Fx8Ph/nz59nxYoVXLt27U+nZFeu\n",
       "XEmxYsUoWrQoo0aNSvX3jRs3Eh0dTfny5SlfvjwjR458KPf4oPZIOszk5OSgqPLDbLTNyGEG0K8p\n",
       "+xv375cpXz79NOqBA2qwlzD0O4wbp7N1qxQkTBeEBanHSYm4FRGeDbsdHntMpD7Tvw/hrMaOVZBl\n",
       "Udfcu9ePxyNhGBKzZmns2qURFQXFi5uMGiUWvUuXBLI4Vy7RsjJmjJOyZS1y5w6N3bKlyfLlDizL\n",
       "4ptvFF54wcBuh+rVTZo3t3HggMTHH+v89ptEx46Cbm/8eIXoaIGUbdvWYM4cmccf9zFhwk2GDRM7\n",
       "2rZt7WzeLDNypM6lS4K7tk8f0dgvy5ApE2TNKoBAV65IyDK8/HI0Z89KlCljsnu3yo0bMGSIH1kW\n",
       "4KJvvrn/tKxpQr16bjwe4Yhu3BDR1qFDClFRJs2a6ZimeLbDhnl5/307vXr5yZ3b5LHHwt/x3r0C\n",
       "nJSWlGmA7k5R0o4M9u1zUbmyjmHo6dLW7dxpT1cwukQJk169NAYNcrBzp3LHWWV87xUqmBQvbjJ9\n",
       "umDUOXFCSLrlyGESEWFht4v+2C+/9LFnj8z339upV0/H7RaOcds2hQIFTAYM8LNggY1z5yR+/12i\n",
       "bl2dbNmsO+9XZ+tWlZIlDTweiRs3JNxuqFMnRGIwerSd557z07atzooVDn77TaJtWxcRESKD4HAI\n",
       "MNTVqwqvv849I6nYWD9r1yp3SiMyNWtGkJAgsWdPEi+9pOF0ClL4rVsDGp8h51W16v+Ow/zfsrvr\n",
       "oe47avOqqnLlyhXGjRvHu+++yzvvvBOU9tq6dWuGoCLDMOjfvz8rV67k6NGjzJgxg2PHjqU6rnbt\n",
       "2uzfv5/9+/czdOjQv+0e78ceSYeZKVMm3G43siz/qZrj/djd46XknI2IiAhGsz4f/PKLROnSGTvM\n",
       "tOqSmTLB1Kk6gwapXLggAD8pI8y7zxnYGUpSADgjopuMrFMnIS49dKhO166iPli+vM4TTxhkyyZ2\n",
       "4O3amSiK6K0rUcJLjRoRHDoUg9vtpm1bwfrTvn14Oq9ZM0FDd/EizJsn88ILAlW7cqWM02kxd65O\n",
       "nz4mp0+LZvcrVyQ++khh3DgdsKhUycOVKxZnzqjExsps2CAc9/XrEj/+KDN4sKgTnj0rsW+fRKdO\n",
       "ghUoIUGIYQ8frmMYwsFFRlo0aODkqadMsmSxWLlSxe2Gp5/2Y5owd64aJCnPyEwTunZ1cPy4TNas\n",
       "IqryeuGLL7zUqCEa7pcsUSlc2KRtW50JExx066Zx5Yqcql0DBCAnUF+8fFliyhQb/fs7aNzYRf/+\n",
       "Dvbvl2nc2MUrrzj46Sc12EMpSRK7d9uoWtUKq0/ZbLYgoMjj8bBzp40nn/SlW596/XU/J07ITJxo\n",
       "o06d+0M/tW2rceuWRLFiJq++6kBRYP9+lb59/Uyf7sJuhzp1TLp1EwoirVvrnD4t4fNJ5Mtn0qWL\n",
       "Rp48FhUrGnzzjdjYpey9bN9eY948lcOHFZ55RqNfP1FrbdVKZ8ECG2fOCEDayy/7adRIY8MGBzVr\n",
       "uqlWzeDzz70sXqxy9qzE4cMi9S/L946katXysHatwpQpJm3buvj3v5MYPz6RzJlDz6t4cZMbN0Tp\n",
       "JKVVqmRw7JgchiD+O+z/WqnEZrNRpUoVli1bxssvv8z7779PkyZNOHPmDO+++26G17Zr1y6KFClC\n",
       "wYIFsdlsdOrUiUWLFqU67p9AyhCwR9JhZtRW8jDGhdTp1wD6NWBHjgiidJcr/bEOHlTTFY0uV86i\n",
       "f3+Dbt1sOJ2QN++9zwmCbi062gr2LqZngdrOhQvSHYJrmezZLWJjQ+nDzp11Jk2SyJ9f56uvdCZM\n",
       "MOjWzcH06TINGphcuiQF+zcDFhMjULvvv2+nYUMBLnrzTZVlyzRu35a4fFmkfPv3FxFuliwWZcqY\n",
       "FCyokZCQgGH4ad3aZOlSscOtVMni6FFxTXv2iNTr8eOCR/WHH0QdMyJCOLVjxyROnAjVWj0eEWmO\n",
       "HSsc4+LFAaSwj4gI0Zg+eXLGRBV+P7z4opPly23IMiQkyIDQdSxVymT8eDunTsnIMvzxh8S//mVy\n",
       "9aoAYQX4We+2uDgFVbVo2tRF1aoRbNkiWmeGDPGTJ4/Fe+/5GDLET7FiJqtXq5QrF0Hnzk727JHZ\n",
       "uTOc7CAlyMPtFhJeO3bYqV7dSBNQpOsChDZ2rI8VK9R7om0Ddvq0TO7cFtOm2YiLE/VItxuWLrWR\n",
       "NatFhQpCZqxdO53LlyWqVtVZu1ZsHK9ckWnbVjjm7t015s2zYRgWDRqEzl2okBAfqFJF54MPRBvM\n",
       "tGkqjRsLKrrhwx306qWRJQvMn29D1yWef17jrbf81K9vcOSIQu/eTgYN8uNyWezalfb8TxlJFS9u\n",
       "x+eT+fjjKBYvTqBVK18q2TPD0KheXWfLlvDxXC4oU8ZIJUX2sO3/ypmkJx5dsmRJunfvzrhx41i3\n",
       "bl2GDjMtcejLly+HHSNJEnFxcZQtW5amTZty9OjRh3sjf9IeSYcZsL/DYaYkH0iZfk1L3zK9dCyI\n",
       "Pr74eDldxQQQPK7XrkG2bBaapqWitLt7Y3D1qmjBGDbMYNSojOW8duyQKFrUYsYMhfXrJVwuoYVY\n",
       "r54WvMcnnrhBYqJExYoSDoeDRo0sVq0S7S8ffaSSNStpLkzNmvlYvFhw0s6cKbNpk58nn7Ro2jTE\n",
       "8PPccwarVslcvSqRkGAF2ZYyZcpEp04W8+bZg9efNStUq2bxr39ZzJvn5513dOrXF5HlTz/JYf2n\n",
       "P/2ksG6dOIdhiLqdJIHPBytWiPpa7dpa8PfPP7elG41fvChRubKbefPEvRQoINovcuQQNHfPPefC\n",
       "brdo0EBD0wSi9LPP7Eyc6MWyRH2wevVQBGdZsGSJyoYNChs3qvTqpXHyZCKTJ3vp2VOgeM+cEc6l\n",
       "Zk2Dvn01fvjBy88/J1K3rkGXLi6OH5fDIqC7LT5e4soVhfLl5VSAIgi1GuTPL/plV66U7tlqEEDH\n",
       "DhrkY/hwB6Yp2onKlzeIjLS4elWhSxfxEvbtU8iTx2LuXBs//WSnQAGTMmUM8uSx7swNUVOuUSNc\n",
       "rs3jEbzLkiTaYESbjoOEBIlKlQzWrBF6mG++6WDiRDuvvprIqVPiPTscQoXk118F4X3HjjqzZmW8\n",
       "ETIMePVVBzabRdeuGqVLy6lAMbIsYxgGlSt7Wb9eOBFN04L9jTVqGGzb9venZf8p3K1/lrjgfq67\n",
       "QoUKXLx4kYMHDzJgwABatWr1Vy7xL9sj6TDvflEPy2kGADYpJb/SAxMdOCBTvnz6edEDBxRKldLT\n",
       "JdcGsdhXqGBy4gQcP+7B5XKli7i1LMHPWru2Sdu2QkQ5vZ5OEIofzZub5Mtn8eGHKu3aGVy+LFO2\n",
       "rJ/ExEQ8Hs+dc0FCQmic4sVFK8ns2aJeFOh5TGkxMRZJSRJnzkisXasR0IMVEmHi2qOiICLColw5\n",
       "P+fPyyQkxATZlqpUsUhOhiNHQmO/9ZbO0aMSpUvD4MEmr79uEBMTokgDghRqdruIYoEgkhZEFFqk\n",
       "SCTDh7to2dJHVJSFxyMxY0b480xKguefd1C6dATnzsl3OGl1oqOhalXRgzhnjo3r10XEtHWrjVKl\n",
       "DL74ws748V4ef1xwnj7+uNAEBdFW06qViyFD7OTJY7F5czKtWulhKM59+xSKFUtNSBAVBT17anz+\n",
       "uZe8eS3q1XMzZYotzQ3Rjh0qlSppYc4oEFWlbDXYvTuSatV0Fi92sGuXkSFK8vhx0cLTvbtOUpIY\n",
       "0+0WPZxduvjRNOjUSaRXFyxQefFFP19/befwYZls2Uzatw9tGjwe8R7udvpz5tioVMlk+3aVxEQo\n",
       "WdLkxRc1Bg50kJgI2bPDyy87OXpUZtWqRLp187B6tZBUu3xZZBayZxcI5fbtNRYsEELRaZlhQK9e\n",
       "Tk6dkvn0U2+qWuTdfK/16yts3x5C/QQ2HRUqJLFli/Qfo3+Z0tKKMBMSEoi+V8E7hd0tDn3x4kXy\n",
       "5s0bdkygfAbQpEkTNE3jj7Sgy/9L9kg6zIAFAD9/dSIHUqHJd3o9oqOj7ymium9f+n2T4u/COWV0\n",
       "Tq/Xy9GjFp06+Xn77SzYbPYMd21r1woybKHMYTBqVPqw93XrxLGdOhns2iURFSUkk0C/o2ASxdmz\n",
       "dmw2iY0bw6O4bNlEjejUKVGbvH07fOyPP3bjcMCAAQaZM4d+r1/f5OBBiatXTebO9eF2Gxw6ZKdx\n",
       "Y4uFC0PXKsuiZjZ3bugZ16snUoAffaTw2msqffrY+OwzHacTjh/3kz27FXQ+ui7UWWSZ4P8CDsQw\n",
       "YOJEF9OmOUlOFo71zTedHDwoMXu2SpMmLvLkiWT5clsQDdumjYamSZQqZSDLEgULmqxYodK1q0Zy\n",
       "ssSlS9KdlKCfJk1EmnHDBoW6dQV93Pffu6lb1029ejo9e2o0bKinCcjJSLsSBFioY0eNFSs8TJhg\n",
       "o08fZyqav23bFKpUSX9egfguNm2y0aiRwYgRPgYPjsHpDKloBFCSAUDR/PkSzZr5OX5cUNvJMkFx\n",
       "7lWrbOTLZwQRwvv2KfTpE2Ln+flnlZYtQ55rwgQ7bjesWaPiu9NtY1kwfryN117zU7WqwaJF4mW9\n",
       "8YafQ4cEmvb8eYGsnjfPQ3S0RfbsFuXKCfKB115z0ru3xqlTImPxr39ZFC1qsnZt6t2oYUDfvk6u\n",
       "X5eYO1eQHxw8qKTJmRuw4sVNEhPh0iUljCSgZk2FQ4dseDxWqlTuw+J7/ScplfzZPsxKlSpx8uRJ\n",
       "zp07h9/vZ9asWbRo0SLsmKtXrwaf0a5du7AsiyzpUVz9L9gj6TD/qiRXSkuZfr1f1K3PJ+psZcqk\n",
       "f949e2TKldPSvLYAfV98vMb58yqffipx9arE9Onp12VMU0SY9eqJqLZTJ5OzZyV27Eh9rdevC3Hp\n",
       "ypVFJKgosGyZSe3aPhRFCaZ7ly2TadHCpHjx8JrokiUydeuazJunYRgwfnzobx9+qHD6tMLAgd4g\n",
       "RV3AHA6L2FidWbP8vP9+BJ9+alGnjklkpMW8eeHHtmvnZ948ezBdKkmCLWj8eIXz52H3bj9duph0\n",
       "6CCo/nr0MOnTx+CppwRic/JkhRw5BFJUVYVGY8rXJggPhANISJCoX99Nnz5OjhyRcTpFZJo1q0Wt\n",
       "WiG+0hEjfMydq7J1q0K3bn6uX5eZMMGGrkO3bloYufrGjSoVKhh07uxi1iwXa9Yk8/LLGjt2hBMK\n",
       "pLS0eifT+nuxYiZr1yaj66LN5dq10I3FxalUrZo+6UHA1q8XdHidO+u43RaTJ9uDUVUAJRkAFC1Z\n",
       "YqdJk+SgmkxUlInfD2+95WHzZoX69b1IksSiRSr16wu9yps3hYh0zZp6GMXfrFkqlSsblC5tBjdJ\n",
       "GzYoSBLUrWvQtavGtGm2O/NFlCOSkyXy5LGoU8cIi8hbtdIZO9bGhQsSgwf7adJEZ948MWaHDqnT\n",
       "spYl0rCXL0vMmCEEvN1uqFzZYNOm9DeXkiTQstu2hTaskiQRHS1TrJjJ4cPuNFO5d6NyH4Sq7p8U\n",
       "tSYlJf2plKyqqowbN45GjRpRokQJOnbsSPHixcMEpOfOnUvp0qUpV64cr776KjNnzvy7Lv++7JF0\n",
       "mCntQR1mSiRqyvTr/Yz1888ShQqJiCg927dP0ImlHC+leorT6eTYsSjKlRPjfP21zttvq2k2WkuS\n",
       "xLFjYqEvXFj8ZrPBwIE6n3ySFiG1TI0aJopiMnUqNG7sZetWO02bhh+7fLlMs2Ym3bsb/PhjaCrN\n",
       "myfTtq3JU09ZPP+8wSefiOtaulTmiy8UWrb006OHxsqVIQq9wPNs0iSZ77/PRI4cEo0bC2DTunUy\n",
       "J09KnD8fOnfJkiZRURZxcWKB+u03OHRIyFANHmwEWyEGDtT57juFatUEh2y/fhqPPy7o6K5cUdB1\n",
       "ERFduiRQugE2IKfTClt8fT4xtscjUaCATteuSSQmwv79Mi1a+HjhBR8tWrjweqFQIZMffxR9ibJs\n",
       "UaWKwZdfhsgJbt0S6eR//9tJoUImixfHU7SoIB1IiZBNaYYhWkrSc5g+H2Fi0BERMGmSl/r1dRo2\n",
       "dHPunCDCOH1aoVy5jB3m2bMSycmixUSS4IsvfHz8sT1MIzLQ8H7unI3r12UqVrSxfr3jTnQpnOHx\n",
       "435u35bo2FG0tcybp9Cmjcbs2SpZsoj7TSm0fOmSxLlzMp06afTu7WfCBJFBGD/eTr9+fiRJEKz/\n",
       "8ovM6dMS69Yp/PyzTP78JpUqGcyZE+4Aa9QQoJtPPvFit4ue2NmzxTGtW2usXauGZT/ee8/OkSMK\n",
       "s2Z5wr7NBg10Vq/OuBZZq5bOtm2ps0o1a+ps2aIEn9nd0l1pKdyklO66n1TuPyXCNE3zT/ezN2nS\n",
       "hF9++YVTp07x1ltvAdC7d2969+4NQL9+/Thy5AgHDhwgLi6OKlWqPJwbeED7r8P8kw4zLSRqIP16\n",
       "v2Pt3ZtxOva330QtJ39+I3jOu9VTHA5HGH9spUoWrVubvPNO2jvhjRttwegyYN27m+zbJ3PoUPjE\n",
       "X7dOonZtjY0bk/H5JDp2FH2NKSOBP/4QDqpOHZM2bUzi4mSuXIGbN2HrVuFIAT74wMAwoHVrG336\n",
       "qERGQr9+3jspM4tVq6Tg87TZbDRr5uD4cYmBA0Vaslo1i0yZBLH2ggWhj1GSJNq18zF9usLVq9Cw\n",
       "oY3OnU3y5IH33w8dV6CA6P2MixMI3H/9K4ErVxRKlIB+/ZKJjBRizpYlnKFpgt1ukpQkBVOCOXKI\n",
       "e1m4MJnRo71kyyYxZUoEfr9ofZk82Un16pEcPqxQooROrlwGqmqRObNFwYIWb78dngIdPtyBrsOo\n",
       "UT4++MAXrK0ePy6TKRNBAExK+/lnmcceE6nGtOzAAZkiRcwwMWhJEjJiywfCDAAAIABJREFUffr4\n",
       "adbMzcKFKhUq6NyjWsCGDSK6DKyHxYqZPPusxltvpabFWbzYRvPmOpMmiZppgNGncWOd997LjKpC\n",
       "yZKir/bwYYXKlW/xxRc2bDYTSbKIiwu1dk2dKtLctWoZNGpkcO2axPz5KgcPysE6p90OHTvqfP+9\n",
       "je7dXVSpYrBsmYcNG1ROnRJ18cBiPnq0nXz5LH77TSxztWsbXLokyDKyZhXkAkuWiO9l3Dgby5er\n",
       "zJ2bnKr/tWFDndWr1QxBcrVq6Wzd6kh1THpC0wFLi+81pXTXvVK5/5QI859yHX+3PZIO80FTsveD\n",
       "foV7T564OJl9+yS++04mISH13/fulalY0UKWpTDx6rvVU3bskMMIC4YP11m+XA5T+Qjc48aN9lQO\n",
       "0+WCl182GD069EHrusHatRLVqiUxb14Uzz5rceyYQv78FnPmqMF7W71aplYtE6dTRDMtW5pMn66w\n",
       "ZIlQHgks3BER0KSJeYe+zyRHDovy5QVgpHVrjVmzTDRNCz7POXMUsme3gn1tkgT9+hnEx0up0rLt\n",
       "2/uYP1+mVSsbbdqYDBli0LOnzsaNcgqSbYtXXklm4kSFGjU0DhyIoW5dQSQwa5aLjh2T6dDBQ7du\n",
       "3qCD8PuF4kbArl4V523Vys2//y3oAWNjda5dS+TNN/0kJkrYbBZZs1r89ptCXJyNdu28zJlznWvX\n",
       "JCpWTELTNLxe0aM4Z47KSy/5ad48vMdxyxaFWrXS7nsUkWf6PZFxcWq6qdzevTVefdXP2287KVny\n",
       "3m0i69eL+mpKe/NNQZZ+t7DyokUqLVrofP65IJb/7TeJZs103n3Xx86dCmXKiFrxypVumjQx2LMn\n",
       "GpcLLl5UePppH+fOyUyZYrBuncbEiSpRURa5chnIskWvXn5GjLDz/PNaGJNOhw4aX39tR5Is5s/3\n",
       "kDev4JuNibGCEeSaNXZ27VL49799zJwpflNVaNNGD0aiHTuKiHPuXJWvv7azYIEnTUKPIkWsIIgp\n",
       "PStUSGADTp4MP6ZqVYN9+5QgCf+9LCOqurRSuQHn+TBVR+7H0oowHyYJzD/VHkmHmdLux2Gml35N\n",
       "a6z7sSNHJFq3FqoexYvbGT5cCXOcu3dLVKwonEpSUlJQvDqleopI0UlhhAXR0fDRRzqvvqqGafn5\n",
       "/RK7dqnUqZP6o+rZ02DDBplffhEMSAcOJGGaEiVKRLBggUqXLgZr1sj06GEwYUIIeblsmUzTpqHx\n",
       "AmnZOXOEHFnALEs0dcfEwPbtMg0bGoDYOderd4v16x0oinieHg988onKgAEG8+aFnm/79iYXL0p3\n",
       "IojQtefMKajvIiPh3XfFDT/3nDj3d98pQQrEXLk8tGhhYJoqK1fKtGypsXmzzKef+lm1ys3q1U52\n",
       "77bx+OM6OXKIcZKTU26qwOUKzZHr1yXWr1eJiYnkzTcd+P0C5BIfL1GlisHx40l89ZXB7t2ZaNhQ\n",
       "x+GQuXLF5OmnXVy8aJI5s0mrVh50PWVLicXWrQo1ajxY/XLbNoXq1dP/e8+eGjExFosX2zIkYzAM\n",
       "2Lw5tZyX2w2ffebl9dedwTT6hQsSFy5IGIYgwwhE6W+95cfvF7XvwGcyf76N1q01vvzSTv36QmVm\n",
       "/347v/8u8/bbMQwaFM2NGzJlyoQkvGrXTuTsWZmnn/YFv1ERmYuWoueeC4lHDxggNi5TpghR6zff\n",
       "zMTYsV7atNHZvVvh99/FPXfsqDFjhmgVatJE/G3gQAdz5gjHm541ahTS2kzbLGrWFL214jkINLXL\n",
       "JUBBu3Y9eHtJRqlcEOvTg6Ry/4ql5TAfhSjzvw4zA4eZUfr1QcYD8SGdOiXxxhsGM2fqbNrk58IF\n",
       "iXLl7CxZIl7H7t1QvLigCHG73WmKVx87JvHYYxaPPRY+fseOIrqbNCn0ardvl3n88XBEasAyZYLe\n",
       "vf18+KGJYRjs2hVNvXoWS5cqVKwo0qFHjkj072/i8Yi2BE0TiNvGjUOOsVo1QTu3dWu4I/3qK7GA\n",
       "WJaoFS5aJHP7tkhRFi6ciYoVLVauFIvJpEkKFSuavPSSye7dEteuiTGcTujRQ/TqzZoVqgd98IGL\n",
       "bNlErTHweAJqKV9+KXPz5u0gonfoUIOtW2U2bRLsOtu2KVy6JCjWbt+WeP55L3v2+Fm6VCMiAipW\n",
       "DAk6BxwBgNcrapmBfkBJIggc2rXrJlOnJpA5syBDX7pUpXlzg8OHnTRpkoU6dSw+/dRPUpJMiRJ6\n",
       "MN0mxvWxdatCtWqpgV6WRYbO1DAE4Xp6ESaIHsYbNyTatdPo0iVzmpkNELXz3LnTlvNq2NCgXDmD\n",
       "0aPFN7B4sUqzZjpDhzqDaOM8eQJamCoREUK7My7OxvHjImo/flxm/Hix8friCx+XLiWSLZtFjhwW\n",
       "Tz1l0KCBFQQULVgQQbFiBjNmKCQlJZGUlMyAASrnzgl2oCNHQk7I7YaRI3388YdEr14R1Kvnp04d\n",
       "g4gIoUU6d65wdhUqmLjdFtu2KVy4IEoNrVrpYbXUtKxRI52VK9N2mJom0ti//y7x/vsO8uePJF++\n",
       "SAoXjiRnzkhOnpRZs+bh9mMGUrmyLGO32/90Kvdhm9/vT0WS8p9oj6TDvJ+U7P2mX9MaO6NJeeiQ\n",
       "UB8JpJgKF4bJk3W++07jzTcV+vY12bNHplo1G4qipHvO7dvTFoyWJBgzRmfkSDXocDZsUKldO7WM\n",
       "UUADtFu3W6xe7SQ+PhMbNijUqycYeLp2FdFn1aoWERHQt6/O5MkRxMUJaH5KjlhJgrJlLbJls4I1\n",
       "oP37JT75RGHqVI2iRU2KFDEoUkTj888FA5Esy3TsaDB7tgD/fP65wpAhQji4USPBIxuwXr0Mzp8X\n",
       "SOBAo/z8+XYWL9bYu1fUJ0EgiHv0SCQ5GXbsiMF1h0opVy6D557TcLksRowQUeGsWTLTpt0gRw6L\n",
       "hQtdyLJE8eKi9nj7tsyFC15u3fJgtwvnGEjTtm/voUuXZAYMSGLp0tu8/LKPnj01ihe3BRex+HiL\n",
       "vXsVLl82ad/exQcfJPP22142bRJyWS5XKN0GcOKEjYgIi6xZk1Mx75w4Ici9CxRIe14dOSKTI4cZ\n",
       "5F1Ne74oVKhg8O67XkqW1Hn++bQ1P9etU6lXL33HO2qUjylTbPz8s8yiRTZq1jQ4elQmKsrC4bDo\n",
       "1k0AiubMEWQOr7/u5623oomNNeje3X3HOYq6YGysgcsFvXr52blT4eZNiaeeMpAkCY9HZsoUB6NH\n",
       "+5g+3Y2uR/D559H8/LON27clPv74JgcOSBw96g8+p/btNSIiLDZuVHnvvaTgNXfqpDF9unDSkiQQ\n",
       "yxMn2mjf3kWfPv77YuOpXt3g5Ek5GKmCyDSMHGmnZMkIPvjASfHiBroOu3cncv16Ir/9lsivvyby\n",
       "0Udetm//e5RLApHen03l/lUB6UdR2gseUYcJ6dPj3W/6NaNxM3KYaQF+LMviqaeSWbHiGmfOqHg8\n",
       "Ei6XmqGD3r49fcHokiUtOnUyGDZMfKTr1yvUrBlymIEezoAGaIECUbzwgsHo0SqbN8uUKCFqji1a\n",
       "mKxZI2juQJCfb9tmZ+bM8CgyYPHxEtevS9y+LSLpHj1URo/WyJHDy/nzFn/8ITNuHMyc6WDvXjH1\n",
       "WrY02bBB5quvFJ580qRcOfFs2rUzmTMn9Nzz5YPYWJP4eImlSyVee83Jd98lkD8/tG5t8tNPMsnJ\n",
       "ySQkJNCihYWuS3z2mQ3DMNB1ncREEYVcvy6xbp3Mq68mki+fRYMGDkaN8rN/v8xnn6lIEnTqZHDx\n",
       "osTlyxKqCj166EE0regntPPNNzB0qEH58gZTp9rp1OkmiYmJ+P1+LMtiyRInUVHw/fdOli9Ponlz\n",
       "oW25dq3YvNy944+Lc1K3rpGmyO/69QaVK/vSjRQyij5Dx6jUqCGAPKNG3cbvh8GDU4N41q8Xos7p\n",
       "Wc6cFsOG+enVy8mJEzJLlwpB8du3xaLdtq3GsWMyf/whUb26Qb9+fs6dU1m+XNDgrV2bzKVLEr17\n",
       "h5C6iYmCSersWZnSpcW8mjrVRvXqBrVqmTRooNO/v4s5c+w0bapTsqRF06Z2unbVmTo1Ivicrl5N\n",
       "xjTFu09ONoPPqXZtg1u3JA4cEHOueXOdJUuEssp77/m5eVMKI8FIyxwOQU6xerUon4wYYadixQji\n",
       "4yUWLvSwZk0Cw4YlUbiwyblzoXlrtwvi+KNHU/cj/932d6FyIW2HGZmWWsB/mD2yDjNgAQf3IOnX\n",
       "jMZLz/bskcMUSFJS2uXLl4kePUQkUbeujYsX029T2bFDplq19M8zdKjBihUy69dLnD4tUbGiWKAC\n",
       "ICKfzxdk0ZAkiVdeEZFe7twWa9YotGwpJLJWrw45zEyZoF27ZBYuVIIo2IDFx8OBAxL16pnMmiUz\n",
       "dKhC6dImTZveZP16iyxZZKKi4Nw5mQ8/9PLKKxFomuCWrVXL5LPPFN5+O7ToN25scuSIxKVLoXO8\n",
       "9JL4e79+NgYN8lOuXIB/1MfkyRKaZhAdHU22bA6aNjX4+WeJHTsEArJMGTfHjkl06+bh+nWZvn1h\n",
       "yxYbiYkSzZqZyDL88IPKyJE22rTR7/SeKneuRdTchB6nxcaNIhqy2WwsXx5B6dIWFSuKxUhVVbZv\n",
       "lxgyxEHevBorVsRTqJD/TgRgZ/NmGw0aWEHif+0O3czGjTLVq/uDO/6UzDu7d7upVctKpaoRiEK3\n",
       "bJHDKPbSss2bFWrWFM/PZoMffhA9kpMmhdJoot0l49SueN4aSUmCCnDZMhWbTYxZuLBJ4cIW8+ap\n",
       "5M5tUbOmzsyZNjRNfBe9evlZuVJFUQjWSA1DOMe2bTVkWdQ8/X746is7r74qUvfVqwvdy6+/TmbC\n",
       "BDsjR4rN3wsvaMyYYUfTxHMaMSILrVrpZM9u8tZbmYKSZ15vMs8842HKFBVNM3nrLQe5clnkzy/a\n",
       "iAJ1zXtZ48Y6kybZeeqpCC5fltmyJYkvvvBRokToW4iN1VMRIrhcIsWfEVr2Qe3Pplj/Kio3Pftv\n",
       "hPmImCQJrswHSb+mN969Iswnn7SC6dCkpKQwSrs9eyR69DDp29egefMozpxJfR1Xr4q2jmLF0j9P\n",
       "dDS8957Oyy+rVK9uYrNZwQgsLRDRY4+JyNRuh2nTZLp2NfjlF3HuwHkkSaJePR+3bpGK43bhQsEM\n",
       "1KuXwZdfKsyfLzNiRDwOh4OZMzPx4osGnTubTJum0K6dRs6cJmPGiAUkSxax4AaiSxA7+hYtwqPM\n",
       "WrWE+PONG9CrlxYERT3++G2ioyX27Im6Q9Jg0q6dhixLPP20i23bFObNu8348fF89pkP04Qff3RQ\n",
       "tarJihUKTqdw2i+/rLFsmcLnn9twuWDmTAXThDFjbMTEWHcIDkTN9I03xAL7P/+j0qePjiRJJCQo\n",
       "vP12BD16RGNZEvPm6WTOLNhx/H4/mzd7yZ1bJ0sWX5BGUdM0bDYncXE2atUShOgphc11XSy0tWqZ\n",
       "qVQ1bDYBXomLU6lQISEoKH33InfjhkBvBno0QWxUZs708PHHdjZvFs9482ZBtp6eIEDAZFn8+6NH\n",
       "5aDuZ86cJu3ba1gWzJtnIylJzJ1//9tBw4Ze/H5BUTd6tJ3HHrP47jsbS5aofPedSo4cFrlzW8TE\n",
       "WMyYoTJnjlB2qVTJ5JdfZN5/30HVqgYjRjhp00bniSeEgypYUBBHTJ1qY9kylbg4lQ8+8DN4cDIr\n",
       "Vjjx+93BiKpLFyEdNnCgQny8ySef3GLiRBVdN+jUSfSGppWiDtj166LF5cABmW++8TJhgpf8+UPz\n",
       "NRBx1asnsgh3W9264dqaD9P+quj9g6ZyU5739u3b/3WY/8kWcJRerxdd1x8o/ZreuOk5zFu3RHN2\n",
       "oUKeYDo0EMkGJt+ePTJPPimAL6+95qVFiwjOnQsfZ/t2Iecl3+Ptde9ucvOmRGRkYDcvIrC0QEQg\n",
       "dvYnTkgkJkpUq2YF07EpDz12zEa+fBZTp4affO5chXbtTCpW9HP2rETfvskULBhFQoKTNWtknnnG\n",
       "pHNngwULZLxeidGjkxgzRuH4cVizRsbng19/Db+eTp0MZs0KnScuTvRJulywdi1BlGlMTDTPP28y\n",
       "ebKMpuksXCjxzjsOEhJAUSyGDr3JE0/4iYyMJCLCQePGBp9+aqN+fT3Y29m4scH27Qrr13uJjBRA\n",
       "jj17ZEaPFiCn554TDDpnz8p3nILK9u0y169L1Kxp8NVXKuXLu/D5YNgwP7VqmWTOLIU5ubi4KBo0\n",
       "EAtrYN4B7N1rkTOnQY4cYLfbsdvtqKqKoiicPCmhKBZ58/rDiL0ty0JVVU6edJEtGxQq5MLpdKYZ\n",
       "hW7aZPHkkzo2W/i8LFTIYvJkL88/7+TsWYm1axXq17+3nNfVqxKnT8s4HGIDI9LUMm3a6Bw8KGgS\n",
       "r14VzjEiQswZEEjZ06dlcua0OHhQZto0G0OHOvnlF5nvv7fRsKHGiBEORo+2M3Cgn/h4ifbtXbz/\n",
       "vo8BA0Sd85VXwntaBwzwM3asnZdfdvDtt+Ldde3qJyLCYtAgZzCiKlBAJWdOi5Ur3Uyf7qVhQwtd\n",
       "h40bTfLkSSB3boOVK81UPLkAa9cqVK3qpkQJkypVjCBKOC2rWtXg1Ck5FRI5NlZn/fq/J8L8uwSk\n",
       "M0rlBjJy58+f59NPP+XIkSM471bRvofdSzwa4OWXX6Zo0aKULVuW/fv3P4zb+0v2yDrMQPpVUZTg\n",
       "5HgYlpHD3LXLpFQpDdP0h6VDA+b3w+HDoRrn88/76dfPS7NmtiCAB9IXjL7bLMtEli3Wr1dISJCI\n",
       "jIwM9nDebbduCWdZtKhALMoyYfXLgK1Z4+DFF3XGjg21rvz+u+DGrVHjNsOHS5QoYXLqlAtZlpk2\n",
       "TeHppwXJeN68gmBh6VKVAgVMXnnFoHNnG2XLCvKDmTPDF5SaNS1+/13i+HGJxER48UUbY8cKMu9J\n",
       "kwRoKCIiAkmSaN/ez6pVCrGxLj780MGnn/rp1s1HmTIa48eH9E9BOGK32+KHH1RWrlTo0MHODz8o\n",
       "zJ2r0KWLHafTomlToZs5cqSNxo116tTR+f13KUh8Lknw/PM2cua0KF3axc6dMgsXevnqK4116xRa\n",
       "tkzteNasUahb14OmabjdbqKjo4mKiiIuzk3t2gI1m5iYGFYL3brVTu3aJnZ7CASWMgrduBGqVxcL\n",
       "WFrajjabjS1bbFSv7gtGoKZpBqPQWrV03njDzzPPuFizRqV+/Xv3aS5ZovLkk3qQdN/ng7JlDXLn\n",
       "tpg3z8bjjxv4/WJjc/OmxM2bMkuXJtOunY4sw8cfexk71seHH3pxuy02bEjixg2JuDiV27clrl2T\n",
       "qFzZoHt3J61aaXTurPPtt3ZKlzaDfZYBq1jRJCFB1EsDPLuid9fD/PlqkJ1o3jyVa9ckMme2yJxZ\n",
       "xm630bu3zg8/iN7mLl00Zs1yYhgGHo/nDqOWh2HDFPr1czJ5socRI0Tv7LJl6UeKdrtg97k7LVum\n",
       "jMmNG6IN5/9HuzuVC0KU3rIsrly5wrRp0xg1ahRly5alV69eTJo0CW8Gzaf3Ix69fPlyTp06xcmT\n",
       "J/n222/p27fv33qP92OPrMOUZZmoqKg/vSt6EAtQ2sXF6VSqZJEpU6awdGjADh0SlHmB2rmo+/ho\n",
       "186kTRtbUAkiLk6mWrX00W0BUM/+/YmoKjRpYjFmTKYMU8WbN8tUqiQIA06ckDh1SkR0sbGh89y4\n",
       "AYcOiYXmsccsFi8Wdbg5c0xiY72cOmVj4UI306bpLFokc/06fPedEIkO2LPPGkybZseyLPr2NThx\n",
       "QqJmTZOuXQ2mTZPDmFIUBTp0MJg+Xebtt0XLRaNGN2jf3s+mTQ5u3RIpo8uXDQYNEryyuXJZbN6c\n",
       "QOXKN2nf3svVqzaWLrVz8aLMsWMS/fvbGTDAztWrEidPymiaIIoItIhs2KCwa5cclIaKiBAtGz16\n",
       "OLlyReLGDdEL6PfDhQsytWsbbNzoZdo0P2XLWiQmCuBM8+bhjufyZZ1TpyQqV9bJlClTENQTIDpv\n",
       "2JCgwLhpRnD6tJ19+0Squ0gRD7duib5NSZLCotCtW+3UrKndlcbVgynZwDGxsVLQgQacbqDG163b\n",
       "LQoW1ImPlyhS5N4R5sKF6h0qQXjsMQvDgGrVRJ139myVTZtUbDZBfl63rk6FChrVqpmcOiVSuOvX\n",
       "i7k/aZKdbt00LEsiZ06LnTuTyZLFJDlZomjRSPx++H/snXd4VOX2/T+nTM0k9BJqpImiKFVAILTQ\n",
       "CV2QIggiSFGkKqKIIiJXBKWDKEgTVDqEFrp0KYI06XKp0lKmnvL742UmGZJgv9fvz7ue5z5XkpmT\n",
       "c86cefe79157rREj/KxcqXLlisTMmR4mTbKEaeNOmGAlf36DM2fCn50XX/QgyzBsmI3ERIUhQ2ws\n",
       "X+4hEJDYtUsEs5YtAyQmimtp21ZnyxYrbrfYbKSmRtC+fQ4OHlTZsOEm5csnkZqaSlxcKqtXq/h8\n",
       "4X299JlegwY669eHf79lGerUybxc+0fw3zSQVhSFmJgYxo0bx/PPP8/EiROZOXMmjz/+ONu3b39g\n",
       "te7XmEevWLGCLl26APDUU09x584drl279pde0y/hHxswg+Wrv8oTEzJK2h054uSpp+QsH3AhRGBm\n",
       "ONbbb+uULm3SpYuwNjp6VKJixczPOSjM7vf72bMnG/XqmYwapbNokYMTJ7I+78REmSJFTIoVM3nh\n",
       "BZ3Bg1Uef9wM2U8BrFsniCkREdC/v85HH8kkJSXzzTcKbdpIDBjg4r33NB5+GBo3NnjnHQVFISwb\n",
       "btrU4OhRmQsXZBYtkilb1mTmTJXy5YXQ+6FD4femY0eDzz9XWLlSYsSIu0RGRjJwoHjNl19a+egj\n",
       "qFzZQd68JsuXe9i/XyI1VVid1awpgmhsrEbjxjYaN7ZTqJDBrl1eKlQwKF9eEJtKlzZJTPTRt69G\n",
       "z54arVqJUQmHQwyf79un8NFHfnr00HjiCSPkOALivQ89lHZ9a9cqPPWUEZIRNE3RO05IMIiN1YmK\n",
       "Cu+Pu93CM/T4cZn27a2UKOGgRAkXnTu7GDAgGzt3Wpk2zUWJEnmoUycbQ4ZY2LjRR1JSCm63n507\n",
       "FWJjTSwWCxaLGGsJ9nF1XeennzQuX5YoW1ZkobIsnj+73Z6uX2WlUiUhsv6vf0mhTNTv92cgfNy4\n",
       "IXHwoMKpUzJeryD6qKqw7Zo7V+HqVSFYMG+elwMHFM6ckenVK5UffxTksyefNJg1y8K2bTILFljo\n",
       "3j3A3r0KlSvrrF6tkiePIOGkpgrW7IABNoYOtTFunI9HHjF59lmNUaNENWj7doWpUy0sXSqC46pV\n",
       "auieR0ZKdO4cYMUKla5d7cyf76VsWYOePf1MnWph/36ZJk2cFCxoMGmSlRw5oF49oQL03XcytWu7\n",
       "eOopg2XLfBQpIoKo3W7noYckChXS2bLFCOvrpS/jNmigkZiYsScaF6f96fOY/w1ktl6mpKSQK1cu\n",
       "KleuTL9+/ZgzZ84D5zJ/jXl0Zq+5lJ4F+F/APzZgBvFXBczgeEpQ0s7pjGD/fpnKlbPODPfsyfh7\n",
       "sYOEyZM17tyR6NtX4bHHMgq3BwkwQWH2yMi0mcr8+eHll1MZPNhKVpe6caPEtWvw7LM6AwaI+cv7\n",
       "z2X1apn69QWTs379VG7eNElIcHD8uIWLF1WiokSAA+jZU2f+fIXu3cN7oDabcIqYN8/G2LEq48Zp\n",
       "lC9vMH68QseOIstMf03R0W7u3oXnn/dTuLDoMZcooVGokMGoUVEkJqqsWHGLIUNu8thjdylaVCcx\n",
       "MY3QVKqUSUKCKM2tWOHltdc0ChUyad1ap0wZg3ff9bNtm8ylS6KPuWOH2DjkzWvSpo2GYYgFcPRo\n",
       "C9evi3Lh7t1iI+BwmIwcGb4oLFmi0KqVWCkDgQDJyclIksS2ba4woYfkZJg5U6VaNRuBAJw6JdO6\n",
       "tU5ioo8bNzwcOuRl2jQfxYqZnDvn5fJlD+PHa+TPr/Lmm9mpWjUvI0e6iI42iIx0hzxK789Cd+60\n",
       "UaOGhiyboRGbIOEofRa6bZuNESN8fP65i+3bxX02DCOUhQYDw7JlEvnzi/55zpwmR44oVK+uERNj\n",
       "8vLLDlwu4TlpmuByCYJUbKyf+fMtlC5tULOmzoQJPp57zkHFihpFi5rs3SsISWPGWGnRIsCGDSrV\n",
       "q2s0b66xe7fC3btSSGlp6FAfq1YJk+0XXrAzfbqXwoVNXn9dCMSnHyuMi9Pw+4VsXbBc27RpgLVr\n",
       "Vdq2dTBkiJ+lSz0sXGjh5k3B/v34Yytt2jgYO9bHW2/5Q0pFwb6exWKhRQuDtWtdYX294L1NTU0l\n",
       "Rw4PRYro7NwZHlzq1dPZvj3NtuyP4r+trJN+45eSkvKbvDB/bVZ8/zX+t6X3/rEBM6s5zD8DwVGR\n",
       "9GzUn34Si0jRolm/b+9eOUOGGYTVCl9+GWDtWiXMXDdIBb979y6maYaE2TVNYtu2NDuvF17wcOmS\n",
       "FFITSo9z50SvafduIWuXO7coRf74Y3h/VfQ0xQJqmhqDBumMHu2kTh2DDz9UmDgxzcfxoYdMPB7I\n",
       "ly/jve3aVePzzx089JBJ1aom77+vMWWKQu3aOosXK/j9aZnyu+9aKVPG4OxZkVXcvKnTt6+FW7cE\n",
       "AWjUKI1SpURZymaz0bOnj6lTVS5dSqZdO5lz50wiIkwGDfIzZkxacGvQQGfdOoWePXUKFTJp2dLO\n",
       "k0+KsmH//lbmzvUxdWoAl0uIJFSsKEqF168LEk7x4gaBgMT581JIvD4pSZR0mzQJhGj5TqcTVXWQ\n",
       "mKjQoIEQ/x461MKjjzrYvFmmdGmToUMDTJvmp21bnZgYM3QPhWemWOjtdqhSxWDoUI09e3zMm+dn\n",
       "+3YLFy8qLFyYA6czKuRXmb4XmpgolI2CZCBd10OLvGEYaJrGnTsiy2ve3Mfs2W5693Zw/rw1LAsN\n",
       "vmfpUguXL4t736yZFzApV05n/35REq1ZU6N8eZ0lSyz3eok+dB0WLhT/rlxZp2lTsaG4elWUxPfu\n",
       "VUIC+NOmWZk61cvnn/tYtkzl8mWJ0aN9tG3rYMoUC9myCV3bZ5/ckSiGAAAgAElEQVR10K1bgDp1\n",
       "xP1p1EhHUYT6EAiz7T597NSsqXPmjMK2bQpz5lioVSuCEiWElnCbNmLzFB8fYOpUKytXio3VRx/5\n",
       "QueYGVq0CLBypYqup/X1VFXFYrHgcDhQFIWGDX2sXCmHbTaiovw8/LDYlP2Z+E8Hkay8MH+Ltdev\n",
       "MY++/zWXLl2iYNBt/r+Ef2zAvB9/RtD0+/14vd5Q4ErPRhW76PBsKz2uXxejIqVKZSzJBpE7Nzzy\n",
       "iHB4+P57KaSV6na7iYiICCP17NkjUby4Se7c4r1Wq8SHH/oYPFjNwPJLTJQpXtzk6acN8uSB8+eF\n",
       "MfKuXTIzZ8ps3SqxcKFEsWI6uXNrWK1WXC4XnTrB+fMS585JdOum8/DDaec6b55C1aomn32WsQRV\n",
       "qpSJ1ytRq5ZY7IoWFTOW06erlC5t8s03IjM7ciSC5csdzJ4dICFBZt48k0qVHKgqHDrkISLC5P33\n",
       "xc4/MjISu91Oq1YKP/2k0qBBXvLlk9m6NZlixXSKFk1l926JbduEAEDx4mLu7/hxieHDA9y8Cd26\n",
       "WZFlkZmUKycCV7Nm+j3/RuGNWaSIyY0bEtHRkD27ec8mTQTzVauEQLrFkoIkCZKVmMuUKVjQZORI\n",
       "K1WqCBm5nTu9LFjg5/Rpmfr1M686bNmiZKr/C4LskisXvPOOn6VLFWJjHRw/nsZqDFY1tm2zUr26\n",
       "YMxqmhaa/wxmoTabjV277JQrpxEZaVKpkp833vDQrp2DW7fCs9A7d2wcOCBGRmQZHA4Jv19i9mwr\n",
       "qmpQqJDOpk0W8uXTWbFCEHjatAmwcaONwoWFiP9TT+ls3KgQHW0SHW3St6+Nn36SmT3bgs/HPQNt\n",
       "nagoE5fLxDQlatXSSEx08+WXFrp2tbNli0JEhNgIpX1X4O23fbz1lo3ERJUOHaKYPNnLRx958flM\n",
       "Wrd2sHChyqJFHpYt87BihYVr18SXsUOHAB99ZOX8eZkBA/y/yGYtXtykYEEzw1xl+hGN5s1h7VoH\n",
       "Tme48Xa9eh5WruRP0Xz9b/Yv78dfYR4dHx/PF198AcDu3bvJnj07+fLl+1PP+7fiHx8wg7JSfyRg\n",
       "plcHstlsKIqSgY26b5+Yv8wKe/cK0k36t2VUIRJemu+9F+CZZxQuXkwOiSzc3y9ITJQzuJPUqqVT\n",
       "saKRwQMzMVEmJQUqVDDp00elalUrqalC1HzkSJWRI2UGDlQ5ckShfftcfPaZg9u3hahAMOi89lpa\n",
       "X88whEHzyJFC1u1++7Avv1QpUkTn22/TzmPAAJ09eyQqVnQzd64VhyMbL7/s4IMP/ERGakREmLzx\n",
       "ho05c/yMG+fFbk/l+ec9bNhgJxBI25gcPSoYtdmywcSJGlFRNjp1Mlm7Noq33gowfHgkum7i83mp\n",
       "VcvDqlUacXGpuN0SBw7IgBmaIQTo1UsjKQlGjvQTE2OGiFfffivToYNY2Hftkrl922DRIoiPd4e0\n",
       "UCVJCMa/+qqVs2clChUy+f57D++/H6BwYZNLl0TGWq5cxqDo9Qpxipo1M2etut2CrNS5s86aNT56\n",
       "9QrQrJmdDz8UknSSJHHqlIKimBQt6sfpdBIVlXkWmpAgERcXCJUcu3c3qF1bo1s3F36/ESIULVki\n",
       "fEIVReizLl0qlIKqV9dxOmX69fNTtKjOmjUWbDaD7t1TAR/z5jlo0MBHtmyi1D1pkpW+ff189pmH\n",
       "ffsULBah9vPIIwYDB4qxkQ8/tFK8uMnw4T7atxeawevWuTl+XGbTJpWpUz18+KGVM2fSPqs6dcTn\n",
       "0a1bFNOnp3D7tkTnzg4cDoiIMHn++QDlywvHnHbtAkyaJGZQu3Z1ULq0QYUKOj16BFi+XAi4Pwit\n",
       "WgVCZtSQFry8XiESsXmzws2bEg0bOmnUyEWLFtl47rmcnDljZ9UqB6pq+a9ovv4ZyCxQ/9aS7K8x\n",
       "j27cuDHFihWjRIkS9OzZkylTpvyp1/F78I8NmL/X4is9MlMHslgsmR5rzx45zFnkfuzeLWWQurv/\n",
       "vL7/XiI62qRduzvUq+dj4MBc2O2Ziyxs3CiEBO4/1gcfaMyYoXD6tHiPpgk1nxMnJObOVYiJMXny\n",
       "SYPp0zUOHfJgtxsMGZJE9uyQmBige3cvu3crPPKIlc6dLSGd1fQLV2KihMtl8vTTJj176kycmBYY\n",
       "AwEYO9bCqFHJHD4sceYM9wgTqbzxRhIbNzo4dMjCG29YiIkxUFWDqlWdVKokBMErVBBSXhaLhVdf\n",
       "FWW8YBa7e7dM8+Z2JkwIcPmyFCopt24tyBbNmhmoqsSiRS5cLhdNmihs3uwgWzaJYsU0NM3k6ad9\n",
       "rFmjcOyYmHksX15o286Zo/LJJ378fpHNuFxCaF7Xxd/o3Vtmzx4LLVuqqKrK0aMSzz9vpU4dO9ev\n",
       "Syxd6mX48ECYp2hiokzt2jqZkQl37pR55BEjU8H84O+feMIgMlKcz3PP6Xz7rZe1axVatLBx7ZpO\n",
       "QoJOrVoBIiNdIXZs+rGTYBa6YYONunV9eDyeUC/03XeF+P+bb7pCJcclS+zcvi1cSdq393DtmkSz\n",
       "Zmk6sPHxBj/9pJA/v5BBbNzY5PJllQMHrEREBKhQwcd33/k5dkyiRQsPLpdBw4YB7twR7jCTJwuL\n",
       "tT17ZGbNsjB5speePQNUrarTrp2D994TFmLDhvl46SUHrVtrPP+8MO3WdXjzTRtXr0pomkSvXi4W\n",
       "LbLw3ns+Nm1yEwjAiBE23G5x//r08TN9uoXnn7czbZqXBQs8zJghKgy1a2shS7Cs0Lq1xooVFrxe\n",
       "UYpftMhG+/YuihVz8fbbNi5elKlcWSc62uTtt/289powTS9bVsgTHjtmzSAUkJWSU1aar3+nDDMp\n",
       "Kek3lWThl82jASZNmsTp06c5fPgw5cuX/1PP+fdA+oVA8ffd5vxBBGfRAO7evRuSNfu1COowyrKM\n",
       "0+kMUaiDP0+/2/L5IDraysWL/gzmtEHUq2dh6FCNuLi0Wx4kEWTLlg3DMJgwweDYMYnJkzXASr16\n",
       "Vlq1Mnj11fAs5NYtePhhK5cu+bHdkwtNSUkJqXlMmKCwcaPMypUB9u6VaNTIwpNPmqxfH0DXoXBh\n",
       "KwcPJuN0ulm2LJKJE8Wi9MMPAVJTxXHu3rXxyCNWvF6oXl2Ux5YsEX2f1q1VGjc26N7d4OZNKFPG\n",
       "yoEDfgoUgNmzZRYskFm8+GfGjMmFrhsMG3br3nyXkzp1rOi6yZEjMg0aaBw9qjB9up8KFfyULRvB\n",
       "Z58lUaWKJZTBx8db+eEHmblz/Tz7rI0ZM3w0aGAwapSFK1ckJk8WGUvHjlbq1hUZdrNmdr77zoPd\n",
       "DsWLO1i82Ee7djYeecRg40YPpUs7SE6WGDw4lS5dUujXLwf79ln49FMPffs6sVrFPfZ6JaKiDBTF\n",
       "5NIlhZYtdZ59VmPqVAtHj8r07RugRg2dTp1snDjhzVCOf/ZZK82a6XTokDGLHDbMQkQEvPFGIMPv\n",
       "AF5/3UJkpMmwYeG9tkDAZPhwmRUrLBQoAP366bRokfVs5dGjEs88Y+OHH8T5pScE3b5t0LhxNjp2\n",
       "9NCqlUbFijnw+4V0o2EI5Z4iRQwaNPBz+rTCK694ee01J6dPC6H3K1dkGjYM4PMJa7XHH9f57juF\n",
       "hx7SeOWVFAzDoEKF3Fy7pvDEExq5c8P48R6aNHExenRaH1HXoXp1J2fPyuzZk0pMjMn27QrdutnJ\n",
       "k8ekWDHBvL51SwIkChfWyJ/f5Jtv0tg1r75qY9s2Qchq00ajd28xJlS7tsbkyeJ1gwfbkCSIj9fo\n",
       "39/Gvn3uLFsoALVrO4mKMjh4UKVyZT9t2gRo2DCNWX7ggEy3bg4OHkwNO86bb9qwWIQmb1YIEgd1\n",
       "XQ8xnoPEI1mWURQllKE672cA/sUIKlQ50klCNWzYkG3btv1h4Ze/ETL95P+xGWZ6/JYMMytJu/TH\n",
       "uh8HD0qUKmVmGSwDAfGaypUzMsKCTMW7d++ya5eF2rWFxqjNJjFvXoDx4xV27gz/m5s2yVSvboSC\n",
       "5f3o00fnyhX4+muZ9etlXC544w0NVYVt2wxKltSIjPQRFRVFly4qt29L94g1acc4dUrC44EVKwLk\n",
       "z2+ybp3od54/L3qf7duLHXGuXNCxo8gyfT4YPVrlzTfFiEOnTknMm6cCrnsCBDB6tI8DB8TIQs6c\n",
       "sHOnhyefFHqgXbr4mT8/XHxh5MgAN25ItG5t49NPRbAE6NUrwPLlCv/+tzjpTp005s1TKVtWjCYM\n",
       "GCBUaMqWNejUycbkyX5OnZK5fl3huecMWrfW2bLFydNP5yNfPomrV2Xef99Knz7JjB59m9RUITB/\n",
       "966ExSJIMKtXK4wZY6FdO43jxz0MGKCxZYtC06Z6hoXX74etWxXi4jIPZkJ1J+tAt3GjkkFUQtM0\n",
       "vN4URoxI5fXXNfbsUdD1Bz/Xa9cqNGyYdn7ps9DoaCfLlgWYMcPFqFER6LoowRcq5OfmTYiONihf\n",
       "XufUKQsdOxrs2WMNsVknT06hRw+RtVWuLMykCxXSWbvWQs+eOg6Hgx9/dHH5ssLw4W5WrbpLgQIB\n",
       "KlSIJCYmQFxcmun2Sy/ZcDiE+XPbtg5+/FGiQAGDDh0CnDwps2KFMCz4+GMfp06lsGLFbU6fVkhI\n",
       "SPteDh3q5/p16Z4fp4P27QNs2eJm9Wo1VG0ZMsTP11+r5MwpJCKz6mV++61Cq1biPC5dktm7N5W5\n",
       "c+/Spk0gbAyrXDkDwyAk+h5EfHyA5cvVLBnrwc8hvZ5wUPM1PXs5KELh8/kyVSj6q5BVZpuVKMr/\n",
       "T/j//wqzwG8tyd7v8HG/pN2DjrVrl5whGKbH4cMSMTEm97cAgl8Ar9eLyxXJ7t0WatRIO07RojBt\n",
       "msZzzwlafBAbNsjUq5cx+AbPy2IRYypDhqgsXSqj6xAba+B2u1m1yqBBAz0kEyjLom/13Xcyqalp\n",
       "xxkyROWxx0zq1jWZM0ejWzedQYNUOne20L69HlLEAXjlFZ3ZsxUmT5YpXdqgYkVBjCpWTKJmTZMv\n",
       "v7TdK0VpjBol9FFz5jSpXTuAaaZgmiYul4vnnzdZtkwNc31QVVGWzZvXCAsguXMLNu4HH4iqQb16\n",
       "Qtbu1CmJESMC97JShYsXJWJiRIBs2lTn669FANm7V2HlSh9ffunD6xWenjt2WFi0yMWUKS4CAQld\n",
       "F8bRZ87IoWdk48YUnn02ENqsrFwpAub9+PZbmVKljAx+piAMt69ckcJE+tPj3/+WuHZNonx5I/R3\n",
       "vV5vqIfudDopUAAefdRk8GAbn3+e9a4/IUEJmyu9H0WLwpIlPr76yhpybDl71orbLXxEe/dO4cAB\n",
       "mdjYO+zYIXPypEKVKjolSigULGhSrJjGsGHZOH9eZt06lU6dvERE+PH5dJo3d2KzwcCBBi6XjUKF\n",
       "FGJiDC5dUmnYMBsff2whNtZJUpLBlCm3qF3bS86cBpUqRVC5cgRTplipUEHn6ad1btwQTjl2u3Cl\n",
       "mTDBzYABdm7eFBWe9etFgFJVk3LlDHr0CJA3r0mfPgFGjhQfVp48Jq+95mfgQBsvveRn8uQ09S/T\n",
       "FL3Jxo0dvPSSnfh4jUOHUrlxI+slVJLgmWcCLFoUXt6tWNHA5/tlh5TwY6URioLs5aDea5BQFDTe\n",
       "/k+ZSAfxdyoN/9X4xwbM9PilgJleDCAzSbtfOlZionRP0Fxl3TqZ+9sRu3aFO48Ee6MpKaKPFBUV\n",
       "xdmzFpxOKFIk/L2NGxu0aaPTo4dYEExT9C/vzz6Cxw2iShWT+vUNTpyQaNcuQErKXQzDYMsWB02a\n",
       "pIkrnD0rgkJsrMEHH4iF9+RJmUOHJMaPTysHfvihTp48IlPevVvm6tW0v1ukiDjP999XGDRI3EcQ\n",
       "5th9+4qRkvPnTerUcbB9u8LChV58PpgwQQ0tDrIskz+/ELFeuFC9d24SLVva6NFD4/x5mXPnwj+T\n",
       "V18NsGyZyrlzEhYLdOigMXeuisMBM2b4eOUVKyVKmFy7Jvpy7dppfPmlSvnyBtevS/z0k0S5cibT\n",
       "pvnJn1+Igw8bdofu3f3Ury9UbBSFEKPT55NYuFAwBpOTkzl1ysu5c1KmptBr1ojAnBnWrpWpW1ew\n",
       "czPDxo1pvc8gU1rXdVwuV0jicf16hdatNdav9zJunIUPPsiY0dy4AcePy9Ss+WBPxPSbH0kS/TuA\n",
       "MWMC7NjhokULnezZI9i714LbLfH663dJSUlhxgwLQ4Z4GDZMlHvnzbPRvLmOoij07CnK3g0a+O8R\n",
       "iiQ++8zC0qWpbNniJn9+eO89F6dOqaxfb6NKldz07x/Bvn0qefLo5M+vkz+/QbNmPj7/3E3Pnn4G\n",
       "DbIxfLi4/qef1nj6aZ26dZ2UKRPB0qUqCxd6KVDA5NQpmZUrxc3t08fP4cNKSMque/cAKSnieTh6\n",
       "VOboUTkUKF95xU6nTgEOHEila9cAuXND8+YB5s2zZBk02rUL8PXX4SIG4h4G+OqrP676EzSQdjgc\n",
       "IbJZkEfxVxGKMrvWf0rQ/F/AJOuAGZS0Sy8G8Et9zvuPZZpw5IjMunV+YmMN3npLoWxZC4sWpQXO\n",
       "nTslqlYV/wgEAmHOKUFs2yZRvXrmC9u77+r8/LPExx8rHD8uPBzvdxPJ7GGuWlXImcXEeHA6nVy/\n",
       "7uL2bREkgli+XGjBjh2rMWuWwqlTCv36CWWdp58Odxdp0EA4XTRsaFCjhjWk2mOaJjlyBPD5JB55\n",
       "RA6RA3Rd56mnAmiaSbVqTm7dkhgxwkts7F169fJy7JiFkyfDNX5feklj6lSVy5chPt7Ga69pjB0b\n",
       "wOGAt98O38nnygU9ewrRAYDOnTUWLFDQNCHhVqCAyc8/ixGJY8fEpuD6dVFurldPzGkCfP+9yFLu\n",
       "3pV46ikrzZsr9OunceOGQmSk8ILUdUF0ev31SKKionA6nSQk2GnQwI/f7yYpKSmdm4jGmjUKTZpk\n",
       "FTCzDqYggmFcXBo5JJhVpi+JrV+vUL++TokSJhs2eFmyRGXwYEvYZm3dOoVatfQsS/dBfP65cG2R\n",
       "ZbHYz5+vEhkJnTvrLFig0qmTzrFjIiAXKWLwxBMBzpyxc/ashWbNNK5eNSldOkCZMgHatnVSt66L\n",
       "5cutlCunU6OGybZtNvr3d1Kvnp+WLZ0UKeJiwwaV2FiNd97xMnu2h02b3Kxd6+HixRROnXJz+HAK\n",
       "H3+cwsGDCuXLu1i+XKVECZ1PPrHy0EO5KVIkOwcOyHg8Em3aaCxd6qFGDZ2PPvLh98PAgTbu3BHZ\n",
       "6IcfehkwwI7HI+QYP/nEy9tvC4eU5s1FoOzcOcC+fal06KCFbWS6dQvw+eeWkK7y/ShZ0iQmxsyg\n",
       "8NO2rVAVyup9vwfBLDRYyn2Q80h6QtFvDaD3B8e/M6P3z8Y/NmA+qCR7v6RdUAzg1+yggq8JHu/s\n",
       "WVE2rFgRevQw2L07wMSJGhMnKtSoYeHQIYldu2SqVtVDvdHMnFO2b5ezDJgWC3zxRYBx4xQ+/TSj\n",
       "w8j91xi8vq+/Nsie3WTSpEh8Pitr18o0bBjugrJsmUzLljoFCsCwYTo9ekTwww8Kffrcr0gkMuXo\n",
       "aJOSJU3GjNFo2tRCQoLJhQvJLFxopV49nZkz09KVO3dSeeMNNaTkUqCARrduSTidToYOFdf1zjvh\n",
       "QbBaNdGbjYuz06mTxgsviAWsVy+NFSsUfv45/Lr79QuwcaPC4cMSpUubFC1q8tJLFhITFbZt8/LY\n",
       "YwZWqwgeQe3ahQvVe8IGMj6fj5EjZQYM8BIRAdOm2ULnce2aRIUKovzs94NpSty5I907lsKqVTba\n",
       "tIHIyEgiIyOxWoWG7sGDATTNoGjRpFD5LLjzD44lZNW/9PuFoEG1anfDssr0z+bZsxJ370o88YT4\n",
       "vKOjYd06L4cOyfTsaQ1lO6tXKzRu/Msr9syZ4jMQwcTHrVsScXEaBw/KaJoQVFi/XsbjgaFDk3A4\n",
       "HHzxhYtu3XSiouzs3m3nxx8tzJ/v57PPUvj+ewWn02T/foXXXrPRsqWTO3ckli61UbAgLFjg4erV\n",
       "u3z9dQq9enlo1MjL44/7ePRRPw5HcC5UoU4dmc8+C3DpUirLl7sZM8bD2LHJKAoYhsnQoUmsWXOb\n",
       "JUtUliwR86c1a+q0bq3hcJgMGyZ0pOvX1ylfXuf99614PMK2TFFg7VoVt1ti0SJ3hkAZRLlyBnnz\n",
       "mmzYkLE9E0SXLn5mzw7f+D32mEHu3CZbt/5+ksyvyeqych5Jb1Cempr6QDnEX4LH4/mPE4/+W/jH\n",
       "smSBkCOEx+PBNE2cTie6rt9TsjF/M3M2iNu3b5MtWzZkWeaLL2Q2bJCZOzeczWiaMHeuzGuvCfuo\n",
       "H364RkSENUO59/bt20RFZaNkSTsbNvgpXjzrv7t8uUyXLipTpmh06BAe0DweD4ZhYLfbSU1NxTBM\n",
       "ihXLQ48eOrdvS9hscO6cxAsv6LRoId576RJUqmTlwgU/VqtYrPPmFSzWH38MkD9/2vE3bZIYNEjl\n",
       "k080unSxcPCgGCF47rkInnjCICZGon9/ndhYKwcOpOL1QpcudiIiDHr3TqJt21xMnXqH1q0NVFWM\n",
       "ZkyfrjJkiJXTpz3kzSv+jtcL1arZSUmBkyfTmKe3bwuLqxde0PjXv8KZpbNmqSxerLB2rY8XX7Sy\n",
       "dKnC4cOiPPf99xLx8XZSU6FECZMbN+D6dYkSJYSgd/v2HtautXP8uJeuXa2cOiVz+LBwYejf38Lm\n",
       "zTI//yzjcgmiyLlzErlzm+zY4aNqVTtnzni43wjngw9Url+X+OADT4gJGbT62rzZwSefOFm3zhPS\n",
       "Ok57ZkzWrdN57z07iYnu0KjI/Zg8WeXoUZmpU8NZmG43PPusDYfDZOpUP48+6uDoUQ+5cmX9TB04\n",
       "IFGjhh1Jgr59NbZtk/n+e2E0niuXSXy8zpAhPh57zMGNGzLXrrm5e1fm8ccd7N8vSutly9rJndvk\n",
       "9m0J/33EULvdZMgQDy++6EZRRPAOWpulv37DMDKQWoIOLcHMKoikJDf9+2fnm2+sFCtm0KdPKu+9\n",
       "F8GUKXeoVUvH71eoUyc7t29LTJzoo359jXXrFF54wYGqmlSubBAbqzFhgpVHHjEoUsRk2rSsnTcW\n",
       "L1aZNUshIcGTKfElNRUefdTF9u2pYR6a06db2LVLYfbsrI/9IATXL9svlQh+AaZpZmDlGoYRYuMG\n",
       "/z84s+71ekMzuwBXr15l6NChLFmy5A+dx98M/2PJZoUgG9XtdmeQtPu9xwt+sbNyFpEk6NDBz6uv\n",
       "pmK3G3TsmIekpIhMSUSnT4vXFyv24L9br56BrsPixeHODUEEe7FWq5UzZ7Lh9cJLL+n8618aCQky\n",
       "O3ZIYWIHK1bINGpkhBb8xYtlcuUS6iuB+6YdPvlEoW9fnerVTWrW1HjrLZ1KlQLMmqWxaZNK/vwG\n",
       "RYsGaNpUY/BgG7GxTurV05k16w4jRmSjdesAS5a4kCQJn89HUlISzz57h+zZTfr2Ve/JuJm88IKV\n",
       "hx820DSJY8fS7lWOHNCmjc5nn6kZhs67dhU6vK++KgKcxQJz5ypUqmSnTRsbcXEaXi88/LDBhg1e\n",
       "SpfW6d49hWLFDDZssKOqULmynfz5Tc6ckUKko3r1dM6eFcGjd+8A584J140bNyRGj1Zp0kTPECxB\n",
       "uH20aKGHlc6ioqJwuVysW2enYUOhGJWUlBSai/R6vaSkpLB+vUrjxmamhLMg1qzJPHN0OuGrr3xY\n",
       "LNCwoY3HHjMeGCwBXn9dXICiCIGCo0dlHn7YZONGL8eOySQkSBw+7OXiRYXOnTUURWbWLJWaNXWG\n",
       "DrVQpYodXYfSpQVjVFVFOTIuTtybrVt9DB0qkSOHmAsNblKDNlvpNXKD/Tqr1YrFYgmNVgSFFYJ+\n",
       "oYpiMmOGm4MHU8md22TgwEi8XolOnXLSp0825syxUaeOl6Qkic6d7RQuHBHSsVVVIXIwebKVN94Q\n",
       "SkyrVqmcOJH1UtmypcaFCwoHDmSeLWoaNG4cYNQoKwcPyvzwg8y1axJt2wbYtElsnn4P/qy+YWaE\n",
       "ovRyiPcTiu7fvPxWWbz0uHXrFnFxcZQqVYr69etz586dTF8XExND2bJlKVeuHJUrV/7d1/pH8b+A\n",
       "ieil+f1CVPxBBsu/FukD5o4dEtWrh0evoINFcnIyJ05YGTbMoGZNk+rVrRw8mPHvbtsmiBm/dEpb\n",
       "t8pUqSL6cuFiAYEQBT1oaTZpkkq+fBATI1RxuncX/cygkg3AsmUKLVuKAOp2w4gRKrlzGzRv7qdX\n",
       "L0soKB89KnH4sEz79hopKSkMG3aHr75ycuFCJLNmqbz8coCFC1XGjrWSPz989ZXKyJFu+vS5zQcf\n",
       "RFGsmMTUqRqHDyucPClGdaKiooiIcPDBB24SEiycPZtK374SN24YTJuWTM+ePsaPD9/QDBsWwDRh\n",
       "4sTwnysK1K2rM2uWSny8EOT+6ivhQHLqlJdPPw3w9NMGBw7IjBgh066dh337nFSrZuD1Shw/7mXe\n",
       "PB/JyYIM8txzVnQdzp4VwbdpU40jR4Tog8cjPqT581VatsyoR3runMTly4IBe+6cxM6dogKxZo3C\n",
       "5s0qq1ZZqVNHDt0Dm80WGh3QdYOEBCv16rmz7D8lJQnj66AG7f2wWmH2bD8+n/BmvL+EnR6aRkj3\n",
       "ND5eZ+hQIRzQtq3Gli0SsbF+4uN9xMUJ/cUhQzSSk+HDDy1s2SKeP10XpXVNk8iZ06RSJYMjRxQu\n",
       "XZLo1k3jscfCpSCD5cNgWyL4vN6vTuTz+UIZZtCpRZbl0D0xDIPChf2sXn2XkyeTaNcugNMJ33xj\n",
       "ZeJEJydO2KhSRYjS58hhUrWqn8OHRQZ88KDEtm236drVw4IFbjTN5OWXs87iLBZ46aUUxo618eOP\n",
       "El98YeHVV23UrSv6saVLu9iyReWrryz07Wvn+eftVKvm5JFHXMiyyZQpDxZJ+G/gfv/LIKFIVdXQ\n",
       "rO6lS5eoWrUqY8aM4caNGxw/fjxTgYUHYcyYMcTFxXHq1Cnq1q3LmDFjsjyfLVu2cPDgQfbu3ftn\n",
       "XOLvwj+6JBvctQd3r79F2ulBuHv3Lk6nk59/tlChghAQCGu5C0sAACAASURBVFZq/H4/brcbVVVx\n",
       "Op089pidr78O8OijJkuXyvTrpzJ1qkazZkboWP365aRWLZNu3R78ML7yikqRIsKJo2ZNKwsX+nny\n",
       "yVT8fv89QfY0IlHBglbat9cZN04srD17qqGZxRUrAly/Dk88YeX8eT8OB3zwgZj33LdP4uDB27Rt\n",
       "m4NWrQz699fp1k2lZMkAvXrdCc2NzZypMHmyENXev9/NlSsy1as7cDhMGjb04nZLtG1rMmCAnV27\n",
       "vOTMKQLdjh0yixaF1+1KlbJjsYhRk2XLknE6dW7d0nnqqdysXXuL4sWlUBmvVSs7O3cqnDzpIUcO\n",
       "UfqeMEFlwgQLKSnCL3P0aD8DB1o5ftx7byzF5OOPJQ4fBr9f5cwZhXPnZPLnN0lKgrNn00q/DRpY\n",
       "2bdPoUwZg5s3JR57zODRRw1mzLAwaFCAOXNUrl4VUm8zZ/rp0EEnEBCzeDt3yixYoHDxoozPJ4Tp\n",
       "8+cX87kWC1y7JlirVqsQW69USaNKFS+NGvkoXdrODz/ItG9v58CBJAxDDynABMuXqqqybJmNBQss\n",
       "LF2atSWGponydcuWGtu3Kyxf7qNw4Yxf9bfeUhk3TrCzO3fWWL1afJ4LFqQwfLidfv38tGwpER3t\n",
       "uCdELo6taRAVBYULGxw5IoL3t98KUf2SJU3eeivAZ5+pdO+uZfAN/SUEg2H6UnbwHhiGgSRJOByO\n",
       "kGZu+mzIMEw2brQydKgTn0+iVCmDy5dlLlwQ/z1unI8KFQJ07eogKspg/Pi7mKZBQoKdHj2yM2qU\n",
       "m969tVBpEuDqVYlNmxTWrjVZsUJI+MXG6lSooPPkkwYlS4pepSRBjx52Hn7YYNAg8Xynpoqxntde\n",
       "s3PkSCrpdAB+Fe4vjf6nEBxfMgyDgwcPsmbNGjZs2EBqaio3b96kcuXKzJ49mwIFCvzisUqXLs3W\n",
       "rVvJly8fV69epVatWpzIxIfwoYceYv/+/eT6pZLIn4f/lWTvR2pqKqqq3hua//Mo0cFj7dghyrGy\n",
       "nCZ44HYLrVGXy8WVKzJ37wpPRYCWLQ2WLQvQr5/KnDnBj0Zi61Y5SxHuIExT+FU2aGBQtKjJpEke\n",
       "OnVSuXZNIlu2bCGfRBDi6jdvwuDBYrHSdUhIkPnoowAeD4wapbB0qSjHOhxCGP6TTxSKFhUanBER\n",
       "MHdugI8+UliyBBISJDp2TA6N3IAoN//0k8RTT+lcu6bw7LN26tTxkyOHTkSEzJYtNnr0cDB7tj8k\n",
       "F9ejhyCS7N8f/ljWqKFz/rzE2LF+cuUSO96CBV10764xfXpUKPtITk7m1VdFPfb992X8fp2XXrIw\n",
       "ZoyF7NlN5s8XDMmoKCGivmaNEupZ167tYccOO3PnavTqJUq0166JUnh615ahQzU0DR57TDiPlCxp\n",
       "sGGDKEFaLCbXr0uhzVG/fhZatrRRpIiDPn2snD8vkZwsMXq0n6tXPRw/7mXzZh8rV/pYssRH9eoG\n",
       "AwdqXL7sJjHxLvHxqZw8aaVhw1zUqyek4Ro10rHZxD3ILANbutS8p43rvpeVZiRwbN8uU7Sowccf\n",
       "B3j+eY06dWwZfEgBPv5YLMR58pgsXizIWYEA2GwBzp9XadZMZutWmeRkiXbtxH3xeMDhAKvV5PBh\n",
       "MeO7caNgJo8b52fvXi9Nm+r3rO5+O0U0fRYavAcOhwNd15FlGVmWcbvdoSw0GExFudFGo0YG332X\n",
       "TM+eXn74QaZ6dT8dOng5c0Zm6VIFu11m1iwfJ09aeOedHDidEbRqJfHqqx6GD3eyYIHBypUaQ4cq\n",
       "VK3qoFIlJ2vWqFSr5mf4cB8lShh8+qmX3r0DVKumkydPmuDH4MF+pkyxcOuW+HdEhGgjVKhgMHfu\n",
       "3y/L/CVYLBYqV65MhQoV6NChA2fOnOHHH3/k5ZdfJnfQ9eEXcO3atZCger58+bI0iJYkiXr16lGx\n",
       "YkVmzpz5p13Db8U/OsMMqmOkl6D7M5CcnIzNZmPQICfFihn06iVq/8HsKxi4vvxSZskSmcWLw0t3\n",
       "p05JNG1qoU8fnerVk+nQIRsnT2YukRbEyZMSjRtbOHnSg8fjxjAMxo/Pzo4dKgkJASCAx+MhKiqK\n",
       "Pn0UVq1SuHBB7HR37pR4+WWV/fsDXLsG1apZiYw0ee89nSZNDPr3V5Ekk+XLFZYudVOsmAeXy8WK\n",
       "FTrdujlo397PpEniPII7+n/9y8LWraKvo6omAwem0KOHD4/HQdOmTs6fl8iRw+SHH7xhWqqffaaw\n",
       "ZInKqlUiQxo/XmX2bDHH5nLBnj1pBInr16F8eQd79woCTzCjqFfPzpEjCoUL65w7p9Kzp5s33vDh\n",
       "dKps3Gilf38rAwf6WbJEYdGim9jtdlTVQtmyDhYu9BETY1K6tAPDEAGgTBmDIUM0qlTRyZUL8uVz\n",
       "EB1t8swzGkuWqFy8KNGjh2Dp+v2E5joBnn1WY8wYMbN3+rREXJyd06c9GfRjTRNKl7bzzTdeYmLE\n",
       "/G1Q2UXTBIu3e3crFovJoEEaPXpoGTxRfT546CEH+/enkju3FpK4CwaNYBY+aJCTQoVMBg8Wz93S\n",
       "pQr9+1uZPNkfEln48kuZ7t2Fwk6ZMgY5chhcvmxSooRJoUIyNhu8+26AihXtnDolrrdwYfOeyIWP\n",
       "hASFIUMsnD8vERVl8umngVBf9cQJocz0ww+/j+ySds8EYU/X9VC5MPjzrLLQ9Pfh5k2YPNnCwoUW\n",
       "PB64dUuiXDmNV14Rz+TbbwuD6Ro1hO3bihUKbrcQumjXzk9srI8nnvAjSeK6JEklLi4H/fr5aN9e\n",
       "z3QT3r+/DbsdxoxJqwAcPCjTrp2Q0Es/8/pL8Hg8IdPw/ySCKmdBgtOCBQvQdZ3evXtn+vq4uDiu\n",
       "ph/Mvof33nuPLl26cPv27dDPcubMya3gjiIdrly5QnR0NDdu3CAuLo6JEydSo0aNP+mKMsX/Msz7\n",
       "8Vd5YgaPt3WrRPnyyVkKHmzbJhMbm/HvliplkpjoZ8YMmXffdVKjRtbefEEIxwk/yclCCD4qKoo3\n",
       "3zSJjDQZNChtIQFYsSJcfWblSjlUAs6XDz75JMDJk4Lt+eOPEl9/LZxUihQxeeQRUd5KSkri4Ye9\n",
       "GIbE3r1WkpMJLc5nzshMmmSlShUDSRKLaOfOJi5XBDlzykRHG1gsIrOdPj38y965s86FCxKbNsmM\n",
       "GaPy+ecqa9b4mDHDz4kTEqtWpT2yefNCly4aY8aoofuuKAotWhh4PBLnzqmsX+9h1CgNi0Wo4VSt\n",
       "epumTT0sWwYnTshcuCDGMmRZCnlkjhljoWFDndy5TQYMEIPsn36qUqGCg2LFHEiS6EV++aXwT/T7\n",
       "hRn0jRsSjz8uxl5athT3d+lSNbQIfv210DLNTG5z3z4xWlO4cBIWi4WIiIjQWJGqCkKS0wnLl/vY\n",
       "s0fmySftzJ+vhM1VbtkilJQKFJDD+oCRkZEhJqXb7WP5cpkGDZJwu934/X7i4/18/bWXAQMsjB4t\n",
       "3E769rXdq4zAv/8NV69CjhwysbGwcKHKCy9oJCZKHD8uFI9Gj/aTLRu8846G2w0DBlhITRWzm++8\n",
       "o4WRkPbsEVZ3fwSapoWEPYI2akFkloVm1gu12VIYMiSZQ4fusnixh/btAxw8qNK7dwQff2ynYEGd\n",
       "Y8cU5sxRefxxH19+mUr+/MLSbfNmC7lzW4iMdISqKlarwrhxyQwfbufsWU+ms47Dh/v56iv1njOO\n",
       "QLlyBtWq6YwfnwlD7G+I+8lGycnJD0w2NmzYwJEjRzL8Lz4+PlSKBREU8wbp8PchOjoagDx58tCy\n",
       "Zcv/Wh/zHx0wg/grTKQvXhTZWsWKapaCB1u3imH5zFC4MKxfH2D7dhGMHgRN01i1yqROHS9RUVGh\n",
       "LFZRYM4cja1bJWbNEiWfM2fg55+hf3+xgJmmYMMGA6Z4jSAZtW9v4dVXFV59Vefrr2W6ddNDkls2\n",
       "m42pU7PRs6coKXXoIJzkTVOmZ08bMTE6q1ZJbN58hyZNDPr2jcAwYMgQC36/xHffeYiKgjfftHDh\n",
       "QtqXT8xeBuja1cbXX6usX++lYEHh1Vm2rEHv3ja86RKTAQOEms/p0xKaBq+8YuGNN6xERgq2o67L\n",
       "IWPfIPPvtdeScLsVSpTQmTRJJilJBI/atb0sWSIzb57K6NF+unfXOHdO5upVifnzffz0k4d9+zxU\n",
       "qCAC/uDBAY4d87B8uQ+nU/RYz5+XUVV4/XXht+nzwdChgiC1cKFKu3YZy5CGYTB/vknLlh5crohM\n",
       "Z36XLlVo3lyjfHmTBQv8fPGFn+nTVerXt/HDD9K916ihQJ0e6RmQhw5FUbAglClju5e9iurKww/f\n",
       "Ze3aW2zaJFGpkg2Ph3uyiAbdu3u5c0fhxAmF1FSoXNlg82aZFi3EHGNsrEHJkkKQvUkTnXfftRAI\n",
       "cG9eU+eFF8I3fHv3KhmceX4t0ssABhmdv3Y+WlXVMKeWtLExgzJlUhg37iZ79twkTx6TAwdUChWC\n",
       "ffvctGmjMWWKk9u3JT79NJnLlwXTNS7OQffuNg4flkIavFWrit7syy/nwjTDZx1TUlKRJA+vv+7m\n",
       "+eft/PSTGRIueO89H59+ankgGzeze/F3UNdJSUnBlZVQ9i8gPj6eOXPmADBnzhxatGiR4TVBgiSI\n",
       "7Hb9+vU8/vjjv/+E/wD+0SXZYLnGNE1u375NzvTeS78Twd3rsmVOEhJcfPVV5tnhpUtQpYpwMMlK\n",
       "s1jToEABCzlzmnTvboZ6jkEES1I//+ynQoW8nDvnw+XK+AU6cwZq17YyYcId1q+PZMUKhcuXRTn2\n",
       "+HFR/j192h/qtVSvbmHECI1Nm2Q++URh2TI/XbpY2b//Oi6XfO9+RVGtmo39+91kz27SrZudpCSJ\n",
       "Rx/VmDPHQmysnxkz/GTLJgJpw4Y2TBN8PomEBC/ZswvHj8qVxdhGsDSbmgrduwufwkGDAgwYkHb/\n",
       "Dh6UqFvXTt++Gu+8k1aiHjtWZft2mePHZX7+WWL8eD9588KgQRaiouDbb72AoMbLsozD4eDaNZla\n",
       "tezcvClx7Fgq2bNr3LmjUbx4Lt56K4mXXvKRlGShQoXsPPmkTs+ewvXjzh0oU8aB2y1k+pYs8aPr\n",
       "wvWkXDmd9esVOnTQyJ8fUlJgxgwVWRbjHK+9ZuXgwTQCkWmaBAIBUlK8lC+fl40bvZQokfmzUKWK\n",
       "nbFj/WEydroOn3+u8u67Fl54IcD06RZ27/ZSqFDWX9tXXrFQpIjJwIHhz2WwhOnzaRQsmBNNE/3b\n",
       "cuUEIc3plEhMVLHZwOEwuXpV4t//lqhcWejwLl6s0L+/xkMPGdSpY793T0z+9S9/mM0cQMWKdmbO\n",
       "9IUpSv0aBEdN0hN7/kwER1Q0TWPmTAtjxzq5fVsmf36DXLlMzp4VJfdChQzu3pWYPTuVPXsUvvjC\n",
       "RmSkmN0sXtzEZjOZMsVOICDuwdWrQvv35k1BjLLbBZta00QGnyOHSaFCYnzryhWZ/ft/XWk2vf/u\n",
       "fwqmaZKamhoWIN9++22aNWtGrVq1fvPxbt26xTPPPMPFixeJiYlh8eLFZM+encuXL9OjRw9Wr17N\n",
       "2bNnadWqFSCSg44dO4bswP5CZLoT+c8Wv//m+CM7Nl3Xcbvd6LqO1Wpl5047tWtnvYveskWmRg0j\n",
       "y2AJYmi8UCGDr75KJT4+EqtVCJlDONt2797sVK1qZhosAYoXh4ULfbRtmw2/XwrLQoLZZfCyT52S\n",
       "uHRJolYtk3fflWnfXufZZy00beohd24hv5aamsrIkeo9AWuQJJnZs300bGhl0iQrzz3nZfJkA1kW\n",
       "j5eqij7YggUqr7+e5uiQMyfs2uWlTBkH9evb+OQTP1272ihf3mD1ai8tWth57jlh+wRQrpxJw4Y6\n",
       "U6aodOqkUaqUyfnzEvv3y2zapFCkiOiJFixoYpowapQFTTP5+GPo0UNkJMFh/+hoWLlSiAsMGWJn\n",
       "9mw/Cxc6yZYNiha1YbNBzpw6jRp5uXVLYsUKk/r13UyZEkHDhho3b0rs2CHGIwoVMmnVSuPCBQmH\n",
       "Q7iQBAJw5IiXTz9V7w39W+nZUwvdZ8MwQjNte/dGUbSomWWwPHZM4tYtMig9KQq88IJGo0Y67dtb\n",
       "8fkIE6a/H4GAmAHdujVj7zBImJk503qvX2ySkiKRlKSwZInEiy+6yZULvvvOQuvWAQ4ftpItm0ly\n",
       "sihJa5pEsWIGtWuLYLl8uZf27e0ZSq937sBPP0lh4yS/hODGwuv1YrPZHjiD+kcQzEJVVaVfP+jb\n",
       "18v+/fDppyoHDypYLAY+n8ylS+JL26KFi8hIUW24ckXl3DnxWft8YrOhKHD5MhQrplOqlPBiDQTg\n",
       "wgWJwoVNLl6U8HgkFMUMlfY9HoiJiaBKFY3oaIiJMSleXFRXSpY0wtSG/i4ZZnJycpiM529Bzpw5\n",
       "2bhxY4afFyhQgNWrVwNQrFgxDh069IfO8c/C/0qyEKKJ/1km0oqismWLSu3aWR9v0yaZOnUeXJZK\n",
       "TJSpVUsjOtpg7doAU6YoTJ0qhdi2ERERuFwuEhLULHVJg6ha1eTFF1NISSFMnGDpUjksgC5YIPPM\n",
       "MzrLl8v4fCZvv30Tw4ANGxysXSuo5IcOSSQmyvTunRralc+cqbN3r0qVKhrr1tlD2plJSfDMMzbO\n",
       "nJHZulUEkMmT0771efII2ba9e2WqV7fTp0+AadP8lCtn0r69xpAh4X2dDz8MIEnQsaON7t2tVK5s\n",
       "Z9Mmhfh4nVy5TKKjxT2XJHj9dS9+v8mECXYuXYrMsNCWKmUyc6aPb75RGDVK5aOPLPTuHWDjRjVU\n",
       "wnzlFfj+eyuJiTZSUxWmT7fx0kt3aNgwlbx5dWbMELveVq00Nm9WGDAgcI8tKrFhg8Izz4j51itX\n",
       "JMqV00Oi2CkpKSiKgsvlYv58K507Z/35LVqk0ratnuXmqmBBk4cfNmncWKdRIzuTJ2duHZWYKFOi\n",
       "hEFMTMZfiufYy/DhwhMyJUWiSROdcuUMrFaJSZMi2L/fQvXqAdatE6XGXr2SuXgRPvlERVEMYmPt\n",
       "GIbYBGXLJlG0aEYHnn37ZMqVE0Hm1yAoKOLz+UK6qP+pICFJEpUqSUyfrrN3r5/Ll31cueJmz54U\n",
       "xo9PoV49L5omcfOmjN0u+AIgWMWNGmnExwcoUkTn5EmF775T2LtXZudOhdu3JW7eFEISTqcw2751\n",
       "SyY1VQYkIiNNDh9WSU7WuXEjwNy5MnXrOvjwQ+U3zzn+2cgsSKekpPzugPl/Df/okmx6E+k7d+5k\n",
       "0G/9JQT7P5IkhZE0jh7106yZk7Nn0zKK9DBNKFbMysaND5a6q1fPwssvu6lbV5jEnjzpp3HjCIYO\n",
       "9fLii0KqStehaFEr337rp2jRrI9lmibPPGOybp2d3Llh3boAsmxSp46Vs2f9KEqQqWnl8899dOpk\n",
       "oVMnN6dO2fn+e4WSJU22bRNKP2Ke0aBECR2nU+fUKZXvv7dQtWqAwYMDXLumMGqUlTx5TP79b4n4\n",
       "eJ2xYwNYLHDxokSLFjYaNNB57TXh5DBhgkpUlMkPP8g0bqzzxRd+VFWIJTz1lJ0PPgjQqJHOqVMS\n",
       "q1crTJwoCDY5c5oULGgyc6afRx81iYuz0bmzRpcu2j1dzABNm+bm8cfh++8lNm/2ZbpQN2xo49tv\n",
       "ZeLidN59N0D9+nbGjfNz44ZESgrMm6dy65bQjzVN+OYbP9evmzz+uPOeJurP7N6t0LFjTtavv0vH\n",
       "jlHkyiVGTHbs8PLwww5MU2QLe/fexDCMkOn4zz9D2bIOjh3zhHkpBqHrUKaMncWLfZQtm/nX0e2G\n",
       "kiUdfPedh9RUie7drWTPDtOm+cLkC7t2tVKtmsGLL4aXY4PVkXHjIvjXvyKIihKZ44ULHipXtlO4\n",
       "sLB3UxSxEQkECAVkVYVs2UyeesrP2rU2Fi68TZ06Bp9+6uTkSZVJkwJhC+yoURb8fsJK6llB0zTc\n",
       "bndo8/J3yKbuz3YtFgs//igcZq5cgchIHbvdwDTle+byMqoq3RP5NyldWiN/fgObTWwaJEnIPZ4/\n",
       "r5KSImGxyPz0k8zmzTL794uNT3S0QfPmPvr0ScXh0EKkJk3TsNvtGSQU/0qIsr0vTDu2Q4cOzJo1\n",
       "K0vCzv9R/K8k+yD8VhPpoGi20+nMkLls3qxSq1Ygy4f4xAkJq/XBUndJSXDokET16oJ5mpycTHS0\n",
       "yerVKk2aOImMFHqxu3ZJREebDwyWIHqDGzbYad5cp25dkwYNLLRooRMfb6Aoos85caJYwBs3FozK\n",
       "w4ed7Nkj07q1RsWKOi1bmkyZYuXyZeG3Wbasj8WLHZw+rVCkiEG+fCZjxlg4e1YJ2WMpCixYoLJz\n",
       "p0zRokJVpWxZgzlzVCZNUqlRQ2fiRD+1ahmMHavy4YcWmje3MmJEgOvXZWJjdTp3tpIjh4ksQ61a\n",
       "OpUrG6xapZCSIrFggY+HHhKf27hxflq0sFGzZhL580tERrp4912Nvn2Fjdebb1oYMyZ8oTYM0DRx\n",
       "7J07FapUESLs8+aplC5tEBkpWIwJCQrr1inkyAElS9pp2NCgaFGx6K1Zk40VKxRq1NBYvdpG164e\n",
       "fvxR4sQJBwMHyjidgtxx/rzEN9/Y6dw5zT5t/nyVRo30TIOleJZkcuYky2AJQgqvfHnjXnA02bDB\n",
       "x/vv/z/2zjNKiurr+r8KnSaSTICAgH+yMASRKAiKoiAgEiUYEBEEFUQREEUERBERkSRJyUiUHJSc\n",
       "JQcBBUVyntipwvvhUj3dMz0jYQjPK3stl8u2e6q6+lade87ZZ28blSu7GD7cyzPPGCQkCAeTL79M\n",
       "FYWwsl2v14uiOPj660hcLkhMlKhRQ2fSJDF7WaGCEBhXFKhe3WDuXIXu3f2cOiUxebJKp05++vZ1\n",
       "8PnnPp55xoau62zapFCrlpuEhJSQUY7Nm+28+WbmrG+L2OP3+wN2VXcCgsdYgjfIRYqIfwQUTFO+\n",
       "0gv1BkZbIK1GrrXhFVWHYsVCxTo6d5YCZfJUOAO6r5b2sKV4ZOm9Wtqvt9LM+UZKsv/XcDdgBuFq\n",
       "TKSt3qHdbg8IrKfFggU2JMlg2TKoWdNMl9WsWCHKsZltCletkqlY0cBmExqZlmFsbKzEwoV+6ta1\n",
       "oaoaO3ZIPPfcv5dp5s1TcDhMmjUzePZZk5gYjVatVJ5+2qBSJRsnTkhER+vUquVh7Vonv/7q5/ff\n",
       "BaP2q688KIoYUP/kE4lhw5JZuVLhk0+ikSTRiyxd2uDCBZV9+2QKFDD48EM3Vat6OXXKZO1alZ07\n",
       "7fz1l/j/Pp8Qe/f5RL9v9WoFVSXAGFy9WqFuXYVKlQxKlDCoXl3nzBnx4J41S+XFFzWmTfPSrp2d\n",
       "Dh3sLFrkRZJMihRx07SpTo8e2Zg2TZRua9QwKFTIpGpVnQkThNdlkyY6J05ITJqkMHy4SmKiRO7c\n",
       "oqSZL5/Jp5/aSEgQYuMFCoh+aN68LhQFdu50s3KlwpIlCidPSlf8H23IssTMmR7atXOwcqWHuDgX\n",
       "DRr4WbXKhiyLEm1kpMk770TxwguXcDhUJEnh++9Vxo71Zfi7/fijSps2mQeYSZNUWrZMfY/NBh99\n",
       "5KdWLZ3XXrOzeLFOiRIGjz+uB/rBVqkTIDIykq5dnYHM0TRFb7RNGwevvaZhmnDunMTjj+scPCg2\n",
       "QR07apQs6aRUKZ1PP7XTsaOfjh11QDy0t22z0a+fQUyMGpgHdbt9bN0aTbFiCaSkyIFAapkgQ2q2\n",
       "K8tCHvBWPvgzQ3C2GxUVlWlGF9wLhfRzoZYMZ/BcqOVjGqxOFBxsgcB1sljPPp+PyMjIQFvEqpjp\n",
       "uh7IQoMF1LMiCw1XkvX7/YHz//8d/+mAmZnFV1oEu5hERUVluOv1euG33xTatfPQv38E7dpJtGyp\n",
       "07GjTp484j3LlokRjcywZAlUqyYECCw6vIVixUx+/tnPs8/akCSYPfvfy1tjxwqGX82aOidPyixZ\n",
       "Isq5K1fK1Kvn54cfLlG16r3kzCnURwoX1njtNQfvvONDUcTN1ru3yuOPeylQwM/69WL4PX9+g9at\n",
       "dWw2iI42KVvW4J57rKM6KFoUatQw0XUfuu4OPDxB7LjPn1f57rsIfvjBRsGCBlWrGvz2m8yePTLb\n",
       "t4ve0MGDYrQjNha2bXMHyowvvKCzYIHKt9/KtG17GVVV+fhjqFZNYcYMIzDC8dlnPp591smkSR6a\n",
       "NHEydqzOvn0KZcuKB8vOnR4uXoQXX3SwZ4+HggUNOne2U726k7g4g5IldZKSBGu5WDEXJUoY5Mlj\n",
       "Uq2ayDwvXxbrqFUrBwkJEkOGqBQqZHDggOhNKYoggHi9ghlZpEg2Hn5YwzBMEhJMtm7V0DSTsmUl\n",
       "HI5U2bWzZ4VKztdfZxxQT54UpKcpU9KvpypVDDZt8tCtm50PP7Tz/vv+kJKi3W7H4XCQkiIxdqxK\n",
       "tmwm8fFCQP7NNx3kzm3yxRd+cud24XAIEfuOHR107epn926Js2clzp9XaNhQ5/PPUwP28eMSPp/E\n",
       "Qw+ZgXELm83GH39I3H8/PPigK8BGDQ4eIO4zp9N504g91wrLCs/n8113tmsFr+B2TzAj17LUgvRO\n",
       "LcFZqNW/DFZvsl4LHltL6z5iCTdkRRaaEdHoTvitbgXujO3bHYCMAmYwqcdmsxETE5PpTbNunUSJ\n",
       "EgYffJDCqlV+VqwQJJDy5e107Khy9Chs3ChlSPgR5dckli6VqVtXjECEQ8mSJt98IzRfDx7MfLEe\n",
       "OSJ6eNWqeenXT6VcOTuHD8s0b66xdesFzpyBunXvoXBhg/nzFXr08LJmjfB2rF9fXJMFC4Tpcfny\n",
       "Js2bZ0PTRMBauNBH8+Y6jRvr1KkTHCxDr63lzJF2Bi5XLo2ePS+xe/dpPvookezZ/RQvrlGwoIHb\n",
       "LbwfO3f2s2ePh8OHJTZvTn3oDBzoIzLS4LPP7Bw6FHlFIFpmzBjvFVswcV3y5zcpUsSgWTMnsbEm\n",
       "u3YpdO/uY9cuhXnzPOTPbxIXJ2ydhg8XWbffL/HTT24MA775xhZCuPH74cQJiVOnpJDXz5yRSEmB\n",
       "b7+1cfw4/PGHcI159VU/TqfIoEuVEnZq77xjkJys1cCCnAAAIABJREFU8vjjOrt22ejSxcWDD0bw\n",
       "3HMq33yj888/PsaOlWnQQCN79ox/20mTFBo00NOp/liIjYVu3cTxR49W6dhR5swZkZlYfcGXX7Zj\n",
       "mqIUa/XUChc26N3bz5w5MomJMH68l48+siPLQsKwdWuRUTz/vOg5B2PjRpnHHtPTVVA2b1aoWNFI\n",
       "J7BuZUlW4LQ0ni1hhWv1Z8wqWAbymqZlukm+HmQ2F2q1fKxroGmib2k5tVj9S8sUOtitxbpWmbmP\n",
       "+P1+UlJSAkbSN3KN/0vm0XA3YAYQLmD6/X7i4+MDouXBsnYZQei5pi6+hx82GTRIZ88eHzExJhUq\n",
       "2MmZk3RCy8Gm1b//rqKqEqVKqZke78ABmSZNDHr2VJkwIeOf8ocfhGHv5s0Ozp+X2LbNy+XLJk2b\n",
       "JpAvn50lSwRdffdumezZDTZuVOjb10737n4Mw89ffyXRqVMkefOa9OrluqLL6uPTT/2ZjsVkhHCu\n",
       "FDlyRFOzpkSXLh4++yyexYvPMmbMZRwOkz597AwerDB5spfOne2sXy/j9/sxzUTGj08AJF56KTJg\n",
       "6xUXZ9Kzp59GjRy8+aaN4sVdxMQITc9Jk3y0bq3Rs6edfv28lCmT+pv37evnm29sXLoElSvr1Kvn\n",
       "IipKEItOnHAHem9DhvgZONDPF1/4yZfPpEwZ44o2rZe33/ZiGFC1qh9Nk4iMhMOHZebN8yJJ1oMS\n",
       "una1k5QkMXasxujROlu3+jh82M2rrxrs2OGgQoUYvvjCQaFCKSQkJAV6esEsSV3nioh55hWGiRNV\n",
       "2rb18uuv55AkierVczFhgiMw4rBokUKuXKLPapoECE9Vq+q8/rqdHDng+HGZ+HiJ3r39tG0r+tjF\n",
       "iplMmpQ++928WbQT0mLTJpmKFUMzYevhbbPZiI6ODri0WKQoi1iXmJgYMDkO59KS1RDzsUkBremb\n",
       "XRq+WnUiK4ha88Q2my0QRGVZDpRyg+3OLPH5YPeRyMjIEPcRr9dLcnKqBrG11tJe5/96hvmfZsmC\n",
       "aJqDUJCwFqHV39E0jYiIiAyNetPCNKFUKRsTJ/ooWPAy2cOkBq+8orJ1qyD9jBqlUb68GejbGIZB\n",
       "ZGQkQ4Y4OH5cYuhQLVOd20qVbAwYoJEnDzz7rI327XXefTd0Z69p8PDDdi5dgkmTLlO7tsyOHRqt\n",
       "WmXj9999KIrEzp3w3HN2oqLg/ff9fPedjX37JAoV0nG5TP74Q8XjEaLln33mo2XL8D6PWQmrpHTi\n",
       "hEHv3g5+/tlJdLRBmzZuJk6MYPToSzzxhHjATJig8OGHdsqX1/ngA41fflGYNUvhxAmJfPkM5szx\n",
       "8eCDJpMnK/TubUNRoHNnjS+/tDF6tJc6dVIf7h98YOPyZYnq1XUmTRKuJUOH+njqKUGcyZPHxdCh\n",
       "Pl55RWfHDonnn3ficIgAPXWqxMyZF6lZ8x6Sk4WNV3S0KHO2ayfk+YYPt/Heez6++MJOkyYa48eH\n",
       "D3bjxysMG2YjIsIkPh46d/bQuHEKsqwFSmsrVzoZNMjFmjWeDNen221SrJiLuXMvULKkA1VV2blT\n",
       "omdPIQbv94uyrmkS6Pk6HMIObeZMhe3bZTp08PPDDzacTpN77jHZu1c4uYwalV6UAKBKFcEyTqvm\n",
       "88gjTqZN81K8uBlC7ImIiPhXPVQrEFglfUts3SphWuYCN/rgvtbzulWwKl3B/cKMNHKt94cz3YbQ\n",
       "XmjaYwT3Tq3NWXAp1+8XZEZLalHXderXr8+aNWtu9iW41birJRsOwXqylu9gfHw8kiRcPq6ll/L7\n",
       "7xIej0RcXPhShWkKB5OpUzW6d9dp1MjGxx8bXLyYqv+qqiqLFwunEOu8wv2tv/8WA+BVq5o8/LDJ\n",
       "r7/6mDJFpmtXIdZtYdky0Qd88kmDKlW8uN1ufv45imbNTBRFfOdvvxXM0AED/LRqpeFwGHz7bTzj\n",
       "xydx771SgARy7Jibl1+++cHS+t6qqpI/v50ffjDZsMFNXJzO119HkpgITZvm4NlnXbRvL7FsmXDH\n",
       "WLlSoVkzBykpMGqUj7/+cpMrlxBw//13iQkTVHw+iRde0HnrLUEc6tjRTq9eYtQBoGdPP7/8IhMb\n",
       "a7Jhg0KNGgZPPSV+i5gYKFvWoE8fO/HxIkvs29dHZKRJ/vyJnDypsG1bLG3a6GgaPPaY0LQtVcpg\n",
       "3TqZZctUIiJg2DA7igKzZqkh/qMWDEOIgg8a5GPtWi8jRvj5+WcnlSrlZO7cHNjtIvsaOdJO69ZJ\n",
       "GWZfmqYxdapGiRIapUunPvzLlDFZuNDLK6/4OXEiVSg+d25Rut67V+LQIYlLl0TJeeNGhZQUSEiQ\n",
       "2L9flPITE6WwWWRiohC/iIsL/X9nzsCFCxJFi4qNUFJSEqZpZigbmRZWidHlSvVLtdR+rGzQug4Z\n",
       "eYX+G67nvG4Fgs/L+t7/loWmdWq52iw0OMtN64FpXVdN0/B6vcyfP5+9e/eGjJhcC2bOnEmJEiVQ\n",
       "FIXt27dn+L4lS5ZQtGhRHn74YT7//PPrvYxZgv98wLRgMWA9Hk+gn3Ctu1VLxDxY+iwY+/eL/1Gi\n",
       "hMkLL/hYtuwCGzcqvPjiPZw/L8q9588LQ2ZLYzajgDlnjkK9eqnKH3nywMqVfg4flqlXz8aFC+L1\n",
       "sWNFwKxbV2gxulyRzJxpp3FjcaOcO2cwe7ZKoUImzz3nZ8oUHZ/PpHlzmaFDo1i1SuGzz3x8/bWf\n",
       "2/X8MAyD/PlTmDTpEkeOJPLSS4JktG2bnb17bTz1lI+xYy/z5JMeUlJMcuXyUaaMB4fDoGdPHzNm\n",
       "qFStKkZqNm3yMG2ayqZNMpUqGWzc6OH332UqV3aybJlMdDQMHuynY0cR1J55RsPvF+Ljf/8tBNqj\n",
       "okyaNRMm0i++mMTTT7tZsSKKvn01evRwEBNjcuaMxMyZXjp29LN3r8ypUxIffiiuoccjxAYMA+rU\n",
       "SW9MPHeugstlUquWWEtVqxrMn+9l/HgfU6aoVK4cyYQJERw4YKN1a8HatNvtgewoISGBhIQEkpOT\n",
       "GT8+gg4d0jtnJCXBF1+InpwkCcLWmTMS48apnDwpxOYPHxYkpZ07Ze65x0TToHZtnbZt9cDITVps\n",
       "3SpTurTIUoOxZYvCo4/q+HwekpOTcTgcV60DGw7h+uJWn9HqASYkJJCUlBTIzDIa+g8uSaZ1FLrd\n",
       "8Pl8JCcnB9oXac/rRnqhNpsthGyVWS/U+r2sTNYwDKZPn07jxo1Zt24dzz//PAMHDmT16tW43e6r\n",
       "+m6lSpVizpw5VK9ePcP36LpOp06dWLJkCfv372fq1KkcOHDg+i/oDeLO2ELdRpimGajbK4pCTEzM\n",
       "dd8sP/8s8/HHWoafX7BADOanpAhT54ceimDRIoOvvpKpUsXOmDEaZ87AE08Y/2omO3u2TO/eoeMG\n",
       "2bLBnDl+evdWeOwxO/37e1m3TrBhGza0oSgaq1cr5MhhUqKEeIiOGmXDMOCLL5I4d85D3765GDPG\n",
       "R716kWzeLDNjhpenn7596iJ+vz9gYxQVFUV0tMSwYX769PEzcqTKt9/a6Nw5irJlDSpWNPjrL4OP\n",
       "P45gxgyNS5dkZNmkVSs3q1bZ2b1b4vXXDb77Tmjjrlvn4Z57hM7rwoUK3brZsdvh/vtNLlwQoy8v\n",
       "v+xA08S1teYpT5yQOHZMIVs2g8aNoylQQGLZMoXevT0MG6bSs6eN0qUNli9X6NtXY/lyhf37ZRYu\n",
       "VOja1cfHH9s5dUqicGGDHTtkJkxQaNtW9PY0DT791MaXX/pIu4wqVTJYssTL0qUyr7ziIHt2k0OH\n",
       "JEqVkgMPNovNLcsyv/3m4MIFmSpV4klIIKR82bOnk8REcQBFES4x27fLHD8uRmWeekrj8GGZP/+U\n",
       "SUmBS5ckihQxmD7dx1dfqVSpEn5NbNwoU6qUwdq1MklJYJoS991n8uuvEnFxngCBJqt7glY5Nni8\n",
       "4WqZqB6PJ9AOuZW6rJnB2vxomnZN53UzGLnW37V+M1mWcTgcTJ48mX379jF06FAaNmzIxo0bef/9\n",
       "9xkxYgRxcXH/eq5Fixb91/ds2bKFwoULU6BAAQCaNWvGvHnzKFas2FVdj6zGfz5gWir4LpcrsAO7\n",
       "Hvz9t7B8ql7dkmaT0jXI586V6NkzHtM0Q2Y433tPp3Jlg9atbURGhoqsh8swjx2DP/8Ueq9poarQ\n",
       "v79GpUpeXn5ZkF3KloXYWIXERJOJE2VatBB9W79f4ptvbNSp4+Xhh70MHpyNRx4xadvWSUoKbNjg\n",
       "oUSJ29PGNgwDj8eDruthe0m5ckGvXho9e2r8+KPCJ5/YOHlSoWRJA1U12LdPpXlzjeHDPZimTnx8\n",
       "Cq+9Fk2dOjZGjUrkhRciqFfPwSuvaOzeLWTLTp6UyJnT4OBBGVkWpBpJggkTfOTLZ3LvvSaybPDI\n",
       "IxGUL+/j8GEbDRoY7NuncOGCRN68LpxOocFarpzON9+o5Mlj0qmTxvvv21m4UOHnnxU+/thHnz52\n",
       "/v5bxuEw6dLFTvXqHgoWNBkzRiV3bjNDFrUkCcNxS0f2ueec1K+v0auXj2zZhAiBpZk7cqSDLl10\n",
       "smWLDukBLlsmRNsBsmUT3+vPP4XQhNcrLKj69bMTFWWSnCzmOh94QJCa7HZYt04JER8wDCH1OHeu\n",
       "yuTJCnY77NkjB2TxTpwwOXZMZuJEb5abtWeGzOYhrbKidY9amWm43t6thsVpsKQTb/R6ZdVcqFW6\n",
       "teY9ZVm+IqjyAE2aNKFJkyY3/N3T4sSJEzz44IOB/86bNy+bN2/O8uNcLf7zATP6Sl3J5/MFZPKu\n",
       "B7NnixKpxTwPDnSGYXDwoJu//85GrVp2XK709PQqVUyWL/dRqpSdqVNlnnvOCBknCA6+P/2kUL9+\n",
       "eD1OK8OoUgWiolz4/TJr18LAgTL16ztYscJOv37nSUzUGTw4Cp8PBg9O5tChKIYNs+PzQbFiBitX\n",
       "erlOx54bQvCc4NUNiUPr1jotW+osXy4zYYLKiROihDhlisqyZZG8+KKOywX58okecvnyOZAk4Rox\n",
       "aJDCG2+4ad5c5+RJG127RvDTT14ee8xg0iSV99+3MWCAis0mceYMnD8vypSbNomS7QcfOHjwQZNs\n",
       "2QTBJjlZnOv48cJXsls3Gx6PFJjjtNnE2En27OBwCPk8qzS7bJmHgQNtLFniSZddBuPzz2289prG\n",
       "O+9otG2rMWCASvnyLjp0MOnSxYbdLnPwoMSGDQrff+8LyTri4+20betC1+HBBw1OnJCZOPEyTZtm\n",
       "x2YzadPGy8qVCjVq+Jk924bNJrRRly71kDOnGKnZulWmUiXRp508WWHoUBt2OzRtqmG3K+zbJ3rH\n",
       "FlElOVmnePF7qVxZyfR73WwED/NbGZRVfrUChzWuEUyiyaqh/6uB1RYKNgrIalxPFmqdm9ULBfGs\n",
       "mTt3LidOnMiQPZuReXT//v2pV6/eVZ3rnYT/fMBUFCWgjHEjVPVZs0Q51oJFIrJKiosWxfDcc0bY\n",
       "YGlh506ZGjVMihUzqVLFzowZfkqWTJ+tzpghM2BAaDnWKuF4PB5cLhfLl7t48EExg7lokZvRo21U\n",
       "qRJNTIzJ1Kmx5Mjh5ptvonjsMT8ffhjBrFlOJAneecdNz56+K7vRW7vTDnbwuFaGoqLA008bPP20\n",
       "74pTiMzq1RKDBtkZOVIo/DRtqvPkkxo+n8mIETYSEyXsdolly1z8/rvGmjU2Jk26QFycjqIovPaa\n",
       "woYNUSxbpjJsWBIrVyocPWpn4EA/rVoJkYNmzRxERJjcf7/BqFE29u/3kDOnSfnyTs6fh2PHZAYN\n",
       "8jFjhsLKlQrVqumYJmzdKkS4IyOFbOHJkxI1ajh55RWNYsUyXof794sxkJ073ZimSWSkn169Emjb\n",
       "1sWnn0ZStqxMjx5+Vq9W6NjRH2ITpetQu7YTr1d4XSYny9SqpXPkSCR+P5QqZfDYYxpTpzq4eFGs\n",
       "tQIFdObNS+Kee2RMU2H7doWHHjLZvl3m/fft5MplMmSIsB3buVNI5eXKFaqMc+hQDEWLGldlWXWz\n",
       "YTHgJUkKKQ1bM5ZWRhVMbrHEQ4IzsKx+kGcku3erkFEWqmlaoKcJsHfvXmbMmEHZsmVZtGgRuXPn\n",
       "ZsqUKRlej+XLl9/QeeXJk4d//vkn8N///PMPefPmvaG/eSP4zwdMCzdyAxw+LMpZaUukVi8pOjqa\n",
       "+fOd9OyZucSZ5Rzy2msG5cqZPP20jcGDNZ56KvU9hw5JnD6dWvqF1Fk2WZYDpd5RoxTy5zcoXdqk\n",
       "TBmT777zs2WLwvPPezh/3mTy5GgMAwoXlvjlFwc2GyxZkkzp0n78fiFeDqF9r5u1006rPnMjZBAQ\n",
       "WVzZsgZly8Lbb7sZMkRl0CAb778vU6KEQc2aBq+8orFtm8zs2Qrnz8ts2aLw9tt+CheOICJCvyLl\n",
       "pvHMM0ls2RJF+/ZRxMSYdOrkZf160Z/r2dNGhQo6w4bZSElRyJ7d5PRpQcCaPdtLjRpOZNnk3Xft\n",
       "SBI0bKgxb57KH3+4mTpVpXdvUYJv3VpjxAgb589LLF8u06qVRMGC4VnWH35op1s3P7GxBikp7kDv\n",
       "rXhxhalTfWzeLPPBBza2bZPp188gJYWAqEHDhg6OHBGs2Bo1dNatUxg/3scjjzix2wXZqU6dKGRZ\n",
       "HOuee0x+/TUJp1PH7RaBY+HCaLxelY4d7Qwa5KVePTOQNW7cqPDYY/oV4ftUZRzx+u112YDUfnhm\n",
       "FmHhsq/g8qXX6w3ca8FB9EbujawuwWYFrNK0pVkbHR2NJEnkzJkTu93O8OHDOXz4MDly5ODcuXNU\n",
       "rVqVTp06XffxMkpWypcvz+HDh/nrr7/InTs306dPZ+rUqdd9nBvFf34OM3iuKzExkWwZqWBngk8+\n",
       "Ua6wDvXATtFyM4iIiOCvvySqVxeuIBmJhaSkwEMP2dmzR5gfg1DnadrURs2abr78EiIiFD75RCEx\n",
       "Eb78Ug8QlixNSWuXvGuXScOGDiIjYfRoHxUrGqxZY9Kpk4MNGy6TkOCiaNEIevQQbiFHj0qsX+8m\n",
       "uI+ett9jzWUFB9CscElIm1XerJ21aQrS1ahRQs/24kWhapMzp0nOnCbnz0ucOyfKo0JgQPTmZFn8\n",
       "2+USt4LHI8hAlvmvaYq+sWkSGOeJijK57z7x/j//lKlWTadJE6G5evky1KmjM22aj/HjFTp1slOr\n",
       "ls727QqXLonPu1yCjdqli0alSqmBZvZshf79baxenYiuuwPSdml/gxYthFPM6dMSGzcqNG6scfq0\n",
       "xPz5CqYJ994rSE09e/oBk7597bz8ssbkySqKIsyNnU5YuNAbEug2bZJ49lknlSr5GTs2AafTH1K+\n",
       "fPnlCGrVctO0qS/E4LlxYwctWmg0apS5HOTNQnD2Zo1J3Ojfs54Z1v0BpJuH/Ld7I3ijaMkB3imw\n",
       "grjFwLWqXLNnz2bEiBGMHTuWokWLcvjwYTZu3MixY8fo3bv3NR1jzpw5dO7cmfPnzxMbG0tcXByL\n",
       "Fy8OMY8GWLx4MW+//Ta6rvPqq6/eCvNoyGAO8z8fMIO1FuPj48OKDWQGw4BChYQDQ+vWXhyO5MDc\n",
       "kvVA++ILhWPHJIYNyzjDnDlTZuJEhQULQvuoly/Dyy/DmTMqEydqPPecnWnT/JQo4Q0saCsjs4Kc\n",
       "NRKxerUo3Xk8btq1i6RiRejc2aRGDQd//ilYcW63MFK+mgwg3PB42ofE1RImwmma3sqdtWnCxYtC\n",
       "9zQ5WQqY/m7fLrNli8SpUyZOp3CU2b9foVgxkzp1dNxuUVE4dEi4m4wYkUhMjB+QWb/ezqBBkdx7\n",
       "L8THi+BqMexjY02eekrMOB44IPP110L8oEIFBwcPynTqpJGUBBMmiId57do6f/whkyePSffufkqW\n",
       "NKhSxcn33ydQvrw3wwf/xo0ybdrY2bXLg8sl7NTat7ezZo34XRwOMbMqyxKtWvn59luhR2yJ3yuK\n",
       "IPhY9l6W7duwYSqDB9tIToaDB93kzBlatvP5/JQunZN58y7w0EMEynuSpJA/fwRbt3oCXqW3EsHZ\n",
       "280cF8ns3ggnrBAcxG/mRvFaEXxfBmvn+nw+evXqRXx8PCNGjCDqdhAcbi3uBsxwsBa5aZpcunSJ\n",
       "7NmzX9NNtXKlRMeOKoULa2zerFKpkkHr1ia1aiXgcqk4HE7KlLHx3XcaVapkfDlffFGlfn2DVq3S\n",
       "B674+AR++CGGfv3sRESY7Np1CcPQAlllMJPt3DmJsmUjeOopnaJFNTp0uMyFC3aqVs3Ovn1ufvlF\n",
       "pnVrB7GxIMtCXLtZs+vb+QcTBax/X436ipVVmqaJy+W6ox4WltB2MOlizhyF8eNV5s/3Bt6r61C4\n",
       "sIsVK4RYu+hXa1SsGM3XX8dTrpwfRVHYu9fG008LuqhhQPbsJufOievhcsEjjxjs2SNjs5k884zB\n",
       "b79J/PmnjGFAkyYaTz9t8PnnNk6dgiee8DJmTAouV3hvSE2DqlWddO3q58UXxW86bJhCjx5CAzYu\n",
       "TufAAYXkZOEus2uXjCRBzZqCKezzSdjtJt26aWzZIvPjjz7cbujUyc6BAzIffCDYs1u2eALHtH7L\n",
       "P/+UeOGFHPz+ewqGkbom9u+XaNs2O7/9Fh9S2r/ZCLYuux3ZW1rxc6sHaG0q/X6xPm60/ZCVyCiI\n",
       "Hz9+nNdff53mzZvTrl27284ivkW4q/STGa5n0ZqmyejREu3bJzJ9ehJHjvho1sxkzBiFMmWyM3iw\n",
       "g19/FazKypUzDpYXL8Lq1TLPP5/xKMHrr3upVk04XDRrFsPly9lQVTUkQ5YkibFjbTz7rMbSpTKN\n",
       "GycSERHB+PHRNG2q8c8/Em3bOoiIECXGfv2uP1iK8wodmrY0QNOqr1hzrpqmBYS1FUW5o+beLHax\n",
       "rusBIQBrTdSurbNlixzQqgWRidWvrzFvnhLoezmdDpo1M1i4MCbwNx55RKd6dR8DBsTzwQdJREaK\n",
       "kRBJEvZmmzfLlC2rk5AgWLh2uyj5xsaazJih8vnnKmXL+sibV2f/fjvPPpuNZcsUwu1zv/1WJXt2\n",
       "k8aNBbHok09UevQQ/dNq1QwMQ4jDu1ywf79MZCRERsKlSzJeryhRr1vnZds2mdq1dc6cgWeeEXOo\n",
       "K1Z4OHxYpnr11PVi/cayLLNzZzSVKxsoSqgiz65dMVSpYoSsiYSEhJA1kdW6sBaxx+/3B0THbzUy\n",
       "MhywFHkg1YD+34QVbgUsNSGAqKgoFEXBNE1WrFjBSy+9xBdffEH79u3/K8EyQ/y3vz3XZvEVDF3X\n",
       "+eOPZFatUmjdWr1yU0i0aGGwdKmfWbMSOXRIplEjG/nymVyxHgyLGTNk6tQxyMyD9fx5L2vXKqxe\n",
       "7aV6dYnKle306aNw+XLq7JjbDWPGqNx3n4fHH9coWDCClBSV8eOFkk/16k5MU5BiPv/cT5s2WdtT\n",
       "sgJHOFcS6+Hg9XoDN93tcqEIRrDKi0U4SvtQiI6GypWFEEEwGjTQmTs39LUXX9SZNUvFMFIDR7t2\n",
       "8NNP0bz3nslvv8Wzfv0lcuQQKj6xsSa//Sb+xrp1CnXqaNjtQoYuLk7n4EGZadMc9O3rZ9s2Lx07\n",
       "CuH46tUdzJmjBDxE9+2TGDLExogRPs6fF33MwYNtmCYUKWJw5owoN7tc4pg2G7z5pp9s2Uz27RPz\n",
       "oFu2eMid2+TXXxUKFDB44gknTz5pMGGCj4gIWLtWoVo1I5CJuN3ugHzahg1KWDGDjRsVqlQxw66J\n",
       "tIo8lobrjawJTdMCQfxO2pABgbliS9ovnKxd8GbiVt0flppQsPqSruv079+fcePGsWTJEipUqHDT\n",
       "z+P/Av7zATMYVxMwg+2+xo+PpFkzg5w50/eSSpQwGTQoGbtd7OJLlrQzcaIotaXFjz8qtG6dPnhZ\n",
       "x9I0jfnznVSrZpI/v8x77/lYvz6Ff/6BUqUi6dPHzuHDJmPHGsTF+Vi+PILXXhOB9NtvVSIjTQYN\n",
       "suH3Q/bssGyZhxdeuPkEDCuQW+Upp9NJVFQUDocjRMbtauTLbgasrNLv96fLKtOiXj2Nn38OffhW\n",
       "q2bw998yx46lfqZwYZO8eQ1Wr069terU0Tl6VOLwYWG3VKqUk9Gj/eTPb5A7t4HHA/ffr+P3w9df\n",
       "24iL8xMTY7Bjh0K+fDrZspk0buziyScdV7JdD927a3zzjUqZMk4GDVJp3txBz54+pk5VKFHCxYIF\n",
       "Ipg6ncIx548/ZFQVIiNNvF6JL7/08f33KsePS+TLZ3LggIe8eU127JCJjjZp08ZJjx5+evYURtx+\n",
       "P1fkBP0BXdOoqKhAH3X9epnKldOvqY0bZSpXTv1NM3LlsMS8vV4vCQkJgcrE1VpPWespJSUloLV6\n",
       "p5Q6NU0jMTExYIptBfHMZO2s3mvazURW3h/W88Xr9YZk4ufOnaNJkyZER0cze/ZscuTIkWXH/L+O\n",
       "/3wP05qVBIiPjw8s2HCwsiQRBCIoXtzFqlV+ChdOf5k8Hg9jxqhs2OBk6lSNrVslunVT0XUYOlSj\n",
       "XDnxmT17JBo0sHHokI/gzbB1LCvoPPVULL16GTz1lD8wkylJEkePwrBhMrNm2YiPl3n0UZ1Dh2T6\n",
       "9PGzc6fM2LEqTidX3EZMDh3y3DJBAjGaIVgvGfUqM+qD3szB8eD+VmYjBsE4exbKlHFx5IibIC9v\n",
       "Ona0U6SIQefOqYSuYcNU9u6VGTUq1frqk09sV9jN/ivnANWrO3jnHQ1dN+ne3c7Zs6nnIMsQFWWQ\n",
       "kCBTqZJGXJzOqFEOdB0KFTJ44gmDBx4Q85DLlikB8fjgz/fp4+PJJw0aNnRw9qxERIRYA48+KgL6\n",
       "5csSDRroTJqUKsPXpo2dBQsUZszwUqtWKEO2c2cbK1acTzdUf+oUVKjg4tgxd4jd2/HjElWqOPnr\n",
       "L/c1CRYEk4nSslDTyrlB6jqTJCmEnXu7EbzOrtd82jTNECJRVt0fwfOowX3UzZs30717dwYNGkTN\n",
       "mjWv+Xz/P8Jd0k84WIsaICEhIezCDh7fiIiIwG63M3SoyqZNEtOmhWe+ut1eHnssgq+/NqhZ01L8\n",
       "gcmTZXr1UmnQwKBvX43evVXuvdekVy89cCwNjnPvAAAgAElEQVRr12cda8MGL23bRrFnj/tK/ytV\n",
       "99EKSLNmRTN6tB2/X7hqXLwoceSIxAMPCFPnfftkli/3Urbszc/gricgBX82s4fljc6DXk0QzwhP\n",
       "P+2gc2eNunVTM6nly2UGDLDxyy+phKBTp6B8eReHD7sDM5DHj0s89piTAwfcAdHyZctkevQQJBpJ\n",
       "MlmwwOC11yJxu8V3q1BBZ8cOGZ9P9BcfeEAnMVEOaMCC6IVat3BkpFAakiS47z6Te+8VDjq6LkhK\n",
       "Npt4r8NhkpIiUa6cwerVqec9YoRKjx7CJeX111O/o2EYDBggxm6++spIF5BmzlSYOVNhxozQqD1t\n",
       "msL8+QpTpqT3zLxWBK+JYBaqJElomobD4bjlTOvMEExsC1fmv16kvT/SjntdjbBCuHlUwzAYOXIk\n",
       "S5cuZeLEieTOnTtLzvf/MO6Sfv4N4UqyPp+Py5cvAxAbG4vD4SAlRWLIEIWePTMuay5frmKzESJm\n",
       "IMvQqpXBjh0+NA1Kl7YzebIcEN62DKsNwwgcC2DcOCctWybj9aaauwrJMdF3czoj+eorB506aRw/\n",
       "LpwxSpYUbhING+r8/rvMe+/5b0mwTFvmvNaHWHAf1DKXDnahsMpU12omHNyrtNls19Xfql8/fc+y\n",
       "Rg2Dw4eFaLmFBx6AChWMkBJu3rwm1avrTJuWWr148kmDbNlMxo+XWbLEz++/i/KtNQO6ebOCpknE\n",
       "xIhAd+aMQs6cJi6XGZjnlWUxElKypE6ZMgbFipls3+4mLs7g+HHxHl0Xs6HFi4vfP0cOIezQvbvY\n",
       "jBiGEGEYMULFbiekPWARddavt1Orlhz2wb9+vUzVqunX1vr1coYi7dcKWZYDZVwhwh995buJwOnz\n",
       "+UIIZrezP562j5qVGW+4+yM6OjrgVhNc0na73SElbatsbfWerXszISGBtm3bcu7cuYB6z12Ex38+\n",
       "w4RUE+mkpKSAlY1hGAHWZLAoAMCAAQp79khMmZLxXGWtWiovvZTMyy+nt2+y8N57ChMmKFSqZDBw\n",
       "YCK5c6dmldZO8swZk7JlI9ixI4UcOfQQzVtrhGPGDCeTJzu55x6TFSsUxo3zsX27zPbtEqtXK9Ss\n",
       "qTNzpo+bWakKHsm41qzyWhGsvGLttDObB7UCLVx7VhmM48clKlVycuSIO0SAokMHO0WLGnTpkroe\n",
       "ZsxQmDQpdBRl9WqZrl3tLF7s4ddfFVavVlixQubECYlHH9WIixPydAA9e9qpWlVn0SIlMCNpCSXI\n",
       "MtjtQjkoIsJk0SIVwzBJSJAoWtTPgQM2smUzOHtW+JxaIvI2G3zwgZ8WLXQqVnTy559uDANef93O\n",
       "6dMSLVpoLFigMmuWN2TEQJZdFCwYze+/uwk3ply+vJPRo33pNmRlyzoZN85LmTJZ+xjRNA232x0y\n",
       "W/lvQhs3S9IuGFlRgs2q8wgnrGDZdem6Htg07tu3j06dOtGjRw+ef/75OyZDvwMQ9kLclcYLglWa\n",
       "sHZhFkkleBGdOAFDhyps2JBxmenXX4V8Xf36HiB8wNR1oTwzY0YK69YZ1K4dQ8eOOu++q4c4pY8b\n",
       "Z6dBA5177gGPR3hYWjqrIhBoDBzo5KOPEujaNZZffrmIqqq0axeNpknkz28wefLNDZYWQcEiNdzs\n",
       "HpIsp9pZQXrh6OA+D4gsKStKdnnzmhQsaLBmjRzS32vcWOPjj20hAbNePZ1337Vz8qRE7twm//wj\n",
       "sWOHzF9/SRQv7qJmTZ3KlT20bOnl889jqF3b5K23grWIfXz9tY39+918+aWN2bNVEhNTA6fHA1On\n",
       "qsiyCKCaJmGzwa5dgrhx+rT47oYhWLFvvOGmUyc/sbEK331n59lndS5dgubNHeTLZ/Lzz166dLHz\n",
       "1FN6SECKiopi3TqF//3PCBssz50TdmePPBIaLM+ehdOnJUqVyrpgmdlsZbCknfX6v0naZTQnfD0I\n",
       "LsHeinsgM6TVhbX4EFY7Y8mSJXTo0IFChQpx4cIFPvjgA8qWLXvbzvf/Eu5mmIiyq2maJCUlBQaK\n",
       "w5XsTBOaNlVZtUrm/vtN6tY1eOEFg/LlU/U0TRNq1rTx+us+nn02gVjL4ygNZs+GwYNlFiy4SFRU\n",
       "JKdO2XjvPZUdOyQ+/tjHiy/qeDzi4Tp/fhIFCogFn5b9N2KEytKlCgULGjgcJp98ksILL0SwebNK\n",
       "dLTJ2rWXyJlTSUeUyApkNOh/u2ERJTweT0hZLiPSyLXgq6+ElOCwYamKTJomRAxWrvRQqFDq8dq3\n",
       "t+PxwNmzEvv2ydSrpxMRYXDokMSPP17AZhOs2YMHZerUcbJ9u1DQsdC9u43t22XmzfMSEQE7d0pM\n",
       "n64yY4bCuXPSlUxTSNk5HCKY+v0im8yXT8jz3XefyY8/ujGM1J5w3bo5ePFFL8OHR9KmjY8ePXRA\n",
       "olAhJ4sWJZAnT6jKS79+Nrxe+PTT9G4+c+cqTJyoMmeON+T1OXMUfvxRZfZsb7rPXA+yoieYmZjA\n",
       "jawLS2j+dihWZYbg+zP493S73XTv3h1N0/jf//7Htm3b2LBhA3ny5GH79u1Zeg4HDx6kWbNmgf8+\n",
       "cuQIn376KZ07d87S49wE3CX9ZARr9+nxeFBVNSA0nBZTpsh8+aXC+vV+DhyQmD9f5qefhHfiyy8b\n",
       "tGmjs2KFzODBCmvXekhJSa9NK0pdXqpVi6BnTy8NG4pdoJVVrl2r0LOnHV2XiIvTOH3aZOLEy2Gl\n",
       "0OLjoXRpF+PGeWnd2sH27W5mzVLp3t1Gzpwmu3al4HKlPigtzztr93kjATQ4q7zTmInhJPfSEomC\n",
       "r8W1lOv++kvi8cdFOTP453j3XRv33Wfy/vsaFy/C6NEqw4fb8Hhg5Egfzz2nY7ebXL7sIS4uG/Pn\n",
       "p/DII6kbsq5dxczkV1+lBiXDEOXekyclZszwhpiKnzol8eOPMoMG2SlQQLilFCpk8uyzOjVrilGV\n",
       "kiVFEA9mcf/5J1Su7MJuNxk8OJlnnknBMAz27nXQoUMM69dfSCfVVru2gx49/CFZdfB5581r8s47\n",
       "2lW9fj2wevZZHZCsvl5m6yIzuceMAtKdgIw2GEeOHOGNN96gXbt2tG7dOkSq7+zZs9x333039Zzy\n",
       "5MnDli1bQjwu71DcDZjhYJom58+fD5TwLPeHtNi9W6JuXRsLF/opXdoM+jxs2CDx/fcKixbJaBqM\n",
       "Hu2nYUM9nTatRYhZuNDGkCHRbN6sAamydlZ5yDBMZs0yadcukly5DN56S+OFFwzy5g39OT780Baw\n",
       "YXK5TPx+ifHjFXLmhD173KRNbtM+HK5HC/ZOzSrh2oTcw10Lq1z3b9fi8ccd9O7tp3bt1ACyYYNM\n",
       "x452GjXSGT1apW5dnc6dhQ3Yt9/6ePRRX6DM+c03Mfz9t8yIEall/QsXxGjGzJleypVL/buaJnqM\n",
       "R49KTJ/uDQjzX74srLpatdJCSsEWvvpKZdcumYkTU49x5gzUrevg7FmZX38VgdQqcw4cqBIfr9C3\n",
       "b1LItXC7FYoWjeXo0RQiI9P/zhUqOBk50hdyzgCPPurku+98lC9//aQfi6Ti9/uv2e7tRo55NWMc\n",
       "FnMeyFIWbFYg2FotWDh94cKFDBkyhNGjR1OqVKlbfl7Lli2jb9++rFu37pYf+zpwt4cZDpIkEXNF\n",
       "Ysdi16XFn39Co0Y2vvpKCwmW4vPC/LlKFY22bVX27pV46y0bS5fKvPmmTPbsoV6VNpuLgQOjGTBA\n",
       "wzD0wCByarAUD/2TJx3UqKHx4Yc6Y8eqDB5sJ08ek3LlDIoUMXC74fvvVerU0fj5ZzFrqaom0dGw\n",
       "caMnXbC0jmGz2f6195fW0suC1du6Vb3Kq8X12INldC0sI2HLIzXcvFujRjqzZ6vUrm1JnMHu3TJ/\n",
       "/CGxe7fE2rUeChQQ66RNGz9jxkiULJkS6Lu1a6dRurSLjz4SjFqAnDmhf38fHTvaWbvWEyAVqSp8\n",
       "/72Pfv1s1KzpZOxYH2XKGDRr5qBmTT1k/tOC2y1MqufPF5qvug5Tpih89JEdXYcff/QGgqVF7Fm1\n",
       "KobevQWzOfharFkjUbq0D11PJDk5NPM6f17ixAmJUqVERutwiPvh/Hn45x+JMmWuP1je6r64hXDr\n",
       "ItgfM7jMb7FV75QNY0akI7/fT9++fTl+/DhLly4NPO9uNaZNm0aLFi1uy7GzCv/5DBMIKGhYi82i\n",
       "rAOsWyfRurWNnj01Xn014wfA3Lky3burbNvmQ9eF6PWIEcLfsnPnePLkETvRceNs/PSTzIIFHiBV\n",
       "gCB4sfv9dipWzMaMGanMQ02Dbdtkdu6UOXxYYu5chQcfNK+QizQOH5ZZtUph3ToPJUpc38+W9uEQ\n",
       "7LpuESish/6d8pAIziqzwrrJQlrWZfA86OnTNh5/PIY//3Sza5dC5852smc3eeghg2zZoH9/UVbV\n",
       "dZ1//vFQqVJO9u5NIWfO1Id+t242VBUGDvQHHROef95B9eo63bqlD4Tz5im8/bad6GiTIkUMpk8P\n",
       "T+YaMUL02adM8bFwocKAATZcLpM33tD46CNhcm0YqVlIYqKTMmUiOHrUjSMNR617dxu5cpl06yY2\n",
       "VGfOGKxYobBxo4316+0cP64EmLuGITw0c+UyyZkTFi269v5l8ObnZrOtrxVWdcWaLw7eWFyva09W\n",
       "nls44fTTp0/Trl076tevz1tvvXXbNrk+n488efKwf/9+7rnnnttyDteIu3OYGcG6IcPNYb73nkqu\n",
       "XMLu6OjR8J/ftUuiUyeVqVP9xMQI+bnevTXWrj2L0+mlZs0c9O+fjT/+kPnkE5UBA7wEB8vg2cXI\n",
       "yEhGjoymalUjhKavqvDYYwZvvKERF2dw//3w0ksa99xjEh8vs3Klws8/X3+wtL5/Wi1Yp9MZIu5u\n",
       "9XtvlnD2tcCaEbTYnFlZsguWcIuIiCAmJiYwD5o7t85DD2m0aKHQtKmNTp1SmDcvibfe8jN9uoKm\n",
       "pc58PvCASu3aBjNnhgqAv/uuxqRJKmfOBB8Thg3zMWyYjR070t+v9evr1K2rkZIC69crdOhgZ84c\n",
       "hVOnpIA/599/w8CBNqKjoWRJJ0OGqLz/vp+VK73s3SvTuLGG1+sOkZBbsUKlRg09XbAE+OUXoRE7\n",
       "bZqNBg2iqVgxO0uXRlKmjEKJEiZdu7o5duwcf/99mqNHz7J4cTx58+rUqHHtayOtVNudlL0Fj5lZ\n",
       "94U1E2ppwsqyfFs0YS3hdEmSQoTT16xZQ9OmTfn000/p0qXLba0ILV68mHLlyv1fCZYZ4m6GCSG9\n",
       "rOTk5BBma0ICrFkjs2iRzM8/yzz0kEmrVjpNmwqx9B07hLTd119rNGwoApzP5yMlRZApoqOjOXvW\n",
       "Rv/+Cj/+qFCunM6sWV5iY6Wws4v//CNTtaqTdes85MuX/vKfOCFRubKTUaO8tG/v4JFHdFatUvjp\n",
       "Jy916mStzqTVPwou72RGnskqU+l/gzX6k1WGwNeDb75R+eEHhYULk4mNTc3I69bNxfvvJ1KjRioR\n",
       "ZNUqmW7d7Gzd6gmRiHv3XRtOZ2pGamHGDIXPPrOxfn2ojOEXX6jMnKmybJkHv1+MlaxapfDbbzKX\n",
       "LomA63BwRVhdo25djbi4VJWp4sWdTJx4iZIljRCiVuvWwsQ6rRj/vn0S1as7iYqCuDiDNm2EypEV\n",
       "WOPinEyY4KV0aTMk26pcOZohQy5TpoyWrryf0doI13e7U3CtpKOMZkKvh2T2b/D5fOkMqHVdZ8iQ\n",
       "IWzevJkJEybcEUGqWbNmPPPMM7Rp0+Z2n8rV4i7pJyMEN/kTE9MzW1PfBytWyEycKLNqlRCV3rBB\n",
       "ZuRIjeefNwID8taspNvtDlj6TJok8/nnduLiDNasUWjf3kurVglkz56qf2ma0KSJnfLlDd5/P31J\n",
       "zjCgfn0HlSrprF6tcPSokCtbuNCbZYoq1vWwCCrWzjkjZAWR6FpgPbxu94P1zBkoW9bFoUNuIiNT\n",
       "+0fDh8vs3OlgxIjEoLEFlWrVsjN4sJcaNczAOZ84IVGxohgnscg8Ft54w47XC+PGCZ3XCRMUBg2y\n",
       "sXKlN6wRs2GI3mX58k4mTPBRsWLqejBNk1WrDLp1c7JxY3IIUcvvhwIFXPz2m5v77xfvv3wZhg61\n",
       "MXy4qK7MmeOlSJHQY548KaT+/vorVD/Wui5//52CJP170ADuWKZpVpKOwoltBPMFrlUTNqMS7MWL\n",
       "F3nzzTcpV64cvXr1uiPcWpKTk8mfPz9Hjx4NaXfd4bhbks0ImZVkg6Gq8PTTBlOnamzb5qNgQRPT\n",
       "hGnTZLZsEbJ2kiQRGxsb4lS+davJhx86mDLFy8SJXubNi+f3300eeywXH3+cjSNHxKKeOVPhyBGZ\n",
       "t98OT8X/8ksVnw/27pXYtEnG45HYutWdZcHSuglTUgRB5WrYfxZJwhJ5SGtZlJiYGCLTdb1uCxYr\n",
       "0ePxBCylbmcWct99Qv5u4UIlsFHy+Xy0bKmwYoUDw0h1n7DZVF591c1338kkJiYGZP3uu89Ps2Ya\n",
       "AwemDxJffeXjjz8kPv9cZf58hb597cybFz5Ygugh/vSTQsGCZkiwtM5t+nSV5s2NdD3B9etlChcW\n",
       "JX6vV2TOpUu7OH1aokYNnW7d/OmCJcCqVcIbM+3yWLtWoUoVHVUNLWlbEm5pXUkSEhICFZY74eFu\n",
       "wSrBGoaRJeV+S2gj+D6xNspWZctaG//W7gjnXQmwfft2GjVqRMeOHfnoo4/umOsZGRnJ+fPn/y8F\n",
       "ywxxN8OEwK7PNE0uXbpE9uzZr/phHB+vM3q0wfDhLuLiTHr1Er1HwzDwer3s26fz4ovZGTAgkWef\n",
       "FUo9lgDB8eMKY8ao/PCDSt68QpN05EgvDRsa6dwdFiyQeeMNB/fea3DwoMyTT+r89JOPrKpGWplb\n",
       "OHGEG0FmRKKrKdUFn9vtzirTYto0henTZSZOvBBybs2bC8Wcl19OLXEmJUGxYi7Wrk0hT57Ua3H2\n",
       "rMHjj9/L4sUJFCkihWTkp05BpUpOPB6JxYs9gfJqOPj9UKaMkzFjfAE7Leu6GYadUqWys2GDhwcf\n",
       "TNujFzO7RYua9Oplo2hRk08/9VGkiMlDD7lYs8ZD/vzpj9uunZ1HHzVo1y50c/fWWzaKFDHp1Cnz\n",
       "+Uu/3x8owVpybdezNm4GwomT3wpk1O4Izsot84C0wunjxo1jzpw5/PDDD/8XZhz/L+BuSTYjBOst\n",
       "Xrx48aoCptV/tCT0wMn48QpffqnwyCMGH3zgw++XaNXKQZ8+Xho1SgyUYdLeCCkpCtWrRxAba3L+\n",
       "vMSlSxKFCxvkyCEyhyNHJP78U0isXb4sMXq0lwYNsjar1DTtlpTEwvV3TNMMq7YSfG63ag7vaiHm\n",
       "dz088kh2tm9P5oEHUnfzS5YIB5NgJxAQjFO7Hfr184f8nS++EH3IcePiQ0Z7tm+307RpFJJkMnCg\n",
       "n5YtMxb7nzhRYeZMlQULvOlKiQsWOBg1SmXx4tDzMU14+GEn991nomkSAwf6qFlTrKsdOyReftnB\n",
       "zp2eMN8dChd2smyZN0TZCATRaMYML8WLh390ZFbm/Dc92JvdI78dc5//dj5pre9AbCh+++03smfP\n",
       "Tr58+ejatSv33nsvgwYNCpELvIsbwt2SbEYIvgGvxkRa07RAKckqrTid0L69n127UnjySZ0WLZw0\n",
       "auTkzTe9NGgQj6IoxMTEBAxzrWzE7fbRoYNCsWI+liy5zM6dCezenczgwX46dvTz3HMaly9LNG+u\n",
       "o2kSv/7qybJg6ff7SUxMRJIkoqOjb0n/KC37NK0biWXOnZiYSEJCQpaVxLISlhtFZKTJM88YzJ0b\n",
       "Si998kmDU6ck9uwJvefefFNj4kSVhITU1yRJ4q23DHbtUvntN7E2IiIi2LfPRosWkQwbdok5cy7Q\n",
       "p4/K0KGgaekZlz6fYMb27OkPlOtM0yQ6OhpVVZk6VaFFi9CM7+hRiUaN7Jw5I9GuncaGDZ5AsARY\n",
       "sUKhdu3wAfrAASHFV7Bg6HkcPSqRkiJRrFjmpcTgcwtGuLUR7MRhGY5nRYk/3LlZJdhw53Y7YGnC\n",
       "Wt9fURQiIiKuEMlW0axZMwoVKsSBAwfIkSMHa9euDZRqsxqXL1+mcePGFCtWjOLFi7Np06abcpw7\n",
       "HXcDZhpkFjCtPlpiYiIOh4Po6OhAOckqobhcEm+8obN7dwq9eycxdqyNhg1zsXRpFLqe2itVVRWb\n",
       "zckHH2TnwgU7Y8f6URT5ilB4EkWLXiZ7djeffWbj4YeFL+LSpTc2NmLB6mtZNj+3ux+Y1rrJCp7W\n",
       "QysxMZGkpCTcbneWu85fC6yHdnCPt2VLMR4SDEURFlkTJoS+XqCAyRNPCCGKYLhc8MUXfrp0sePz\n",
       "SRw8qNKkSTRff+2nQQMHcXFOFi1KZsoUO23a2Dh5MjHE3mziRCGOXrassHyzrJ8kSeLcOdFXfP55\n",
       "Efz+/lsIazz+uBOfD155RaNtW5207a5lyxSefDJ8wPz1V4UnnkjfNli1SqZGDT3d6xYhyjq3a1lv\n",
       "Vu8veITD6v1ZY0U3OsLh9/sDtm9XI3pxK2F9R1VVA65JNpuNYsWK8cADD7BixQo+/vhjkpKS6NOn\n",
       "D59//vlNOY8uXbpQt25dDhw4wO7duylWrNhNOc6djrslWUJNpOPj44mMjEy3w7RuKkuY3ZLHsm7Q\n",
       "YAGCYNUZRXGwYIHK8OFCtLtlS51GjTTy5TNp395OSorEtGlegvvhpmkyZYrMO+84URST557z0Ldv\n",
       "IrGxyg33du7UfiCEt22C8KWpm+U6kREy0s7VdShRwsn06d4QFahjxySqVHFy6JA7RAN2506Jxo0d\n",
       "7NvnCZl7tBjSBQoYzJmj0q+fn2bNQgOW2y3KuosXK/Tu7aFxYzcpKTqVKuVk7NhLxMVpOJ3OEIWm\n",
       "4cNVduyQeeUVjVGjVH75ReHVVzXeesvP88876N/fT/XqoRuQy5ehSBEXf/0Veu4WGjVy0LKlxgsv\n",
       "hJ5f69Z2atfWQ/w0r0Wu8HpwI2VcawNktSPuhKzSQvDIWXB52Ov18uGHH5KSksKIESOIsBzKbyLi\n",
       "4+OJi4vjyJEjN/1YdxDu9jAzQnDATEhISDd3aJV/IiMjQ7wq08raWQ15CO+7eOCAdMUjUbhN3Hef\n",
       "SYsWGvnzC0m7lBSRASxfLrNhg2AbDhzop3RpIzC+8W99v4xwJ8wuZoSMZj4ze/+NEomu5dyCLaXC\n",
       "aef262fj8mX48svQecpGjRw8/7yWbr6xfn0HL7yQ/vVVq2See85Bnz5+3nsvY9LMli0yPXrYOHlS\n",
       "olAhHbfbYObMRCIiRLXD79eIj1fYudNBly7RSBLExkK7dhovvaQRGyu8PStXFt6eaZfC7NnCaSSt\n",
       "AwkIW7ECBVwcOBDqjanr4vVNmzzkySMeG7drtjJtAA036mRVi9Juzu4EZCSc/s8///D666/TsmVL\n",
       "2rVrd8vOeefOnbRv357ixYuza9cuypUrx9ChQ29JsL6NuBswM0JwwLTKrXa7PVBGssqFmWWV12Ke\n",
       "bJpw+LDE1q0ye/bInDolkZQkERlp8sADJmXKGFSurJM/f8bnHI5RF25XHZzx3ulZ5b/NfGaEayES\n",
       "XQuCjaczG7GxHEwOHQqVllu2TKZPHzsbNoQKFqxdK9Ohg50dO1I1Yw8ckKhXz0GtWjq7dyusWuUJ\n",
       "q7wT/J1/+cVH06bZePBBg2PHZCIjwek0uXRJQlWhUCGNP/5Q+Omni5QqpWGzpa6PESPs7N6tMHp0\n",
       "el/X9u3tlClj0KFD+qD9yy8y/frZ+OWX0GC6bZvMG2/Y2bbNc8e5eGREnrFaAbeLjRsO4azCTNNk\n",
       "+fLl9O/fn5EjR95y78pt27ZRqVIlNmzYQIUKFXj77beJiYmhb9++t/Q8bjHuiq9nhLSkH0vAQNf1\n",
       "QE/NuuksibjUkty1i0RLEvzvfyb/+58OZMx8zAzWzW4hOGBYmaTlvgLcEQ+uYGTlQzUj82DrAWmR\n",
       "Q65WaeVa9UwLFDApUcJgwQIlpExZu7bBe+/Bpk0ylSqllj2rVTPIn99k8mSFtm11du2SaNTIwWef\n",
       "+WnaVKdZM4m+fW189ll6/0lIfaiuWRNDw4YaY8b48fmE3ZvbLZE9u6hYdOtm45lndKpUcYUITKSk\n",
       "pDBnjp2OHZPxePSQDZZhwNKlCj16hD/28uXhe5srVsjUrq2HbDLuFIF+izOgKAputxtJEmIh1jWx\n",
       "1setYuOGQ0bC6ZqmMWDAAA4ePMjSpUtD3I9uFfLmzUvevHmpUKECAI0bN2bgwIG3/DzuBNwNmEGw\n",
       "MhXLuirqii6ZlbFklFXeCTZXsiwHCBLWzefxeAJlYav8dDsFoi3cCieKtBuK4IBh6eGGux7BPbdw\n",
       "JuIZoW1bjXHj1JCAKcvw+usaI0eqVKoUmsl99JGfNm3sFCxo0rq1gyFDfDRsKD47fLiPypWdVKxo\n",
       "UL9+6t8LXnMJCRGMG+di3Tox9mG3g1BAE0UhjwdmzFBZu9YTWLPW9ThzBg4csPPkk55AOdzaYO3Y\n",
       "4SBXLgf58umE4wQuX66E2JJZWLFCoVs3D0lJSXecaDqkrjlFUUL8boM3WOE2nLfifrHKw6ZphtwP\n",
       "Z8+e5Y033uCJJ57gp59+um336/3338+DDz7IoUOH+N///seKFSsoUaLEbTmX2427JdkrcLvdJCUJ\n",
       "L0C73U5kZGRIrzKYVJIVZcSbhYxIFldDnLnZ3+NO2mSEux7WRkhV1cDverXn5/VC0aIulizxhCjj\n",
       "xMdDiRIuNm9O7e1ZqFbNwcGDMpMmeXnqqVDizfbtMg0bOpg/30Pp0magP25lR126OIiKggEDwmeC\n",
       "06crTJqk8vPP6fuQ33+vsnZtqFemdT0++cSG32/So0d8Oh/I4/+vvTMPi6pu//A9K6AILkFuvKLm\n",
       "gkuuuACKuy1a2WuL9cuyXJNMbXMrU7Os1Era3wyXSs0yc0vNigHBxJQM9w0NF1wTEBhmOef3x3TG\n",
       "GRgQlGFG+d7X1VUTzJxnDjPnOc/2eU5q6N7dj/R0Zzm8S5dkwsL8SEs7T82a3lcfV7IFZfnMFfd9\n",
       "cbXu7UZQHLnymVNeb9u2bUyaNIl33yKI1L4AACAASURBVH2XHj163NAxyoPdu3czfPhwTCYTjRs3\n",
       "Ji4uzklz+xZEpGSLQ5ZlcnJy7PUMx/Qr4BRVlqU5pSK51k5IJS2lXMwcxbKV5wFFFiiXl0Pz1H7D\n",
       "4nA8H8odvnKzJMsyubm5QOkbiXx84MknLXzxhZZ3373qxAID4fHHLcTGap1WeX31lYb0dDU6nU1i\n",
       "rzDt20vMn2/ikUd8WLfuCsHBefbIbf9+NWvWaElNzS/2/cXFaRk1ynXj0KpVGkaPdv6Zcj42bfLh\n",
       "gw9s88WF90D++KMfvXqpMZsL7NGXJEmsX2+la1cdQUH+XhVVOuqtliVbAK6/L47no6CgwF4nv540\n",
       "bmFH7hjpfvzxx2zZsoW1a9dSWxH49TBt2rRhx44dnjbD44gI819MJpPdISrNO0qaE7x7HKM8Wvcd\n",
       "LwiFVUVupPPUm6JKVyj1wMKSgNfTSKSMkhw4YBNkVzh50iZUnpaWT/Xq8PbbWhYv1rJqVQEffaSj\n",
       "ShWZd94pGilKksSHH8p89FEVfvopn0aNbJ/F++/3oV8/K2PHunaIhw6p6N/fl4MH8yks/HL2LLRr\n",
       "58fRo0VHRtLTVfTs6cvRo/lOc5k5OXD2rIqRI/X06mUiOtpEQICZoCALVavKjB9fg06dZEaPlrzm\n",
       "b+uYgnVXF2xpunFd3RgWJ5yelZVFTEwMTZs2ZdasWV4VqVdCRJdsSZhMJqe7x6ubJmx30bIse2VU\n",
       "qTQKlHb1UFle+0ZHWQqnET0dVTpyPdmCwgulXTUSPfywD/fea+Wpp5wbY0aOtM1YHj2q5tAhFd9+\n",
       "W0CdOnDuHHTs6MfPPzunch1v0BYv9uf993UsX15AZqaKyZP1pKRc7bAtzMsv6/Dzgxkzijrhzz/X\n",
       "sm2bmri4onXI2FgtaWlqHnzQwu+/a9ixQ82BAyqys1UEBclkZKho184mWHDhApw9q6ZWLYnLl9X8\n",
       "+utF6tc3e7xOXngMqCKl4kqTxlWcZWFHnpaWxrhx45g2bRoDBgzwmhuPSoxwmMUhSRKTJk0iPDyc\n",
       "iIgIqlevjiRJbNq0iS5dutgbacDzwtCONivdiK5mPt11zNKOslxrdtGTFCdCUFZcrTbbutWXV1+t\n",
       "xu+/56LVXnUYCQkqBg705Z57rCxcaMJxhG3BAi0//aRhwwbbYnFXeqarVmkYP16PRiPz2WemIjVP\n",
       "hbw8Wy01MdG1aHrfvj6MH2/h3nut/74HOHhQxfr1GubO1VFQAJ07S0RGSnTsaKVVK5m6dWXWr9fw\n",
       "ySda1qzJtc9W6vW+/Pijhhkz9OzebXRK8yvnQ+lgdkeavzDFRW6ewlXWRpZl1Go1p0+f5vz587Rv\n",
       "355Vq1bx1VdfsWjRIho1auRRmwV2RA2zJO655x7i4+P5/PPPuXTpEmazTZczLi7O3hHmGHEpKVzH\n",
       "5ckV4UAdnVFFdyOWZpRFmVVVqVRlrhu5m/JODyurzZToVJZl+vWzMnMmbNwI0dE5qNVqUlJ8GDUq\n",
       "gDvukOjUyUrhee9nn7Xw3XcaFi5U88gjWS7rvA8+aGXrVgtff63l0091NGliomHDog5x5UoN4eGS\n",
       "S2f5998qDh5U06uXld9/V7NunYZ16zTk50PPnlasVjhyJJ+aNYu+1/Xr1fTvb5MFdIzId+++Krvn\n",
       "WPfz8fEpUvdT6uQ3Oh/rCqURT6vV4u/vHbVU5WZBrVZjNBqdxlkOHz7M7NmzOXz4MAEBATz22GPs\n",
       "2bOHgIAAbrvtNrfYExoaSkBAABqNBp1OR0pKiluOcysjIkwHrFYrCxYsYPbs2Tz00EPUrVuX5ORk\n",
       "Ll++TJs2bYiMjCQqKorg4GD7Wh1XEVd5Xwwc7StJSciTKM6ooKDAbldFtuZfC8dzV5o9nzfCN98o\n",
       "HapG3n9fS2ysjgULcqhTx8zgwTXYseMygYFqp87kP/+0cN991UhIyCE0tOiM6PHjKrp39+XXX42s\n",
       "Xq3h/fd19OljZeRIC507S2g0tmixa1df3njDRJ8+zhFoRoaKKVN07N6tJitLRXCwzIABVu67z0Lb\n",
       "tjILF2pJSnKdqjWbJRo3rsKmTf/QrJmP07nr2NGXjz5yXlhdEsWtsCrNfKwrPJmCLQ1KJkilUjk1\n",
       "4h09epQxY8YwbNgwQkNDSUpKIikpiVOnTrFnzx632NKwYUN27txJTVd3RILCiJTstUhPT+fZZ59l\n",
       "wYIFNGnSxP7/zWYzO3fuxGAwkJiYyIULF2jZsiWRkZF069aNunXr2h1o4RpXeQxDezKqLA3FpYe9\n",
       "ZZSlLCIE5YHJBGFhvvznPzJqNSxaZCIkxFYTHjZMT9OmFsaPz3USwgD48MNAEhP1rFtX4NR0I8vw\n",
       "wAM+dO9u5YUXbI0+WVmwaJGWb77Rcvq0is6dJXx9ZRITNUycaMZotDXqHD2qZs8eFRaLioIC27zo\n",
       "mDGWIhHovff6MGqUxWnu0/ZeTPz6q5XXXw9k27YCp3N37JiKXr2KNgmVBVdp7dJ+RhznF73tBhJc\n",
       "79WUZZm1a9eyYMECPv/8c1q1auX0HCU74w4aNmzIH3/8Qa1atdzy+rcYwmGWF1arld27dxMfH09C\n",
       "QgJnzpyhWbNmdgfaoEGDYh2oYwq3NA7U26PKsjjyiq5xuVv4uyTeeUfL6tUaEhIKnLRaDx9W0aeP\n",
       "L7t25RMQYLZ36KrVagoKLDzySHU6dbIwdWqB/bwsX67lgw90JCa6bvQ5fVrFH3+omTlTx+23y7Rq\n",
       "JeHrC7ffLhMaant88SL83//5kJZmpLD/OXcO2rb148iRfHu62LEeOH16DWrXhpdfdu7Kff99LUeO\n",
       "qPnww6JR6fXi6jMCRXsHlDq0N3atFyecbjabmT59OufOneOzzz6jmuPGhQqgUaNGBAYGotFoGDVq\n",
       "FCNGjKjQ499kCIfpLiRJYs+ePRgMBhISEjhx4gR33HEHUVFRREZG0rhxY3ttz7HrVElZukpHlVWf\n",
       "tqIpj6Yjd42ywNW7+/LuHi4tV65Aq1Z+bNhgLLJMecIEHRaLhTffzC4ihJ+ZKRMV5cf77+fSo0c+\n",
       "Z87I9OkTxPLl2XTsqCo2rX3kiIrevX3Zvz+/SI0UbDJ5NWrA1KlFO2c/+0zL9u1qvvzS5vgcRzJ8\n",
       "fPxo1syP9esLnLp4AXr18mHSJHOxDUjlQeHxHqVxBvi38Uhf4TJ2JeGYgnVsKDtz5gwjRozgwQcf\n",
       "5Nlnn/VIaeLMmTPUqVOH8+fP07dvX2JjY+nWrVuF23GTIBxmRSFJEgcPHiQ+Ph6DwcCxY8do0KAB\n",
       "UVFRREVF0axZMycH6ng3rVwQlejL3fW2slJYIMHbRlkcIyNPb2WZN0/LX385K+pYLBZOnTLSvftt\n",
       "rF9vpFBGDrBpzz7yiA8//GDkzTd1tGxpZfLkXJejCspN1vjxemrWhOnTizrEggJo2tSP+Hijy0ah\n",
       "vn19mDjRzF13WYvUA7dtU/PcczZRdUfOnFERHm7bdlJRZUPHjIFer7c70pJuPCuS4oTTDQYDr7/+\n",
       "OgsWLKBLly4VbpcrZsyYgb+/Py+88IKnTfFWhMP0FJIkcezYMbsDPXToEHXr1rWncFu0aIFGo8Fo\n",
       "NJKamkqLFi3suqZKPcfTTTPK+6joFGdpR1nAc+ukiuPKFZss3saNRpo3l5zE5hcu9GPtWg3r1hXg\n",
       "ysw1azSMGqWjXj1ITjbanZKrqPzcOTXR0bexfXs2deoUTWt//72GL7/Usn59UZm8v/9WERXly6FD\n",
       "uVitRVdKvfCCjqAgmUmTnNOxH3+sZdcuNV98UX7p2JIo6W/rWCsvax20PChOON1qtTJv3jx27txJ\n",
       "XFyc27pfS4OiZFWtWjVyc3Pp168f06dPp1+/fh6zycsRDtNbkGWZEydOYDAYMBgM7Nu3D71eT2Zm\n",
       "JiEhIaxcuRJfX98Sm2Yq0oG6M6osK8WpqyiOxM/Pz6s6JefP15KSouaLLy4BVzt0LRbo1s2XmBgz\n",
       "jz9edPvH3r22hhpfX5l16wpo3dr1V1GWZaZN05KbC2++meO0QFn5jAwaVJUnnrDw8MNFj/P221pO\n",
       "n5aZNeufIn9biwWaNPFjyxYjjRs7H793bx9eesnMXXe5Lx2rvL+ybrUpbR20vPalKo1HjjcaFy9e\n",
       "ZMyYMXTu3JkpU6Z4vPcgPT2dQYMGAbabj8cff5zJkyd71CYvRzhMb6SgoICZM2fy2WefMWTIEIxG\n",
       "I3v27KF69er2MZZ27do5rRhzvJt29520JxtnSoNSq3Rc4u0toyyyLJOdbSY8vBqff55HdLTzRfrP\n",
       "P1Xcf78vv/+eT506V5+XkwM9evjy/PNmqlSBF1/UExdXQM+eRZ3ThQs2qbvkZCMhIbavq+NNxeHD\n",
       "MgMG1GDXrov4+zunLCVJpk0bX2JjLxMVpSuSvv7lFzWvv64jMdE5MlWi0iNH3JuOLW6RcllxJXNY\n",
       "Hh3sxUW9f/zxBy+++CKzZ8+mT58+Hs90CK4LIVzgjfz444/s3buXtLQ06vx71ZRlmXPnzmEwGFi5\n",
       "ciVTpkyhatWqREREEBUVRceOHZ22qVgsFnsE6Nh1eqMOVFkR5krM3dMUFiFQokrHqFyRO6zoURbF\n",
       "jvz8fNRqK6+/7sNrr1UhPt45/dq2rcywYRbGj9ezfLkJlQokCcaM0dOli8TQobbI6LbbCnjmGT3D\n",
       "hlmZNMns1HW7YIGOBx+02J0lOK96W7ZMx9ChVgIDfZxWm9kEFbSo1T5ERhZ1lgBff61lyJCiUenK\n",
       "lRoGDrS61Vm6qgdeL8XtS73edV7FpWAlSWLhwoWsWbOGVatWUb9+/eu2WeCdiAjTwyjn/1qNLJcu\n",
       "XSIhIQGDwcAff/yBj48PXbp0ISoqik6dOuHr6wsUrflB2TeQSJJkv4h4unHGFWXRqPWEXFvhyEOW\n",
       "VXTv7kNMjIVHH3V2QEajLZp8+mkLI0daeOMNHVu2qNm4sYB//6QAnDkDI0f6kJmp4p13TPTsKZGZ\n",
       "CeHhztGlI3l5EBbm3OzjuCt14sQaNG1qYfTonCKNRDk5KsLCqrB7d/6/ezaV8wnh4b588IGJyMjy\n",
       "T8cWN5LhbkozM6x8RlzJ7125coVx48ZRt25d3n77ba/SnBZcFyIle6sgyzJZWVls3bqV+Ph4UlJS\n",
       "0Gg0hIeH061bNzp37kzVf9dlFG7Jh5JrOd68laU8BBzcOcpSUr0tJUXNkCG2btMaNZyfp4yEjBhh\n",
       "5ptvtPz2m5Hbb3f1+rZmoKlTbY04/v7QpInE/Pmud2J+8YWWzZvVfPutyW5ffn4+FouVjIyq9OxZ\n",
       "lddfN5GVpeLMGds8Zk6OzdGeO6cmO1tNly4Wbr8dGjSA5s1ldDqZF17Qs2eP0WWz0o3gOKrk6e7w\n",
       "4j4nihaskibWarXs37+fmJgYJk6cyODBg73qOyO4boTDvFWRZZkrV66QnJxMfHw8v//+O1arlY4d\n",
       "OxIVFUXXrl0JCAiw/67iPJWLgJKKUiKxiryzLy2O9azyFHAoj1EWKJ2g+/jxOiwWlctB/8mTdXz0\n",
       "kZaNG41ERJT8tbNYYOFCLa+8okOvt+3OvPNOiebNJWrVgmrVZCwWGDtWz5AhFmrWhIwMmfR0mb//\n",
       "1nLihAa1GvR6mb59JUJCZOrUkQkKkgkIkPH1lRk3Ts/DD5to3NhMZiacOKHm8GEdKSk6xowx89pr\n",
       "lnJ1DJ6em70WBQUFGI1G+01QXFwcs2bNomXLlpw6dYo33niDwYMHU8XVEGw5onyv69evz9q1a916\n",
       "rEqOcJiVBaVzb/v27cTHx5OcnIzRaKR9+/ZERUURERFBjRo17GpEJ06ccNKXdKce7vXgWEutiItp\n",
       "WUZZyhL1ZmVBhw6+xMWZ6Nbtajpz9WrbJpL77rOwc6eGjRuNXEsEZvBgH6KirAwfbiE5Wc3evWoO\n",
       "H1Zz6RJkZ6u4eBH+/lvN3XdbqVnTwu23m2jYUEPTpmoaNJDp3t2XTz4xERFRNK2amqpiyBAf9u41\n",
       "2iXvJEkiJ8dKy5bV+Pnni9StaymX2UdPpWBLi7IGzmKxOKVgjUYjU6ZM4Z9//qFOnTps376dv/76\n",
       "iy5durBlyxa3fUbnz5/Pzp07ycnJYc2aNW45hgAQDrNyYzQa2b59OwaDgaSkJHJycggLC+Ps2bPs\n",
       "3buXbdu2ERAQUCZn4W4ca6me7NAtaVGwojxT2s0sP/2kZuJEPcnJttTsl19qmD1bx/ffF9CmjUxM\n",
       "jJ7jx237Mh2XUBd+jVde0bNjhxEfn6I/l2WIjvZhwgQTffvmAM4pzk2b1MyYoScpyXVadexYPSEh\n",
       "UpHZy6+/1vD997bF1yVpwJa2O7k4VRxvQZIkcnNzi+yuPH78OKNHj+bJJ5/k6aeftv//vLw8Dh8+\n",
       "TJs2bdxiz8mTJ3nqqaeYOnUq8+fPFxGmexEO05GNGzcyfvx4rFYrw4cP55VXXvG0SRXKhg0bePrp\n",
       "p2natCmBgYGcP3+e1q1b28UUateuXW56uNeDt9dSlc0sippLWUZZJk7Uce6citq1ZbZs0fD99wX2\n",
       "OUeLxdYlm56u4vvvCwgMdH5ubq6t6SY21kTv3q6bbn7+Wc0rr+j49dfz+PoWjcrvvtuHJ56w8Nhj\n",
       "RTtgz5+36cqmpuYTHOz8sx49fHjxRQsDBhR9XnEjT8U1V7kSJvcmihNO37x5M3PmzOHTTz+lXbt2\n",
       "FWrTQw89xJQpU8jOzmbu3LnCYboXMVaiYLVaiYmJYcuWLdSrV4/w8HDuu+8+wsLCPG1ahZCSksLo\n",
       "0aNZunQpffv2BWydnampqRgMBiZOnMjZs2cJCwuzz4KGhITYLxqO+w0dZcnKw4EqKbDCC5S9BUf7\n",
       "qlatilarLfMoy+zZZjp29KVaNfjtN+cmIK0WPvvMxMsv6+jTx5dvvimgSZOr963Tp+vo0kUq1llK\n",
       "kszrr2uZODEHf/+i52/HDjXHj6t46KGiTg9stdH777cWcZYpKWrOn1dx992un1eWXZjK+apSpYrX\n",
       "dZMW9/mzWCzMnj2bo0ePsmnTJqpXr16hdq1bt47g4GDatWtHfHx8hR5bcJVKGWFu27aNGTNmsHHj\n",
       "RgDmzJkDwKRJkzxpVoWh1DirFpfzw3ZTkZaWZt/IcvLkSZo2bWrXww0NDS1RD/d6alvKEuDCKTBv\n",
       "wVGUvCT7SjPKkp6uoW9fPxYuLKBXr6LOT5ZtzmvWLB1z5ph49FErCQlqnnlGT0qK0eWSZ6vVysqV\n",
       "Vt57ryrJySY0mqL2DR7sQ58+VkaPthT5mSIY/9NPRsLCnL/6Q4fq6dRJIiam6PNKg3JOlC5YJXvh\n",
       "qXS/K4pLEZ89e5ZRo0bRv39/JkyY4JHU8ZQpU1i6dClarRaj0Uh2djb//e9/WbJkSYXbUkkQKVmF\n",
       "7777jk2bNvG///0PgK+++ort27cTGxvrYcu8F0mS2L9/v10P9/jx4zRs2NDuQJs0aWJ3oIV1Pa+V\n",
       "rrwe+bOK5EaXFBc3orB9ux/Dh1dj/fp8WrZ0PYubmqpi9GgfqlWTOXpUzeefF9C3r1Tk9c1mM1lZ\n",
       "Rnr0CCI21kSvXkW/uikpaoYO1bN7t+va5/vva9m5U83Spc5dvMpKsrS0fP5tti4zrlKcxdWGPSGi\n",
       "XpxQQlJSElOnTmXevHles9nDYDCIlKz7ESlZBW+LXG4G1Go1LVu2pGXLlowdOxZJkjh8+LD9y3vk\n",
       "yBFCQkLsKdywsLAieriF05VKustoNKJWq/H39/fKxg8lKrpe+xyVZuDqKEt0tIU33sjlvvuqsGLF\n",
       "JVq0uDoPqkRb7drJxMcb6dTJlytX4LPPdMiymZ49JXQ65+0scXE1aNFCduksZRlefVXHpElml84y\n",
       "Oxs++EDHmjXGIj+bN0/HqFHm63KWJaXYHRWJlN9VnKejIpE7tZOL69KVJInY2FgMBgNr167ldleD\n",
       "sR5EXMM8Q6V0mPXq1SMjI8P+OCMjQ8hYlRG1Wk2zZs1o1qwZI0eORJZl0tPTiY+P58MPP+TAgQPU\n",
       "rl3bHoG2atXKyYGazWan9JxKpcJisVSYdF1pcNdsoPJ+9Xo9TzwBWq2FRx+txYoVubRsacJkMtnT\n",
       "lWq1hgkT/GnaVGLbNhMrVmh56y0dzzyjpnt3C23b5tO6tR69XkdsrJ6EBGeHJ8s2NaHlyzVcuKAi\n",
       "PFxi924VZrMKWQa1Gvz8ZL74QkuvXtYiIu+HDqnYsEHDn3+WfSuJ42xqtWrVrnn+VCoVOp3OyYEq\n",
       "kafJZCp3lSbH2V7Hm6HLly8TExNDixYtWLdundfV0aOjo4mOjva0GZWSSpmStVgsNGvWjF9++YW6\n",
       "devSqVMnli1bVmmafioCWZbJyMiwb2TZs2cPtWrVIjIykmbNmjF//nwGDhzIs88+a3eWrup9nnCg\n",
       "ntipuXq1huef1/P++yYGDbL+m8K1Mnmynu3btXz77UUCAq42Ep04IREfr2L3bj8OHbJtRJFlmxat\n",
       "Xm9zhGaz7R+93vbvWrVkatQAHx/Q6WS7dm12tor0dBUaDVSpAo0aSTRtKtOuncTmzRp69rQycWLZ\n",
       "apfK7Gx5dsGWp0pTcSnY3bt3M378eF577TXuueceEclVXkQN05GffvrJPlbyzDPPuH3VzdNPP836\n",
       "9esJDg4mLS3NrcfyRmRZ5vTp07zxxhssXryYbt26oVKpiIiIIDIykg4dOqDX60u8KLpL+9URTzYe\n",
       "/fmnTTCgf38r06aZefVVPfv2qfjhhwJq1LjanWwy2aI9JV35zjtV2bFDy5o1JqxWMJlskaVWa3OW\n",
       "Y8fq0elkFiwoKqEnyzBggA/9+lkZN87CpUtw9KiaAwdUrF2rISVFw4ED+fj5le49ON5suHt21pVK\n",
       "07UaiYoTTpdlmaVLl7Js2TIWL15MaGio2+wW3BQIh+lJEhMT8ff3Z+jQoZXSYQIMHz6clJQUli5d\n",
       "yp133smFCxfsEeiuXbvw8/Oja9euREVFER4ebk/hllUP93rwlsajy5dh8mQ9a9aoadjQtgtTmWBw\n",
       "TBHr9XokSeKHH1RMnVqFdesuUKdO0fOyfLlNGCEpyeiyBhkbq+W77zT88kuB0xaU/Hzo3NmXt982\n",
       "cffdpRNZL20XsTspqZFIrVbbbzYchRzy8vKYOHEiAQEBzJs3Dx9XRV5BZUM4TE9z/PhxBg4cWGkd\n",
       "ZmpqKi1atHB5QZJlmcuXL9s3suzYsQOdTkenTp3o1q0bnTp1sut0FqeH65jCLcvFuizbTyqKX39V\n",
       "88YbOrKyVAwfbub++3Px93duTPn1VzXDhvmwerWRtm2lIqMsO3fqefLJ6qxefYU2bVRFzktiopr/\n",
       "+z8fDAYjoaHOX/XnntNx5YqKuLjS1S6VFKyvry86nc5rUpnKZ8VsNmM22yJstVrNkiVLCAoKIiQk\n",
       "hFdffZWYmBiGDBniNXYLPI5wmJ6msjvMsmBbvpxtF5Tfvn07AOHh4URGRtK1a1f8/f3t4wnXI56u\n",
       "jGOUd62tvJBl+O03+PJLFVu2+NCmjUzPnlbatpU4dkzN22/r+OabApdrtpKTVTz2mA8ffphLr14F\n",
       "RSLz1FQ9jzxShSVLCoiOdn7+kiUa3n23+KjU2caKS8FeL4WdudVq5dNPP2X9+vWkpKQQFBRE7969\n",
       "6datG71796ZBgwZuscNoNBIdHW3PZNx///289dZbbjmW4IYRDtPTCId5/ciyTG5uLtu2bSM+Pp5t\n",
       "27ZhNpvp0KGDXVA+MDDQyYGWpIerXOglSfLKC33h2c+CAh1JSRoSEzWkpan54w8VubkqAgNt20n8\n",
       "/Gw1S7UarFY4elTFbbfJdj1alcq2ncTXV8bPT2L7di19+hTQs6eF5s1lWrWCmjU1/PCDlhde0LNp\n",
       "k5GmTUv++ntDCrYkinPmJpOJ1157jUuXLvHRRx+RkZFBYmIiiYmJdOjQgRdeeMFtNuXl5VGlShUs\n",
       "FgtRUVHMnTuXqKgotx1PcN0Ih+lphMMsX/Lz8+0bWZKSksjNzaV9+/ZERkYSGRlJrVq1itXDBVsa\n",
       "18fHp0IH5EuDMu5wLWdutcLFi3DliorcXNtjZVRElkGns/238rtmM+TmqsjOVpGRYXtuejocPKhm\n",
       "/34NwcFWJEnN4sVXaN9eVarI/HqEHCqC4pz5qVOnGDlyJIMHD2bMmDEeS7/n5eURHR3N4sWLadGi\n",
       "hUdsEJSIEC4Q3Fr4+fnRo0cPevToAdh2Fu7YsQODwcCSJUvIysrizjvvJCIigqioKAIDA+17C1u3\n",
       "bm1v9FEurO4WlC8NyriDTqejSpUqJdqh0UBwMAQHl+W+1tXvWrFYzBw6JPOf/1jQaCwYja6VdwB7\n",
       "1FbaDS0VTXHC6b/99hszZ84kNjaWzp07e8Q2SZJo3749R48eZcyYMcJZ3mSICLOCGDJkCAaDgYsX\n",
       "LxIcHMzMmTMZNmyYW4+ZkZHB0KFDOXfuHCqVipEjRzJu3Di3HtObMJvN7Ny5E4PBwIYNG9i7dy/N\n",
       "mzfnscceo2/fvtStW9dJUL489HCvF2/p0i1sU+HzAramGSUy94YGKYXCwviKM7darbz77rv8+eef\n",
       "xMXFUatWLQ9bCllZWfTv3585c+bYb/gEXoVIyVY2MjMzyczMpG3btly5coUOHTqwevXqSiXQIMsy\n",
       "H374ITNnzuTNN9+kffv2GAwGEhISOH36NM2bN7evNGvQoIHdgZZVD/dG8Pa9kEo9VVnirVKp7Oen\n",
       "pK0sFYnjOXSMzC9cuMDo0aOJiorilVde8aqIeNasWfj5+fHiiy962hRBUURKtrJRu3ZtateuDdh0\n",
       "UMPCwjh9+nSlcphgq1slJyfTpEkTADp06MDEiRORJIm9e/cSHx/P9OnT+fvvv2ncuLFdD7dx48al\n",
       "0sO9EQfqDkWc8kTZbCNJEv7+/k4Ox1G6Tqlplqd0XWkpbrdmSkoKL730EnPmzKFXr14eP7cXLlxA\n",
       "q9VSvXp18vPz+fnnn5k+fbpHbRKUDRFhVhKOHz9OdHQ0e/fuxd/f39PmeCWSJHHw4EH7SrNjx47x\n",
       "n//8x66H26xZM6eNLIWXJZcl0vKE/F5ZcaynlmaJd3lK15WGkoTT//e//7F+/XoWL15MvXr1yuV4\n",
       "N0paWhpPPvkkkiQhSRJPPPEEy5HLAAAACt9JREFUL730kqfNErhGpGQrK1euXKFHjx5MmzaNBx54\n",
       "wNPm3DRIksSxY8fsK80OHTpE3bp17SncFi1a2EdUCs+ClqSHezOMY7iSj7ue1yksXVfaGdlr4bhF\n",
       "xlG1Jycnh+eee44GDRrw5ptvekUtWHBTIhxmZcRsNjNgwADuvvtuxo8f72lzbmpkWebEiRN2Ob99\n",
       "+/YRFBRkT+HeeeedaLXaEiMtxYH4+vp6pQSb4wYPR0dUnq9/rRnZaznQ4oTT9+3bR0xMDC+//DKD\n",
       "Bg3yuhsRwU2FcJiVDVmWefLJJ6lVqxbvvfeep8255ZBlmVOnTtmbiP766y+qV69ud6Bt27a1C8qf\n",
       "P3+egoICAgMD7c93V6ryeilrCrY8KMsS6ZKE05cvX05cXByLFi3ijjvucLvdglse4TArG1u3bqV7\n",
       "9+7ceeed9ovOW2+9xV133eVhy25NZFnm3Llz9gg0NTWVqlWrEhoaytq1a3nppZcYPXo0gEtB+RvR\n",
       "w71Ru71lpKW4ER+NRmM/T1WrVrVHvkajkVdeeQWABQsW4FfatSoCQckIhylwP0Iv8yoFBQW89NJL\n",
       "fP311zzwwAMcPHgQvV5Ply5d7ILySiR3vXq4N4q7U7A3iqOqkPL4q6++Yv/+/bRu3Zply5YxZswY\n",
       "nnrqKbfeYFT2meZKiHCYgopB6GXaiImJIT09nUWLFhEUFIQsy2RlZbF161YMBgMpKSmo1WrCw8Pp\n",
       "1q0bnTt3pmrVqqXWw71RB1FcLdBbcJWClWWZffv2sXTpUn755RdOnz5NzZo16d69O7169eKJJ55w\n",
       "iy1iprnSIeYwBRWDsobLZDJhtVqpWbOmhy3yDLNnzyYgIMDuiFQqFdWrV2fAgAEMGDAAWZa5cuWK\n",
       "fSPL/PnzsVqtdOzYkaioKLp27Wp/vmMKV9GZvV45P29KwRaH49hNYdWeb7/9ljNnzpCcnEy1atXY\n",
       "v38/CQkJHDhwwG32iJlmAYgIU+AGCutlvvPOO5426aZAcRK///478fHxJCcnYzQaadeuHVFRUURG\n",
       "RlKjRg0nOT9XzTIlOdDixjG8ieLGbjIzMxk1ahT33nsv48aN85jtYqa5UiBSsoKKRehl3jhGo5GU\n",
       "lBQMBgNbt24lJyeHtm3b2jeyBAUFlVoPV4lOvTUFC867Kx23oCQmJjJt2jTee+89j6b3xUxzpUE4\n",
       "TEHFI/Qyyxez2WzfyLJ161YuXbpEq1at7GIKtWvXLlYPF2yjLHq93utWminC6RaLxWmlmSRJfPDB\n",
       "ByQlJbFo0SKCg4M9ZqOYaa5UCIcpcD+F9TL79+/P9OnT6d27t6dNuyWxWCykpqZiMBhITEwkMzOT\n",
       "sLAwuwMFmDhxInPnzqVu3bpOtdDy0sO9UYoTTv/nn38YO3Ysbdq04bXXXvOocLqYaa50CIcpcD+e\n",
       "1stUmmbq16/P2rVrK+y43oLVamXPnj3Ex8ezYsUK0tLS6NevH71796Zbt240bNiw3PRwy4PihNNT\n",
       "U1OZMGECM2bM4K677vJ4NCxmmisdwmEKbn3mz5/Pzp07ycnJYc2aNZ42xyOYzWamTJnCihUr+Oqr\n",
       "r6hVq5ZdUP748eOEhobaBeWbNGlid6Bl0cO9UUoSTl+8eDErV65k8eLFNGjQoNyOKRCUATFWIri1\n",
       "OXnyJBs2bGDq1KnMnz/f0+Z4FK1WS2pqqn1ZcsuWLRk7diySJHHkyBHi4+OZO3cuhw8fJiQkxJ7C\n",
       "DQsLw8fHx8mBOgoHFE7h3ohwukqlwt/f3+6Ic3NzmTBhAjVr1mTz5s1OTT8CgTcgIkzBLcNDDz3E\n",
       "lClTyM7OZu7cuZUyJVtWZFkmPT3dLud34MABbr/9dvsYS+vWrYtsZLmR1V3FiSUcPHiQsWPH8vzz\n",
       "z/Pwww97PAUrqPSICFNw67Ju3TqCg4Np164d8fHxnjbnpkGlUtGoUSMaNWrEsGHDkGWZkydPEh8f\n",
       "T1xcHHv27KFmzZp2Qfk2bdo4RaCK8ywoKACK18MtLgUryzKrVq3ik08+YeHChUIIQODViAhTcEsw\n",
       "ZcoUli5dilarxWg0kp2dzX//+1+WLFniadNuamRZJjMz0x6B/vnnnwQEBBAREUFUVBQdOnSwp06L\n",
       "08NVhNNlWXYSTjeZTEybNo2srCw++eQTIQIg8CZE04+gcmAwGERK1k3IsszFixftTUS7du3C19eX\n",
       "rl27EhkZaReUB5sDzczMtOvjyrLMkiVLyM3NpXXr1sTGxvL4448zYsQIt3fkPv3006xfv57g4GDS\n",
       "0tLceizBLYFwmILKgcFgYN68eRXWJRsaGkpAQAAajQadTkdKSkqFHNcbkGWZy5cvk5CQQEJCAjt2\n",
       "7ECr1RIeHo7ZbGbp0qUkJSVRv359JEnil19+YcWKFRgMBi5fvkzXrl2Jjo6md+/eREREuM3OxMRE\n",
       "/P39GTp0qHCYgtIgHKZA4A4aNmzIzp07K63IvCPKUu0hQ4Zw7Ngx2rRpQ25uLuHh4URERLBt2zaO\n",
       "HDnCwoULUalU9s0teXl5fPzxx2617fjx4wwcOFA4TEFpEE0/AoG7uMaNZ6XBZDLRv39/IiMj2bx5\n",
       "M76+vuTl5bFt2za+++47cnJy+P777+0p2IEDBzJw4EAPWy0QlA4RYQoEN0ijRo0IDAxEo9EwatQo\n",
       "RowY4WmTPMrevXtp2bKlp80ogogwBWVARJgCgTtISkqiTp06nD9/nr59+9K8eXO7jmtlxBudpUBQ\n",
       "HnjfMjyB4CajTp06AAQFBTFo0KBK1fQjEFQmhMMUCG6AvLw8cnJyAJu02+bNm2ndurWHrRIUZsiQ\n",
       "IURERHDo0CFCQkKIi4vztEmCmxBRwxQIboD09HQGDRoE2GTfHn/8cSZPnuxhqwQCwQ0ixkoEgluN\n",
       "y5cvM3z4cPbu3YtKpeLLL7+kS5cunjZLILjZEU0/AsGtxvPPP88999zDd999h8ViITc319MmCQS3\n",
       "LCLCFAhuUrKysmjXrh3Hjh3ztCkCwa2GywhTNP0IBDcp6enpBAUFMWzYMNq3b8+IESPIy8vztFkC\n",
       "wS2LcJgCwU2KxWJh165dPPvss+zatYuqVasyZ84cT5slENyyCIcpENyk1K9fn/r16xMeHg7A4MGD\n",
       "2bVrl4etcg8bN26kefPmNGnShLffftvT5ggqKcJhCgQ3KbVr1yYkJIRDhw4BsGXLlltSZcdqtRIT\n",
       "E8PGjRvZt28fy5YtY//+/Z42S1AJEV2yAsFNjLJT0mQy0bhx41tyID8lJYU77riD0NBQAB599FF+\n",
       "/PFHwsLCPGuYoNIhHKZAcBPTpk0bduzYUeHHPXjwII8++qj98bFjx5g1axbjxo0r92OdOnWKkJAQ\n",
       "++P69euzffv2cj+OQHAthMMUCARlplmzZqSmpgIgSRL16tWzKx6VNyqVyw5/gaDCETVMgUBwQ2zZ\n",
       "soXGjRs7RYHlSb169cjIyLA/zsjIoH79+m45lkBQEsJhCgSCG2L58uU89thjbnv9jh07cvjwYY4f\n",
       "P47JZGLFihXcd999bjueQFAcQulHIBBcNyaTiXr16rFv3z6CgoLcdpyffvqJ8ePHY7VaeeaZZ4TA\n",
       "vcDdCPF1gUBQvvz444988sknbNy40dOmCATliZDGEwgE5cuyZcsYMmSIp80QCCqEa0WYAoFA4BKV\n",
       "SlUVOAE0lGU5x9P2CATuRjhMgUAgEAhKgUjJCgQCgUBQCoTDFAgEAoGgFAiHKRAIBAJBKRAOUyAQ\n",
       "CASCUiAcpkAgEAgEpeD/AcAMPWNfiIFIAAAAAElFTkSuQmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0xda5dbe0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# wire frame\n",
    "fig = plt.figure(figsize=(8,6))\n",
    "\n",
    "ax = fig.add_subplot(1, 1, 1, projection='3d')\n",
    "\n",
    "p = ax.plot_wireframe(X, Y, Z, rstride=4, cstride=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAcwAAAFdCAYAAACO4V1gAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXd4XNWdv987vanL6t2Sm4x7wzYYm14WyFLDErKU1E1I\n",
       "SDY9+0uyKUsCbMICSQiEBAgQIAkkoWPABXds2ZaNu+Uiy7LVpelzZ+7vD/mOR/JImpFmRjPSeZ+H\n",
       "hwRp5pw7unM+99slRVEQCAQCgUAwOJrR3oBAIBAIBKmAEEyBQCAQCCJACKZAIBAIBBEgBFMgEAgE\n",
       "gggQgikQCAQCQQQIwRQIBAKBIAJ0Q/xc1JwIBAKBYLwhhfuPwsIUCAQCgSAChGAKBAKBQBABQjAF\n",
       "AoFAIIgAIZgCgUAgEESAEEyBQCAQCCJACKZAIBAIBBEgBFMgEAgEgggQgikQCAQCQQQIwRQIBAKB\n",
       "IAKEYAoEAoFAEAFCMAUCgUAgiAAhmAKBQCAQRIAQTIFAIBAIIkAIpkAgEAgEESAEUyAQCASCCBCC\n",
       "KRAIBAJBBAjBFAgEAoEgAoRgCgQCgUAQAUIwBQKBQCCIACGYAoFAIBBEgG60NyAQjAaKoiDLMj6f\n",
       "D71ej1arRZIkJEka7a0JBIIkRVIUZbCfD/pDgSDVUBSFQCCALMvIsozH40GjOeto0Wq16HQ6dDod\n",
       "Go0GjUYjRFQgGH+E/dILwRSMGwKBAD6fj0AggCRJKIqC1+sNCqaiKH3+UYVSo9Gg0+nQarXBf4SI\n",
       "CgRjmrBfcOGSFYx5FEXB5/Ph9/sBgq7X/g+L4Vyyqnh6vd4+/y1UPENFVAipQDB2EYIpGLOocUpZ\n",
       "loHwgjgUA4kogCzLeL3e4M8lSQq6dLVarXDpCgRjDCGYgjGHoij4/X58Ph8wPKEcjFCBDI1/quuq\n",
       "Aq2iWqBqXFS4dAWC1EQIpmDMECpYagwykcI0kDUaCATw+/14vV48Hg8Gg6GPiKrWqHDpCgTJjRBM\n",
       "QcqjxhlDE3pCLb/RpL8IBgKB4N58Pp9w6QoEKYQQTEFK0z/zNVIrTU3k8fl8fdykiRAndR2tVttn\n",
       "P8CALt3QLF0hogLB6CAEU5CSjCShx+fz4XK5CAQCaLXaYPKOoihB8VStu0SJU6iVGYrq0vV4PIOW\n",
       "uqh7FQgE8UMIpiClGIlQ+v1+nE4nfr8fs9mMTqdDluXg69UYqBpzVC3XUPFMtIUXaamL+rvh6kWF\n",
       "NSoQxAYhmIKUYCQJPYFAAJfLhdfrxWQyYbPZkCSJQCDQx2pTBaf/uoFAICiisiz3iZP2t0aHQq3/\n",
       "HImIiVIXgWB0EJ1+BEmNKpQulwtZljGbzREf9oqi4Ha7cbvdGAwGzGZzH1FT45/Riodq4anWqCqm\n",
       "qoiGWqP9xc3hcJyzj3gS2rkoFFHqIhAMiuj0I0gd+me+qgIVTUKPy+VCq9WSnp7eJ8FGZbgCoYpg\n",
       "/xrM0BKSgeKi4cQrnkRS6qKi7lOUuggE4RGCKUg6hpv5Cr0JPU6nEwCr1Yper4/nVoOEimioW7d/\n",
       "XBTA5XIlZVwU+pa6qA8oBoNBuHQFAoRgCpKIoRJ6BrPM+if0GAyGpDjU+8dFHQ4HJpMJIGxctH9M\n",
       "NFGuW/WzCrXE1ZIbUeoiEPQiBFMw6kSS+TrQYTxQQk80ayf6oA9NGFIt4NDkItXC7h8XHQ03abgm\n",
       "EKGlLqGIUhfBWEcIpmDUGEnma2hCj9FoJCMjY1iHc7JYRap12b+ZQWi8MTSeO1r1oupeRamLYDwi\n",
       "BFOQcMIJ5VBip5ZjKIqCx+PB5XKh1+sHTOgZC0QaFw1NLkrGuGi4UheNRoNerxdxUUFKIQRTkFD6\n",
       "J/REahWqYtnd3Y0kSaSlpZ1TMzleiLZedLTjouEyigOBAG63u49LXJS6CJKd8XniCBLOSDJfZVnG\n",
       "6XQSCASw2Wzo9XpxkPYj1KUbq7hovMpfhlPqEiqkwqUrGC2EYAriykhb2blcLnw+H0ajkUAggMFg\n",
       "iOd2xxQjjYsmMiEq0lKX0OsSpS6CRCMEUxAXRiKUqrvO4/FgNBrJzMwkEAick1AiiJ5o46IejwdZ\n",
       "lkctLgqcE6MeaFC3KqTqvFEhooJYIwRTEFNGmvkamtAz3MxXQfSEi4s6nU50Ol2wicFAcdFExxoH\n",
       "skbVMpdQIRWlLoJYIgRTEBNUN5/P54s48zX0tWqHHq1WGzahR82SFSSOUEt0oLio1+vtk8A1mvWi\n",
       "6j+qRSpKXQSxRgimYMQMN/MVzs6mVBQloa3sBMMj2rhouAzdZIiLyrKMz+cL/rfQuKiaXCRcuoL+\n",
       "CMEUDBs11gh9n/AjYTit7ISFmZwMFBcNtUTD1YvGOmFHfe+h9hr679DXqt2L3G538OfqNYlSFwEI\n",
       "wRQMg9CEHrvdjsViidgyHG4rO3FIpR7h4oWhlmioNZqscVHVpau6dVWrWZS6jE+EYAoiZiSZr/1n\n",
       "U47XhJ7xHosdyKWbzHHRUMSg7vGNEEzBkIw08zWS2ZTR7EUcQmOLVIuLqv/u371ooKku4WaMClIT\n",
       "IZiCAYkk83UwiymWsynjdciIw2tgRtMSHk5cVN3vaFh30XYvCjcaTdyLyY8QTEFYRpL5mqyzKQXR\n",
       "k2x/t8HiompvWo/Hk9RxUSAo9GqrQlVAQ4VUiGjyIQRT0IdAIIAsy/j9fmDoOGWohRma0GM2m6Oe\n",
       "TTkU6lriEBGEEiqMer0enU6X1HFRONu9SJbl4PqDDeoWpS7JgRBMATDyhB6XyzXi2ZQCQaxIlbho\n",
       "aE6AKHVJfoRgjnNGKpSqVZmqsymFxTp2GOpvGUlcVG3/F8960XD7Gmy/oURS6iJcuvFDCOY4ZaSZ\n",
       "r2qHHnWCiNVqjfOORUmGID5EUy/a3wpNprioKHWJP0IwxxnqQRDaSDsa92nobEqLxYLP5xPuV8GY\n",
       "Yzj1ov1FKRJhioWHYySlLsKlGx1CMMcRI818VWdTms1mjEYjkiQFLdRURD3UhFtWEAmDxUXV0WgD\n",
       "xUVHw0UabalLuHpR8b3oixDMcUC0ma/9X9t/NmXoaxPpJhUuWcFgjMaDT2hcNHQfodao6ioNFxdV\n",
       "H14Tvd9QxKDuyBGCOYYZaUJPpLMphYgJBGcJJ6IQPi4KBLtgjWZcFDjHcgYGden276U7HhCCOQYZ\n",
       "qVAONZsylER/UYQ4Jw7xWceWcC5du92O0WgMimks4qKx2mvov1XUfTocDvR6ffBaxsugbiGYYwhV\n",
       "KN1uNzqdLuov2HBnUybSJRtL1ANKPchEzOZcUunzSNVYdH+LMhXiooqiBK3LgQZ1q3vcvn075513\n",
       "Hunp6QnbZ7wQgjkGCM18lWUZh8NBVlZWxK8fSSu7VDygQt3NWq02+GVXY0z9i9hT8RoFyc9AD5oj\n",
       "jYsm6p4NtUIHK3V5+OGH+fnPfy4EUzD6hMt8jdTiG+5syv6kUtKP1+vF6XSi0WhIS0sLPrmr760+\n",
       "1fdv7C1EVBAvIrmXBouLht6ziagXjeQ7GCqmPT09ZGRkxGTt0UYIZoqixhoHynwdzD0Vy9mUqSIc\n",
       "oVa0OvBakqQ+biRJks6J1/ZP1Bjtp3qBIJTB7tlY1osOtHYk2O120tLShrVGsiEEM8UYKqFnsJs4\n",
       "1rMpQ983WRlpQ/jBCtgH6gIzlIgm8+eVqqTiZxqvmGuk9aLqpJRwluhQ50g0+1bjnWOBsXEV4wD1\n",
       "ZldT0aO9qWM5mzKURCccRHowhsYpR2pFh9tHtCKqHkaC+CKs/PAMJy46UBgimocTdY2xghDMJGc4\n",
       "PV9Dfy7LMi6XK66zKZPtC9E/TjlUWUws9j9UKzX1b6hOn5Bl+ZwRU4LxxWhn9Q43LhoqnGM5OTAc\n",
       "QjCTFPXJbDit7CRJCrayi9dsytC1koWB4pSjRaiIqha90+kMlvyEiqj6u0JEBaPNUHFR9eHd4XCM\n",
       "er1oohGCmYT0z3yNtvGAoijBguh4z6ZMhtZ4scr2TQTqAaPT6YIi2j9Jw+PxnCOiokn24Iy2tTbW\n",
       "CX34Uz9nk8k0YFxUkiQeeughampq0Ov1QQt1JHR2dnLPPfewe/duJEniqaeeYtGiRbG4vIgRgplE\n",
       "xKqVHfTGKQ0GQ9z2mgzEM06ZSIZy5/bPdEyUiAoRii+p+vn2H3odLi7q8XjQaDT89a9/pa6ujszM\n",
       "TGbMmMHs2bO5/fbbWbhwYdTrfuUrX+Gqq67iL3/5S7DePNEIwUwCYtHKzuVyIUkSaWlpOJ3OhLbQ\n",
       "SmQMU10rmjhlKhJJpuNA5QLCEhXEk8G+7+rZZTab+d73vkdDQwP3338/jz76KNu3b2f79u3ndASK\n",
       "hK6uLtauXcvTTz8NgE6nG5XazrF1yqQYIxniDOfOpgyN2SVbIk4skCSJQCBAT09P0sQpE8lgT/Sh\n",
       "bjG32x02tpSK1vdYJlUtTIiuBjM9PZ3s7GxWrFjBihUrhrVeQ0MDEyZM4M4772THjh3MnTuXhx9+\n",
       "GIvFMqz3Gy7iGzQKqBalx+MJlolEk+Th9/ux2+309PQEXZGh2a/JWuoxElQx8Hg8wafLeGT8phqq\n",
       "MOr1eoxGI2azGavVitlsRq/X92mm73A4cLlcwSxdtcvRWCCVxSfViOaz7u7ujknTAlmW2bZtG1/8\n",
       "4hfZtm0bVquV+++/f8TvGy3CwkwgI8l8haFnU6ok2k0aT0LjlBqNJigKgoEJtURVV3VozV1oqQBw\n",
       "TsOFsZzlmEyMB5Hv6emJSQ/ZkpISSkpKmD9/PgA33nijEMyxzEgzXyOdTRn6mkQSjy+/2pVIjc36\n",
       "fL4x8yCQaKIRUXUqBvQ+2YtJLoJQ1MYGkRArwSwoKKC0tJT9+/czadIkVq5cSW1t7YjfN1qEYMaZ\n",
       "RM6mVEm0SzbWDFRPqbqvY4k69X48Ek5EgXOaLajdX0Z7tJQgOYjmoTVWggnwyCOP8G//9m94vV4m\n",
       "TpzIH/7wh5i8bzQIwYwTqlCq9YHR1gYOdzYlJN4lq6430sNzqHpKNeknlgiL9VxCE4RMJlPwcx+q\n",
       "hdpoimgqujdTcc8q0ST9FBcXx2TNmTNnsmXLlpi813ARghljwmW+RvPFGMlsyv77SBXGSj3lWCZc\n",
       "lm1odm6kfUgFqU+0ST9jZbQXCMGMGWosSI2zqa6uSOdTxrJbzWhZmMNBdTmrccqxVk85lhmohZqY\n",
       "KRoZ0cQCUxWHwzEmBkeriNMpBoQb4hzKYGISy9mUKvFwXcaa4fR9jdeDQCq7xuLFcD/naEU0VjNF\n",
       "xd8wcUTzWff09IyZWZggBHNEqK6o0P6J/W+kgW6seM2mDH3/RBGNkKVS31dBbJK6BmvmPdyZomOB\n",
       "VBX5aJN+hEt2nBNN5ms4MYnXbMrQNZMNEac8SyrFl+PFYP1zx7OIpgrRxDCFS3acMpwSkVDBTMRs\n",
       "yv5rJoKh1otVnHIsNGQQB/3ADNWEfrDB3Kl+X6QK0X7Obrc74e3r4okQzAgYac9X6E2v9vl8cZ1N\n",
       "GUoyHCDJNp9SkHqEimi4cWihM0Wh94BOlZmiqeqShcgf/MZaYpMQzEEYKPM1mter47YkSUqYGzLR\n",
       "X8L+ll8845SxfhBI1QNrPBNORD0eT7C5wkCDucUkl5ETjcgnw0N7rBGCOQBDZb4ORv9WdgBmszlh\n",
       "T1qj5bqMd5xSHHSJIRUPOvXe0Ov1Aw7mHo2ZooORihbmcO6NVLvGwRCC2Y/QzFcY+WxKnU5HZ2dn\n",
       "Sh5CkSJJUjA+K+opUxtFUWhva+sVnRQ/6IaKiYqZosNDWJiCEfV8hcFnUyZbEk4sURMx4GzGb7wO\n",
       "mrGQ9JPsSJJEVnY2LpcLp8OBQ6vFYrEkvXhEaq0NJKKjMVM0VS3MSPfsdrvH3GShcS+YIxVKv9+P\n",
       "y+UKJvQYjcawtZhjTTBDR41pNBoMBgMGgyGuawoSg0ajwWKxBC0wWZZJT09PucM9UkKb0KuEE1G1\n",
       "3lqMQ4uMsVZSAuNYMEea+RrpbEoYHcsoXuuFi1OqrljB2EHNbszMzKS7q4vuri7SMzLGzd95MBEN\n",
       "LXEZroimqqckGgvTbrePqS4/MA4FU73hQ7PohpvQE2liy2hYmPFgoHrKRF2fcMkmHkmSSM/IoKuz\n",
       "E4fdjm2MHYDRECqikc4UHUpEU+0BJNrG60IwU5iRZr4OZzblaBKrGImopxzfqKLZ2dGB2+3GZDKN\n",
       "9pbOYbTq/YYroupeUzGOGSmxnIWZLCT3iR8jVIsyNCknmpt0JLMpIXUtzFC382D1lKls+amHm2Bw\n",
       "NBoN6enpdHZ2otfrY9r3eKwRTkSBPtm5as6Ew+FIqcHc0VqYQjBTDLXJ+WjOphwNQYn2WkNJ1r6v\n",
       "sfwcVY+Bw+EIfk7hXGiCs+j0eixWKz3d3WQMErMXhCfUslSbe5jN5qQezD0SRAwzBVFvNPWJL9Gz\n",
       "KdU9jJZgRstw+r5KUvKPEwvF7/cHhVLNBgXOabU2Hpt+Kwo0denINvvC/txsNuNxu/G43ZjGWMlA\n",
       "Iuk/M7f/z5J1pmg0ru+enh7y8/PjvKPEMuYFE/paW4meTamun+yCkipxypE8eIQ+CKklQKoHQj2M\n",
       "BupXOl4mZwQUaLVr2dtsIMesZZoxgCHklJAkCVtaGl2dnRiMxqTwPMDYigVKUvIO5o52FmZ1dXXc\n",
       "9jIaCMEk/rMp1TUSSaQWZqRxyuGu5ff76ersJCMjA+0Ik6SGexCof1+n04ler+/zIDTQvsP1K+0/\n",
       "fmosuc9UtBqYWeLB7Q2w/5SWdYfMzCjxkGM9+8Cn1+sxGo04HY5xnTWbSAYS0YHux2R4qLPb7WNq\n",
       "FiaME8FUCXewx3s2pbpuoonEmo53nNLn89HW2orZYkEzSkkiarKXoigjzmwerNXamBHRgB/twS2Y\n",
       "MguZmJVNUZbEjuMmphZ6KMzwB3/NarPR3taG2Wwe8YPQeCQWFnEk92OsPSPRWpgihpmChGtRFzqb\n",
       "Mt4uyGTLIo3VfEqVcNcnyzJtra2kpadjtVpH9P79ieRLG+p+tVgscZ09Gu7QUt1noYkcWq026JpP\n",
       "ZhENZOSjPXWINE89tup5zK8o5KOjJjSSl/z0XtHUaDSYLRYcDgfpSWBFjCWX7EgYjojGK9FNlJWk\n",
       "OOrB7nA4gnGsRMymTJakn0TFKRVFoa2tDavNFlOxjGSvyZDhG859FtrsW22nCIR98h9VNFqU/Eq8\n",
       "uWX4W45jOfgRGRPKmFM6k63HzBh0brIsvaJvNptpb2tDluWkr0lONhIp8IOJ6ECJbgOJaLQWpnDJ\n",
       "piiKcnY2JZDQg3S0BTMWccpI1wJ6a/V0Omw2W8zWiIRYW86xRD2E1FZqer1+0DZryTA1Q07PQ555\n",
       "Kdq968j2rGd60WK2HzexuMqNUa8Ee846k8TKFETOYDH6/iIaWnIVzTlmt9uFhZmKeL1euru7R2U2\n",
       "JYzufEq32x2cy5mIhwT3mZKDvPz8uLlA+z/lBgIBnE4nPp9vWO7X0YoxR9IhJtzUjISKqN6Iv3YZ\n",
       "2r3rKDy1ka7Mpew8YWReuRtJArPFQltrq7AyoyQZXchDiagaTlAfSoeaKer1esfcQIZxcYeHtrLr\n",
       "6OhIqnhivFAt6kS08VNFTFEUOjs6yMzMTMgDSWgZ0FAN8FOBwURUjYmGG4Ic90YLGi3+yYvRfrya\n",
       "GsM2NgTmc7RdR0WOjCRJmC0WnE7nqFoTyShAY4FQEVWbfVgslj5C2n+m6GuvvUZmZmZMQz5+v595\n",
       "8+ZRUlLCP//5z5i853AYF4IZKhbRuhViQSItTDVOKcsyer0eq9WasIPE3tODXq9PSEG72qUnXmVA\n",
       "yUKoiKr0f+r3eDzxT+LQ6vBPXoJu50pmluaxoaWSvDQ/FoMSjGX6/f4x+3eINan80K7eiwPNFD1w\n",
       "4ACrV69m27ZtVFZWMnfuXObMmcNll13G/Pnzh7Xmww8/zLRp0+jp6YnJNQyX5Kg6jjP9D42xKJiq\n",
       "W7K7uxudTofBYEiY605tzGC328nIzIz7ena7HYfDgcViwWazjfiQTrXDS33qV+shLRYLVqsVo9EY\n",
       "zMT1eDw4HA6cTidutzsYIx3RtRpM+CcvJv3oRqoyHOxuMqAovQeoyWTCdaY8SxAZqWYRD2bFqw91\n",
       "er2e7373u7z11lvMmTOHd999l5tuuomuri7q6+uHtW5jYyNvvPEG99xzz6h/V8eFhRnKaCXgQHzc\n",
       "RqFZoaFxSrVZfKLwnck6jpfrV3W/quUZaWlpMfksk7W0I1oiabQQWk4w3O4wSlo2geLJVLWtosl0\n",
       "Jc3dWgoz/JgtFjra27FYraOf6SuIC9GcX4FAAK1WS01NDTU1Ndx6663DXve+++7jgQceoLu7e9jv\n",
       "ESvG3Z09Wgk48VjX5/PR3d2N1+slLS0Nm80WPKwSeZ3q2LS0OMSw1C49XV1dyHJvzMxkMo0JkYs3\n",
       "qogaDAZMJlMfS1SSJPx+P263O2iJejyePqOoBiJQNBkNCrWGQ+w7ZcAfILiO2+1O4BWeJdYPo4qi\n",
       "4GvrxNvSjhKHtpZjPeba09MTkyz51157jby8PGbPnj3q1iWMEwsz9MYcC4KZbH1fnQ4HOp0u5vEr\n",
       "tUl6IBAIdmHq6upKii9OqhJNowUAj8dz7gBkScI/cT659e+RkVdGQ6ue6jwfZouF7q4uzGZzSoqB\n",
       "oih0rv2I5j/+jY41m+l9EtCg+GQylsyh6M4byLpkSUpeWyyIRuRjNalk/fr1/OMf/+CNN97A7XbT\n",
       "3d3NHXfcwTPPPDPi9x4O40IwQ0m2rjvRoGa+RlJPmajrVGOn+himj/e/TmFRxpdwjRZkWcbj8SBJ\n",
       "UtgByFq9Gamwhmk9m/nQfQGl2T6Mej0ajQav14vRaBylqxkeroZGDn7j57iPN1H82Vup+unXMBZO\n",
       "AMDX3knbW2s5/MNHMPz6eWp+9T3M5cUjWm88WJixEMyf/exn/OxnPwNg9erVPPjgg6MmljBOXLKp\n",
       "bmGq8bvOzk4CgQAZGRlDPsUn6jqdTicGgyEm2cdqPHao60zVB55UQ6PRYDAYMJvNWK3WoDcDesMB\n",
       "PRklmJ0nyde3c6BZiyzLo5L8M9L7ofWf77P98jvJXLaAuR++iPbaa1l3SMsLr5zkhVdPsvGAgunq\n",
       "K5i7+jmyli9k++V30fnhRzHafeoQjcjHa3j0aD9kjEsLczRGbQ1XwJK5e42iKDjsdjKzsnA4HCN6\n",
       "r9Am6TabbcAm+KP9hRnPqAlCwRpRk4lA5WymHP2QVeZ/oTjdiU7y45NlHHY7+jMPUonM1o6WE4//\n",
       "meOPPMv0Fx+mwVTKoz8/zJHjbmZOs1GUbySgwHtr2/m/J44xZ0Y6/37LrUyZOZU9d32Hyb/9Mdkr\n",
       "Fg1rr6n40BdtW7xYC+ayZctYtmxZTN8zWpLn9I0z4TrEjMb6kTLSOGUiLEyPxwOShMFgGLZghptR\n",
       "KUQxNZAkCbKLMJ46SLnhNCd6cqgt8iABst+P7kzCVsIbLUTI8f97huZnX2XS3x7nN+/62L3vKHfc\n",
       "VMgFi7Iw6Ps63xxOP6+vbOGr/7WX226oYNkzD7Dnjm9Q+9z/kj7/vGGtP9rXH09iFcNMNsaFSzaU\n",
       "ZHfJKorSp54yIyNjWJM2EnGdDocj2Bgh2vVUN3NXVxfQ29s3klhlKsegxySShL98JhPb13KqR4vT\n",
       "2zvFxOf1YtDrg5m5ZrM52C1GrRF1OBy43e5gQ/pE/l1PPvMqTU/9hdzf/or//E0XZpOWxx+YxsUX\n",
       "5JwjlgBWi5abry3gVz+ewtsftPF0fRbVD/8XH//7N/GcOJWwfY8myeCSHW3GjWCqf+jRPHCHmk8Z\n",
       "bZxyNPH7/XjcbiwWS9Sv7V8OYxW1e6mNNRN9Vi7l2iYOt+qDtaBujwfoW9Qe2mjBZDLFt9HCAHSs\n",
       "3syRn/0G6/8+wPee7OTW6wr48t1lmIxD34OF+UYe+uEkTp7y8HRDGQV33cSeu7+DIstR7SFVk37U\n",
       "9njqMIeBwltjcXg0jCPBVBnNGOZADFZPOZL14vlg4HQ6+zSxj2Q9tRuQ3W7HZDIlXUxWMHz8pbVU\n",
       "dWzgdLcWp1fCbDbjDpkO1J/QbkX9a0S1Wm3vA1mEIhqN+LiONLL3s9/H9qPv85OXPHz1s+VcdlFO\n",
       "VNdqNmn54TeqOdXq5b38S9CYTRz75R+jeo9UQw2d9HR309Pdjcfjwe1yDXiWjsVZmDBOBXO01g03\n",
       "n7KnpweHwxFzAYmnYCqKgtPhwBLhrMtjbRK7jwfo6upCo9GQmZk57FjlWHDJpvr+w2K0optQSJnm\n",
       "BIdb9egNhmBDi0gZTETV0WjDabSgEnB72HPnt0m/+3b+Z1UGX/1MGQtmD88KMhk1/Nd9Vazf2sOp\n",
       "O75C0xMvYt99IOLXp5KF6Xa5aG9rA0UhLT2d7JwcMjIyyMjMHPC8ilVZSbIxbgRztF2yoeuGi1Om\n",
       "UrKLz+dDUZQ+o3vCfa4BBeqOwP6TkGlykZ6ejsViSZnrjAdj+doDxVOZ2LWJU11aPLJmSCszEvp3\n",
       "K7JarVit1mBcX7VEgSFF9PD/+xXaokIeaprDHTcXsWjuyPoep6fp+H9fr+LJtzykffEeDnzlJyh+\n",
       "/4jeM5lQFIWe7m6cTieZWVkYz7jQI0FYmGOE0RRMNVaTiDhlPK/T6XSGFb7Q9Xyyn00HFOxuhcUT\n",
       "PRTlWsQkixTA5YG6g+AYToc7gwldXhHFUhNH2nqtxMHiXMNFbbSgiqiaLKaKqCzLuFwuHA5HsAFG\n",
       "y1traH1rLX+puo0lC7O4YnluTPZSXmLmrluLeKypFgx6Tj7zypCvSQUPg6IodHd1EQgEyMrORqfT\n",
       "RV1WImKYYwBVSBJ906ruKY/HE7M4ZSTE+joVRcF1RjBDCW0w73S62NagEFAkzq8Bizn6LN+BGAsu\n",
       "2WTG7YV9x+HRf+h4Zb2B053RvT5QPIWJPVs40aFFVrToDQY8CegvGyqi/Rst+No6OXjfTzlw3efx\n",
       "Gs3ccm0WHo8HWZZjIuaXXZRDfp6Z/Zf+O0fv/x2+zsiahCert0EVS0mSSM/IGNY+RVlJihPqkk0k\n",
       "apzS4/Gg0WgSlugSr+tUe4vqwjQW8Pl8dHV10dCqw+U3srAadNrkPBQE4clKg1uXw73X+SjMVvj9\n",
       "m/DmFvBFmgSqN2KckE++dJpj7XrMZjOuM1NmEo3aZOH4/3uYwAUX8W5nOd/+chUmY28oQW0Kolqi\n",
       "Xq8XWZYug4TEAAAgAElEQVSj3qskSXzprlJe2ZeO8cKlHHvgyXhcTkJQFCU4czItPb3POTIavWST\n",
       "jXEjmKEkwkrpH6e0WCwJL9aOx3WGsy7V8VEejwcPNhq7zCyo8qM744FV/DJK5+mY7UFYmPHHZIDz\n",
       "p8rc+wnodsBvXoPWrsheGyiezMSeLRxr16HR6lHONHUfDVpf+4CubXt4nEv45n9UkpVhQKfTYTQa\n",
       "g5aoOpZOLZnoXyMaiYjmZhu4/YZC/pZ9Baf+/Dru4ycH/N1kTvhxOZ34ZTmsZRnteK+xmAEvBDPG\n",
       "DNQPNRa9VqMl1tepKAoutxuz2Rz8/+pDgSRJ6A1m6k+YmFnmx3ImH0hxdMJHb8CpwzHZQ7IeNGOF\n",
       "QHsLnn/+icCBepSAH6sJbrkIzp8KT74JhwfWgbPoTVgn5JCltHOiUx+T5J/BGOggl7t6OPjNX7Bu\n",
       "8V1ccmkx06ecO26qf41oqIiqjRa8Xm9EjRauvDiXTm0a3suu5sj//DZu1xsvvGfm6g7XDauSzA8E\n",
       "I2XcCGYiGrCr9ZTh4pRjIfbmdrvR63RotFo8Hg9dZ5ICMjIy0Ol0HGgxkWtTKMg4kw3c0Qzb34Wy\n",
       "WqTJw+u5KUgsktGEJq8I/8b3CPz2x/g2r0Lxy8yfDLcsg5dWw8dHh36fQNEkqh1bOdKqwxCn5J+h\n",
       "OPzD/8M+fT7HMmu47ROFEb9uuI0WUAJ8/o4Sng0sof2ddTj3Hwn7/skoKGroKC09PWxynqIoOL1a\n",
       "jrTp2dVkYEejkYbW8P2e1d9PtmuMBWPPZo6AWItXaN9Xs9kctpXdaAhmrNd0uVwYjUZ6enpQFCU4\n",
       "oxKg06XldI+WFVN70+qVzlPw8VqYdgFSVkHM9gCxd8mOxS/2cJGsaegXroA5FyCfOIJ/3Vv4tq7B\n",
       "eM3tVJZWccel8My7IEkwtWyQNzKYycixYnLbOW03YjUY8Hg8Qe9EvOnauJ2WN9fy9KIf8LMvVKDT\n",
       "jexvHDpHVL3nFUUhEAgQCATw+/34fD4qSiRKa7Jo9V3NkV/8jsmP/zgp+uYOhlo+YjKZ+pSKqbTZ\n",
       "NRxsMeDwmMlPD5BuCqDVgFZKbQNgOIwbwYyHhZmM8ynjtabf78ftcmE8UwsXWjeqKLC/xcqkPA96\n",
       "nQ7F3gm718RFLOPhZpZlOWhVJPPBlmikglKMt30J/55teF56HN3C5RQuuYxPXaLh2ZVg1EPVIIZb\n",
       "oGgy1bvq2NuylHmlZpwOe59+wZ2dndTV7eTQoRNUVVVjtRopKMigsLAw7MEdKQGfzIGv/w+b593G\n",
       "9TdVUVpsGvZ7DcZAInr3bSV8+3vn88UPvkfn7v0Yq0r7NJ0fjSz9wXC5XCiKck4jEp8f9pw00O7U\n",
       "UjPBQ4a+B5tt6GYlPp9vwGlDqc64EcxQRnroqnENp9OJXq8nIyNjzPZCVa+1p7sbjUZDVlbWOdd6\n",
       "rE1Cp1HIT/Oh+Pyw6wOonhdzsYw16t8QCB5i6sEWOlFjPIuoJEnops1FU1KF5+UnCDQ3UnTdHdyy\n",
       "zMCLq+HTl0Fh9gAvNlrIzdCg+Lx0e01oAt3BwdQ7dhxkx45Gjh1rZurU+chyMa2tXo4f70Sj2cys\n",
       "WcVUVJRH9L3q7/478Zvn6TZkcqxyAfdemRejTyIyJEmitMjCoqVFnPJfQ+7jLzLp0R8ErVD1HzX+\n",
       "HzrBZTTuNVmWcTocZGZl9Vnb7pHYdsxEjtXP0okuJE8PyqkGtMc6kTwOCAQITCgnUDb9nPccq11+\n",
       "YBzFMEMZiWAOFqeMZM1EPlmO9MFAlmW6u7txu91IGg3WMNcq+2HvSS2T8txIKLBnHeSWIeVXjnT7\n",
       "YYmFhanGa9QGDGqiR2gHGZ/Ph8vlwul0jqjkYKygSc/C9On7QCPhfu4RKrJcXL0QnnsPugeZF62U\n",
       "TKHatZ2GFh1ms5nDhw7z0ktreOWVdWzatAWTyYjL1YXL5SA9PZv8/CrS0qbx8ssbeOWVN/B6vVHt\n",
       "093YzLFfPc2fC2/gvs+Xo9WMzsPOJz9RwN+khbS+uQbP8ZN9uhWprf4Ga7Sg1ojG835TFAV7Tw8W\n",
       "q7VPRmunU8PmBjNVuT5qczoxHtqIcdd7aLwuAvkTkScvRp52IYG8irDv293dPWYFc9xYmCN1yUYS\n",
       "p4x0/UQxXHEJnVGpFn+fam4O27njcIuGXJtCusmPpvkQ+DxQNTsW24856kQYt9sddKEDwUNZLX4P\n",
       "/X01TuX3+5N6tmMikHR6jJ+4E+9bL+F+9ldMv/1e2iZZeeF9uOsK0Ic7TUxWCtO8fOyUeeaFVzly\n",
       "oAPZb8LhcDN37mVkZ+fQ3d3G1q1rMJtNTJu2gN27N2IwGAkEilm7ditLl87BaDRGtMdD332I/bWX\n",
       "svzm8ygrTky8NBy52QYuuKSMU65LOf7Is9Q88K3gz1RPRv+yCzUeqjY5UQWz/70WK2+W+0x9bGhc\n",
       "ucOhYdtxEzOK3OS5DqI9sJNAQTWemZfjCxBRDHqstsUDYWEOSSz7viZ7pmy4GZVGoxGfz9fbrKDf\n",
       "F9wnw+HTGiYX+tF47Oib9sDUJUhJ6J5WPQM+n4/09PSIWhKqcU21bi/SbMl4WwajiSRpMFxxC5qy\n",
       "ibife4QLJ7vIsME/N/bGssNhzyrl5Yfu5Y23jzNx4kVYzBbmzbuY2bMXUF4+kfPOW8DFF9/MhAnV\n",
       "vPjio3R3tzB//oUUFJTR05PGxo3bI6rjbH93Ha1b9/HRpCu46ZrRDwfcdE0+fzcu4fRf3sLb2jHk\n",
       "76v3WrhuRRC7RgsAAb8fh93epzlBl0tD3XETM4ucFJzaiLZpP/L0Fb1uV23kMUkhmGOEaBqwD1RP\n",
       "ORJLItGCGc16g82odLlcmMI8WR5q0ZCfoWA1Kugb6vAVTkayxPeLEu1nGDpSzGw2k5aWNmDafKTr\n",
       "DzVRYyD3WioxWFmAJEkYLrsJTWEZnhd/yycW+Whqgy37zv3drq4uvv79X+LozGTp5d/A4bEjSTpq\n",
       "aqb1+T2NRoMs9zBxYi06nZH9++sAyMkppKVFz/btuwfdq+Lxsv+bD/BGzc3c+4WaYWXFBjpa8e3c\n",
       "hPe9V/G89hyet17Ct2El/mMHUYbx98vO0nP+pZW01S6i6cmX+uw30nMk9IEttEZUr9ef02ghGhG1\n",
       "2+2YzjRsAHB5JbYdMzIt30n+8VXg9yLPuATOfJ+j7SMrXLJjiKEOXfVJTpKkmLeySzbBDAQCOJ1O\n",
       "ZFkOPs32b4fldrnIye3brNrnhyMtGpZOluFUA/hl5PyJROY4iz/qA49aCpOZmRn2C68mWozk7xKa\n",
       "LRm6vt/vD7rX/H5/nwc2WZaDiR6piCRJGK68Fc8rT6H84yluvewzPPmWhsJsKD2TZ+P1evnBDx6i\n",
       "pSWHz9/9WRqPHGTDgX1cvOQiZNmPPsSH29LSyPHj+7nwwisBWLfubXQ6A9XV55GXV8ahQ/vIzT1K\n",
       "RUV52P00/fo5mq1FTLzhIiZXRzZ2DkCRfcj1W5A/Wk2guwNtxSQ0ecVoMrJB9hHoaEXeuQnF0Y1u\n",
       "9lL0i1YgmSN//xuvyec7b1xE7u8fpPTeT6O1jCxjV71fQ126auhAvd+GCh14vV58Ph/ZZ0RN9sPW\n",
       "YyYqsj0UN74PlnT8VXNAOmtPRSuYY9XCHFeCqR6MAx2QqnUgy/Kw4pSRrJ8shMbzjEYjGQN095DP\n",
       "zDPs/9BwpEXDhHQFq9YLh+vwT15MsjghZVnG4XDE5YEnUgaKh3o8nmDmcarHQyWNBuN1n8b9/KOk\n",
       "bfwL1y2+mRdXwxf+BcyGAPff/wgnTmRy9dWXsnPfJnaue402bSlbtrxDms1GReUUysqmALBjx2pq\n",
       "a+disfSK0fnnX8r69W9itWZSWFjKhAlVbN26j5yc7HOsF/eRRk48/jLvXvIDHropsgYFiqLg3/0R\n",
       "3vf/jiYnH/3y69BWTRkwnBBobca34V2cj/0Qw4rr0M1eEtHfKTfbwHmXTKWruYZTL75G0Z03xqWO\n",
       "WBVRldAaUTV0oN5vbpcLk8lEQFGQAgr1TSYyTTITT713Rizn9hbaDpPu7u4xOakExplgqvQXzP71\n",
       "lFarNS6HVrK4ZNVyCq1WS/oAnT1UXG43pn6uaH+gN9nn/GoZju6C7CIUWzZEMSx4uAz2GarxZjVZ\n",
       "KdYPPCNBPdTUdmtGo/GcwnfVdRsqnqNVbhApkk6P6ebP4frDg1Rnvc95lSt4eQ0Y215l8+Z2KiuL\n",
       "OXZsPxkZuRRUTGd5zSX40nMJ9BzkxIlGDh7ceSZDOZ3S0rOZ1TZbGjNnLqWubhUZGVdhsaRhMBTw\n",
       "0Ue7uOiiRSE1wAqHvvUQm6su564vz8ZkGnqEXKCrHe8//4Ti6MF43afRltcM+RpNbgHGf/kUuvmN\n",
       "eF/7E/4DuzBe+6mIrM2b/iWfn79+EdmPPU/hp/+193OL899zIK+H0+HoTRw6063rWIcJh1vhfO8q\n",
       "FJ0BX/ksNED/3UVjYTocDkpLS2N3MUnEuIphqoSWeCRqPmXouomi/3r9yykGiueF4na5zsmMa2yX\n",
       "yLAopEl2OHkQKmeOakJT6N8RSOqB3KGf02DxUEmSUiYeKpksmD75H/jWvcNy2w4aj+zh0cfXYDTq\n",
       "mD17BRdffBMeTxdTZyymPMOHM5BFWcUk5s9bTk3NfDZvXotef+59mJ9fRGnpNLZuXQuA3e7k/fc/\n",
       "4sCBA8HfaX11JS17m+D6TzB35tBuQHnvdlxP3o+mrBrTPd9GW16DosDJdlhTDy+ugsdfg0dehSfe\n",
       "gL+shc17oedM6Yy2oATTnf+JlJGF66kHCHS0DrlmYb6RwhXzsCtG2t9eG9mHGgdUwyDtTNKbBxtN\n",
       "PVbmaXagD3hwlc3Cc6ZvbmgSW7i+uYMhXLJjhNAYUiAQoLu7d25dIkdujYaoRNORKBRZlpH9/j5d\n",
       "VxQFDp3WMqPUDw07oXgyktECUdbLjYT+DwEOhwNFUbDZbGi1Wk6fPs2mTdtpajpFVlYmlZVlSJKP\n",
       "2tparNbI40+jwWDxULX9mhoPDWeJjhaazByMN3+OU3/8X7ZucNLcYuLW275ITU0hra0ncDjsVFZO\n",
       "QSN7mHCskQ7XBNL1PbS3H+eCCy7H4ehi27Y1zJlzYZ/3nTp1BmvXnmDdundwODo477xF7NlzgoqK\n",
       "CjRuL3u/9RBvzfwM3729ZND9KYEAvg/+gbxrC6ZbvoC2pBKfDHV7YdPe3ozvyaUwpbR3xJlBB25f\n",
       "74SWI82wchtUFMCyGVCcq8N4xS34Nq/C/ceHMH3qK2hyB8/Kvfm6Av7w1gpyHnueKcsXjkqjE4fD\n",
       "gclkQqfT4fPDzkYj062N2FoakM+7GJO+NwMhtJRKLacKDWUN5fkQgjmGUOspFUUJ9k5M1EEzGoLp\n",
       "9/vp6upCp9MN6X7tj1qvGPr5tPRIaDSQLXVA+wlYeB2QuGsLdcWpDwFmsznY43bLlt20tChotSXI\n",
       "ssS2bfvZseMYiiLx97+v57zzSrn22ivPGVGWzKjx0KGSPNQavdB6vUSKqLakkgcPyxzc1czNt32L\n",
       "PScLqa6AAwe2MXHieb0iYTBTYD5Jvb0YrcHOyabDXHLpDWi1Otavf5v6+g2cd975wffUaDTk55fz\n",
       "5pvPcNttnyM/v4TTp49z4MAhtE+8wr7sWq6770LSbQMfZYrHjedvT6F4PZjv+TaKJY1tB+C9ut4u\n",
       "Rdcs7BXDcB9VRT7MmwReGbYdgD+9B5NL4Ir5YFpwERiNuJ/9FaY77kOTkz/gHirLLLDkAjr/8Fcc\n",
       "9ftJnzV1BJ909MiyjMftJjsnB4CPTxqZYHRSdPJD5OkXgf5sul64hzY1hKN6PlQRDb3XPB4PFosF\n",
       "u90+YsE8fvw4d9xxB6dPn0aSJD772c9y7733jug9Y4E0xCGXLHkcMUEtLzAajbjdbrL6tYOKNw6H\n",
       "A61Wi8kUu96Wit9Py2sf0PzSG3Rt3onn5Gkkgx5zRQnWBTPIuu5iCi5ePKzenK0tLb1p7CHisuGg\n",
       "luKsAKXNqyEtB6msFiDYGSfeT5ZqGj3QZ87o6dOneeqpV/D5TEyfvpDs7N5UTb/fz549dZw4sY+K\n",
       "iloOHWrAYOjm7rs/QUVFBUCfJ+h4o1qIsbwH4NxG4Or/Hm48VP1MIm0YAPDoo7/m2We3UJVZxF0z\n",
       "p7N/2q3saeggzfc6l11681kvjs/D8aOd7Dm+nUwrzJ+/tDcZxe1i7drXmTRpKuXlvclA3d1dbNjw\n",
       "FjZbOkajlnnzluH3+zm+8S2yf/scu7/wMPd+pbpPP9dQAt2deF54DE1xBYYrb6WlR8vf10MgAFct\n",
       "OJvRGyluL7yzFQ6cgJuXQekE8NWtx7f2DUx3/ieatMwBX7tzTw/v3fsbLq3oYspvfpSwZDRFUejq\n",
       "6sJgMGCxWGjq1HKoRc+F3a9CeS1K7tDxRpfLhV6vPyeRTb3X/H4/P/jBD3jxxRcpKSlh+fLlLF++\n",
       "nHnz5lFcXBz1d6u5uZnm5mZmzZqF3W5n7ty5vPrqq0ydmrAHjbAbHlcxTLXv62hZF7G2wjrXb2Pj\n",
       "ohs5+vAfyb3iQuatfJoVndtYeHAl5Y98H3NFMce+9QDbL7+Tzg11Ub23arkYQw52uxu6XBJF+nbo\n",
       "Og3Fk+N2beFQY3qBQACLxRJsS9ja2sqqVXuYMuVS8vImsmnTarZuXR0s3Zg+fR7Tpy/l8OHdzJgx\n",
       "naNH3Xztaw/y1FN/xO12x3XPiWK046GrV6/m6afXYLNN4F/v+TLa7FwqD71Ca+P7NHVk0dPTcXYt\n",
       "vZEMbQeHG5spL5+ELPdOuDGZzMyfv4KPP95OZ2crgUCAuroPqaycyIIFy2hvb6O19SSS7Kfxyff5\n",
       "e/kKPv/FKQPuKXC6CfcfHkBbOw/dVbexYa+W378JMyrhM1dHL5bQO1j72vPhyvnwp5Ww/RDoZy9G\n",
       "N+cCPM8/huId+H46b4qNptkraHvrQ7ynho59xgqv10vgTIcyt09ib7OB2b5NSNn5EYklhE/6UT0f\n",
       "aqOFX/ziF2zYsIHc3FzMZjNPPPEEc+bM4Zprrol6zwUFBcyaNQsAm83G1KlTaWpqivp9Ys24csnq\n",
       "dLpgx5DQEpNEEStRURSFIw8+yfHfvsDkh75D3nWXAL1fjK6eHvQGPYXnz8W/YBb5n78V59vrqP/0\n",
       "N5hwzQpqfvo1tOahrRuP243BYOgTa2lo0VCeE0B7vB5KpyFpE/eErJbAGAwGAoFA0GK22+2sWbOb\n",
       "tLRJWCw2srImUFU1hbq6daxZ8w8WLboMi8WGTqfH74enn/4VkyfX0t7u47HH/srbb6/n61+/h5kz\n",
       "ZybkWhJJONda/3FU/eOhoRM1IqW5uZlHHvkrJlMl8+bNx+frZqO/m9a6D/A5enAWX88/31lNbpqd\n",
       "oqJyqqtnc7S7mYnZVvyaTLweN3p9b5vCzMxspkxZQF3dWvLzK9Fo/Eya1Pu3qamZyZ492ynf66BH\n",
       "U0zlNTORcAHnWpb+Y4dwv/w4xktvwDNpIX9+r9c6/NzVkB0DJ8i0cshJh2dXgsMNi5dchtJxGs/f\n",
       "nsJ4y+eRpHNtEUmSuP6mavatX0jpH/5K1ff/Y+QbGQJFUXDY7VhtNkCi/oSBcn0zGfbT+KesiPl6\n",
       "RUVFeDwefvrTnwYzwtVckeFy5MgR6urqWLhwYYx2OXzGlYUZymjEE2OxphIIsO++n3L67ytZ+OGf\n",
       "yb/+0mD2q9vt7tMQXpIkkCQKb7maRZv+hq+1gy0X34H7+Mkh11HLSVRkPzR2aCi3dEHnKSjsm4of\n",
       "r89T7UAkyzLp6el9sl/9fj+bNu1Cqy3FYrEFX2MwGFm4cAUFBZP48MM3Wb9+JXV1q5g2rZbbbvsc\n",
       "Nlsan/3svVx00bU0N7v50Y9+y5NPPhXzvScjA3WO0el0wWxjh8MRFNOhsiQDgQD//d+/5PTpXLKz\n",
       "9UhSDwcP7qGici6Tr7yN+ROKuWdBBfq8G6muvRGdzsaqVa9Qt+ND5tdWc8puxif3JpeoVFbWoNFY\n",
       "2bz5HWbPXhL87+XlE+lpaGLv2+8iX3U9U2vKOHCg4Zw9yft24H7ptxiv/3eaChby639AQRbcfWVs\n",
       "xFIlPwvuubK3w9HaegnDVZ9EcbvwrX59wNecPzeD+smXceKpV/C74u/dcLtcwUbvxzt0+HwBatpW\n",
       "4598Pmgiz2eIxrgIrQmVJGlENZl2u50bb7yRhx9+ONj7eTQZV4I50gbssVh/pGse+O5D9NTvY+4b\n",
       "v0efn4vD4aCnpweDwUB6evqAcRF9VjrTn/4FhbdezZYVn6J7x54B11AUBc+ZhB+Vxg4NOTYF88l6\n",
       "KJ6CpIvvvDu1pZ3D4cBsNgczYEM/w40bt7Bq1Q5OnGgIO9WiunoabW3dfPzxBi644AqqqqZRWTmF\n",
       "kpIadu5cz6WXXsScOcvQaNJ4/fWtfPe7/5V0JRvxRj3c9Ho9RqMR2W/A6e6NVamu3NB+uR6Pp0+/\n",
       "3D/84Wn27dOTlqbDbJaoqZnPsmXXUVpaxYlTDdRcfxfmw1tYln2ILQdtFJbNp7JyGrKsZW/zYfK8\n",
       "R7B7DLjdnj770mp1aDQSfv/Z2l7F7UX/1i42FJZyxbWVZGVN4PDhNux2e/C77ftoNd7XX8D4yS+x\n",
       "xTON59/vdaFeNg+0cTjtMm29jee3HYQNe3WYbvwM8vYNyPvrw/6+RiOx/OZpnM6p4vRLb8Z+QyEE\n",
       "AgEcTic2mw23T8OB03pmO1ahVM4EU3TiE6lgxnIik8/n44YbbuD222/n+uuvj8l7jpRxJZihpKJg\n",
       "Hv/dn2l7dx0zX34U2aALNkm3WNP4aIeTXz7ewJe/u4s7v7qDL36rnvsfOczbq9rp6PIF1y+/99NM\n",
       "euBb1F33eTo3bg+7jtfrRRPSbF1R4Eirhop0J7Q19oldxuraVEIbwGs0GjIyMsJmMnd3d9PU5GPG\n",
       "jItxOr28//7LHD9+tj7P7/ezceNKJk+eyKxZy9ixY13wZ7W1swgEdBw5so+5c2vx+bQ4HAoffdTC\n",
       "gw/+atyJZih7Djj48vf28aXvHuT5V1poaSMYD+0/jqquro4XXtiIVpuB232CSy65lUmTpqPRaDh1\n",
       "6iharZG80koMl95A9v73WZTTyDtboeHoYa644ka0WiuHGzfQ0q3BdybTF6Cl5RQORwvz51/Cjh0b\n",
       "g3s7+PBzuGyTmHHJeTQ3N5yxlrM5dOgYihLA++7f8G18H+lT/8nfDpaz7SB89urecpF4km6Bf78M\n",
       "1n8MO06lY7zhbjz/fJZAZ1vY379wYRqbyi6m4f/+NKwetZHidDoxGAxodXp2NRmplI5gs+pQJoRv\n",
       "LxhLRhrqUhSFu+++m2nTpvHVr341RrsaOdof/vCHg/180B+mIqrrx+v1nhPfScTafr8/qsxDla7N\n",
       "O9hz74+Z8fff4EuzEAgEMFusvPdhFz968CCNJ13MmJbOpcsmcPlFE5h9XgZms5a6+i5++8xxjhx3\n",
       "UVlmJj1Nj23KRGy1NdR/+htkLZ6DqbhvDZnD4UCv0wUTfjqcEk2dGmq925DSs5HCJAqo7rxIxv8M\n",
       "hCzL2O12AoEANpstbPMBta1cff1BvN5CcnIKKS6uIDu7iPr6Tdjt7RQUlLFt2zrAyYIFKygsLKGh\n",
       "4SAej53c3AIkSSI3t4AdOzZSUzOFvLw8Dh8+ikajY9++JtraDrN48aJhX8dgqJbZaLTri4SSQhM3\n",
       "XJ3HxHIjRxs9PPnCCbbUdZGRrqekqNd1q9frMRgMPPjg7zhwwI/R6GfKlKksWHBRMGty9+71FBRU\n",
       "kJ2dh8ZkRlNSiXXL33EaFTYf6OCC8xdRXlZGS3s77Yc3YM2rxaD1YzDoqav7kIqKKqqra2loOIhO\n",
       "J+Fav4cT72wi597PMKkml4MH66msnIzRaOZYwz7K6lei7W7Dfu1XeWZDBlk2+ORysCVowpfJANXF\n",
       "8PIaKK7MJjtdwrfmdXQzzz+n3Z7fL+NMK0B56w1yJpdinlgW8/34/X7sPT2kZ2RwotNAZ4+fWfZV\n",
       "BKYsjcoVCwSbvEdybimKwnPPPcfdd9893K0DsG7dOu677z5cLhePP/44jz/+OBUVFVRXV4/ofaPg\n",
       "R+H+o7AwU2BNucdB/Z3fovIX38Q/IQuTyYRXNvKdn+zn7Q9a+NE3J/HL/67lhqsLmTEtnYpSC9Mm\n",
       "pXHF8gl89TNFPPfr2ZQVm/nyd3fzxJ+O4fEEyL10KbW/+wk7bvkKPfV9x0yovSZVjrZqKMv0Ip06\n",
       "DMXhsxJH8nkGAoGga9lkMg3aSEKSJFpaWmhslMnMPJvmmJ2dx7Jl19PZ2c0bbzxHR8cx5s696Mxr\n",
       "NMydewGHDx+gvf000Nt6rbp6Btu3r2fSpBrmzVtIenoaZWW1vPHGVp577vlhXUuq0/HBRg5+7Wdk\n",
       "16/jU1fZePr/pnP58lz++GITX/7eXrZs70JRFF599e9s2dJBenomhYXZnH/+xWfqmo3Ispe2tmYK\n",
       "CsrPJGt5kM02tBf/K8rO55ldYOPNzdDt1DB37oWYMrLYvXMjXq+X5uYmXK5OKiqmoNFomDZtDjvW\n",
       "fsDRJ17Cfu0nmTM3l5KSchRFw8mTR5HsXQTWrGNPazd7zv8qv//AwpJpcP2SAeZzxpG8TLhlWa9o\n",
       "dky5GMliw/fBP875PUVRuOqSCawvvYRDv3w2Lntx2O2YLRa8AR37T+uZ2f0+Ss18iHMoxe12j+ih\n",
       "WWXp0qUEAgG2b99OXV0ddXV1XHHFFTHY4cgQgpnkayqKwp5v/wLrolnkXrOczMxMTjT7+dJ3djPr\n",
       "vAx+9eNaplSHj0eo69msOv7thmJ+/78zOHnKzRe+VU/DMSe5l13A5Ae/w/Z//Q9cRxoBgqUG+jNZ\n",
       "qD4ZmrskSj37IacYyRS7TjmqVdp//uZg7hxFUaivP0Ja2rluJYPByJw5F3Lo0L5gL1kVmy2NqVPn\n",
       "sX37+qDrr6ZmKoGAluPHDzB79jQyM/MwGAJUVy/md797iZUrV8bsWlMFc00F1qkTaXnpTermfoL9\n",
       "d32Lmc6PefQnNdx6fQG/e7aRr/+/7TzxxEpcLj/V1QuYMCGLkpLKM/FQiZMnD5KXV0Z6evoZEdUj\n",
       "SZZKZgoAACAASURBVBo8BgPtZZUs0hyn1r+DNzYpnGxTmL/oEiTXCfYeaWT37o+YOHFqMGkk25RG\n",
       "x9/Ws2NqLZfeMj24z6qqqexb9xYtrz7NdlnLM02VrNmlcOcVMHfSiHqHj4jKQrhsLjz3voT/8k8j\n",
       "129GPvTxOb9nsWiZeMeVdO05jL0+zFy0EeDz+fD5fJjNFnafMFAZOIRtQhZK+oRhvV80CT/d3d1j\n",
       "tssPjDPBHCrpR0126erspK2tjba2Nrq6uvCcmUwei/WjeR+fz0fjO2tof+dDpj3wbSwWC4eOOPnm\n",
       "j/fw2U+VccdNJWi1kQXiAbKzDPzX12q45foivv7Dj1m1vo38Gy6n/Gt3UfeJL+Jr7wpal+pn1dih\n",
       "YUJaAOPJj6F02mDL9FlrKEIze202W5/5m4Nx6tQpOjr02GzhM+927drC0qUX4XC4OXy47wzFiopq\n",
       "DIY09u3rjd1KkoaZMxeyb98uLBYzs2dPx+Gwk59fSG7uTB577IU+fUvHA6aSAoo/dytTnnuI2R/9\n",
       "jeyLF3Pk/t/x0cIbqapfyWM/mkhn8xt8VNeJ1z8Nr/cYNTWz+vztGhv3U1ram0V9NqlIx6lTDeSX\n",
       "1pDxL7dTrT/B+Y6VrNoBHx/TMWPexeyvW0VLSyNFRRN7i+LdHrb/58MYis+neHEGstwbiw/Yuyk4\n",
       "UE/bvn286rbQaL2E3AlVXDuniYKsUfnY+jCnBqaWwUtbbOiu+zTefzyD4ugtrQj9flx/TTFbSldw\n",
       "6H+fidnaiqJg7+nBarXS1KXH4/ZR7fuYQGntsN9T9iu09Wg42AT7G+Hoqd5SmnCM5VmYMA5jmKp1\n",
       "oQ5ZDe0O0t7ejtPlQm8wYDIa0en1KGfchQ67He2ZlPyRBLQjcVmo/VHdDgeH7/k+1T/6CplzpnPy\n",
       "lJtv/GgPX7qrguVLcgd9D+g9rFxnmqeH9tGtrrAyd0YGD/z6EB5PgKWfWoz7yAmO//o5rFdfiMVm\n",
       "OzOgFnYc01JtOIHV3xXs6hPpWuFQW9o5nc7gZJhI48iKovDyy69z5EgHZrONtH5dVZqbj9PYuIuF\n",
       "Cy8lP7+ErVs/JC+vAJPpbKOK7Ow8duzYQFFROQaDEZPJzJEjh6mv34Ki+Ni3bw979mxhypQFNDY2\n",
       "sXNnHUuXzotZs4tkj2Gq+P1+tCYjmXOnU3DH9aTNnMqpF15j0w8f5B9NndhyajDbKjl09CiTpixD\n",
       "r+3mwIHt7Nixll27NiHLbk6ePEpPTzcmkw2j0cTOnWuoqppGemY22rJq0vVeihtW8rGnnGbnBDw9\n",
       "+3B5uplYWYvi91L3ncfpVMws+9ndOB1d2NuayGpswLfpfY5m1/LeCQ+yNp2br1nC5FIDHR0nqKoq\n",
       "S4qm+1WFUN8Ap5VcqjPtyFs/RDt9PkAwHmgyadnjycXyx99SeNPl6DJGLjQejwfZ50NnSmfHcQPz\n",
       "HCvRT5kLhujcpD65d//vboPXN2s40KSjpVOiqQ32HgOnp/ca+3P06FEOHTrEVVddNeJrGWXCxjDH\n",
       "nWCqST9qckKo285oNGKz2TCZTOj1+t5Ue5MJi9WKTq+nu7sbz5n5kcNpnqxmgA4kmOrPHQ4HBoOB\n",
       "zhffxH38JDU/vg+XO8A3frSHG64u5IoVkbcoUedd9j9EsrMMLF+Sw++fP87RRheX33c5re+vx3D+\n",
       "TDJzctBoNHQ6JU50aKjtWoVUXotkGdzVMtBaKl6vN1gCkJaWds6w6qFobW2locGPRpNBQ8PHNDXt\n",
       "Jze3CIOhNxlh8+aVTJo0jaysCRiNJgwGM7t3b6SsbFLw72UwGPF6ZRobD6DXm9iw4T0UxUd7+2mm\n",
       "TZtFYWERBw4c5tixekDLiRMnaWk5zZIl82MicqkkmGrjA0mSMJUUkHfjFfzkvffZvstOfmc6C6eb\n",
       "KJyUx7pN+9m8dRflZUVYzApVVdOZN285aWkZ2O1t7N69kVOnTmC3dzBr1uJgez5N9gTM1dVU9uzA\n",
       "cXgPm072kG60YLVB95r9OBtPM+9r12HqOI7p2CE++vA9PBOWsiXtEjZ8vIN5M6uYkNZFVVkRaWnp\n",
       "tLd3kJ9vTYo+wZIEk0rg7S2QNnkSOQdWgexFU1yJz+cLnjtllem881oD2Sf2kXf5ksHfdAgURaG7\n",
       "qwubLY3dJy0UuA9SWGBGyS6K+D08PvhwV28c1umBmRPhinkyiyZ7mT9Fz8yJvb11w4klwP79+zl9\n",
       "+jQXX3zxiK4lCRCCCX0F099vEsdAzarVFlBWqxWfz0dXVxdGk2lYGbbhGpqrWWh2ux3obQWlcXup\n",
       "/7evMf33/4MhL4cHHjtEfp6Ruz5ZGpXIuAcReItZy/IlOfzln83U77Nzydcup3vLTpwfbCJjwUz2\n",
       "N2vJ1feQ03MAqucPuW64a4OzFrPX6w0Wyg/HCti2bS+KUkJ2dj6TJ8/E5fKwY8cabLZM2ttb6Opq\n",
       "ZObMxcHfz8zMoaXlNJ2dJ8nPP5vZm5WVy/vvv86pU4eZPft8ZsxYhCTpcDq7mDv3fAwGKz5fgMLC\n",
       "Ko4d28++fYfJzDQzc+b0cNuKilQRTFmWg4Kp8sEHH/Dsi1sorVrOosUXcOjDZ1EOHuDqy5Ywcd61\n",
       "vLdey9EjH7Fw/hImTMjGZssgP7+c8vIp1NevorW1jaKiCmy2s5aUpNOjLSqjzddKpbmDHEMJe4/u\n",
       "YtLyZRzMWkBDm4l99jz26efSFLDgN2vI0B9lYqGXxQsX4rA7aG9vJi+vGFkGt7uNkpLCpLAy9bre\n",
       "mObLayQmXViL/q0/oKmcjN9kDZ47VouW7d3ZmJ98hOI7rkNrGX7CjPPM0PR2bwZtnT5msROlclZE\n",
       "AV1FgR2H4fn3wKCHf10Ci2t7Gz5oNb3docL16u1PfX09brebpUuXDvs6kgQhmHD2wAoEAsiyHFWJ\n",
       "hyRJvYKg0dDR3o7RaIxKNMO5LcOJiUajoeGBJzDkZlFyz828s7qVDze189/fnIxOF51l6/F4BrWI\n",
       "DQYNFy3O4fV3T5OVFaCspoD9X/wh5mmT2a8tZ6Z3M7q8UqSMoV3AHo+nTzu9/haz2nxgOHR3d1NX\n",
       "d5KcnCq8Xi8mk4kJEwrJyMijrm4VDQ27mTNn8Tlu2gkTCti5czPZ2bnBbkA7d27Bbm8nPT2L2bMX\n",
       "oygKGRmZ7Nq1jfz8QvLy8mhoaCQtLY2ZM1ewe/dGtmzZxaxZEykpGXyM1FCkkmCq7fKg92Hoa1/7\n",
       "GR0daSxYcDU9/i1IxRO49pJP4Xv1Q6yHdnHe0jQOtXWyqb6Izi4/ebkGzGYtWq2OI0f2MmPGgv/P\n",
       "3nmHt3WeZ/93Dg72JghwgCDBPSVKlKhpWZZtWR6xE9d2dlO32W3TNnHbNG3zJW1Gkw5nKWkbp850\n",
       "HMcrnrJsLVuWbG1Sg3uT4AI39jzfHyAhUqSs6cSxc18XL8sAzniB97zP+6z7prn5MCqVDrM5Y8G1\n",
       "Gk6+SjJYiOKRZ/EHI8SzBGoqCiguMlGYr2ZFicDyUhN9HS+jlkJs3HgTarUGk8nC6dOHKSgoRa3W\n",
       "MjDQQ26uNU3vN1ew8rsyoAZtSi7sqWNaVq7KRH7xV1C9GtW8KFNBaQav/KYJy+QAmVvWXNZ15moC\n",
       "VDoLjQNq6gN7UFatuaiq2OkA/GovdA/D3ZtgfRXoZ4vk5VCAeG87ye4W5O4WEv2dJMdHEbQ6BM1i\n",
       "T/7YsWOoVCrq6+svaxxvIfyhrWQ+rqRKVq/XY7FaGR8bIxaLXfiAJa4ryzLBYJCZmRkkScJsNqd3\n",
       "cNGxSQZ++CuK/vHTjI5F+N+f9fKPf12CWn3pP9fFjFOrUfCVz5eT41Dw051hqn/87zQ+/Apm2Ydm\n",
       "uh+yiy75uudS2nkm1LQNXH7hVE+PB0nKXrTwORw5uFzVDA8PLDlOtVpLZeVqTp58DYDm5gYmJz3c\n",
       "cccHUSgkPJ4UtZpKpaawsIKWlpNYrRZqaioZHOzFaLRw443vJxqN8K//+l2Gh4cvewzwu9NEvVJ8\n",
       "9atfp6cnSknJWsbGDqDVali9+gZytmykfPv/I2PrNTQ9+AA17Wf4VP0MKqXMd/+vjwcfHmT3y2dI\n",
       "yirKympZt+4mmpsP0dOTKqaamonx5JNHOPPoMcy/ehjnB2/jrm9+nkBgmkh4mOj0BDZDAo0K9Hoj\n",
       "Y2PjWCx2VKrUim40mrBYHAwP96LRaNBqHXi9E7M5eDmtbhMIBAiHw0Sj0UsWRL5S1LhhWSE8NlKH\n",
       "nFcCu59YcH1Hpgrpfe9j6MHHiM/4L+safp8vVRU7qKE4chp9cSmoLswZfaob/vuZlCf8idsgz54y\n",
       "krFDewg9+B8Ev/PPJA7shFEPxGMQDpHsbUOe8C59H1dB2uutjLf2NvdNxJUuXFqtFlmWGRsbw263\n",
       "X5LHEIlECIfDafWUc72/vu0/w/HurWgKnHz1G6285+Zsit2X385xceOMYdCrGBjy8WDcQt29n8B0\n",
       "4AmSmwtRXGTv1nxVjHg8jk6nIxKXePTlJN3DSe669vK8y1gsRlubl4yMuvR15pe6j452s3nzbZw4\n",
       "cQCdzoDFstAbdrtL6e1t4/XXdzM1Ncq1196KWq2jrGwFLS0nyM5ONY4XF1ewa1cL09MTVFSUcOZM\n",
       "M319pykpWUV/fwtdXaf4i7/4LI888vO3vId4NdHY2MgLL5xBq80nHh+huLgGUZyioKAMAEGhwLJl\n",
       "LapoExU48T39AoWTPmo3r2HEXMpLx04zPK7mZHsPGVYlyeQKXn79RYxyJ4XjXkKeZ6gvrWT5v38e\n",
       "ZWaqzLWycjVdXaeoWHYToz0jOFyZtLaepri4mOnpybR0GUB+fgmdnScpLq7GanXQ0dFJeXlJOnp0\n",
       "rvTZXOvUfP3QS5E+uxzcuBIe2gO7Mj/AjY1fI37iAMq6s2HLO/9sBU/+chk533mIii9+8pLOHYlE\n",
       "SCQSTMRsyCE/hSY/svWNG/xjcXj+MHQNwR/fCM5MSPqmiBx8kXjjIRQlVSivvRWFu4xYMrXBV11E\n",
       "NM7n8/02yQV+63jHeZjzq0WvdJc5JzE1Pj5+UXRqc5W5kUgEg8GQJkmfj9jkDJ4HH8P9dx/jwJFJ\n",
       "BofDfODOi0/an4uLXQDCoRA6nZav/kM5k36YUVkoLUnQ8s1HSM4qvLwR5halQCCAKIqYTCYauyS+\n",
       "9VgCo07gvnskyvIub7oNDQ2RSFhRLKGOMjw8QDIZZvnytVRXr+fIkT1El5BYKilZxoEDu1m2bE06\n",
       "NOtyuRFFif7+LmQ5Jf+Wn19GS8tJ9Ho9FRVlNDefoL+/k4qKNWRl5dPfH+Hv//7zlzWO30ckk0m+\n",
       "/e0HiUZNqFQiOTnF1NRUIQhKbLazxWdebz8qtZH8W26g9L++gPufP42QTKB95tfY9j/InwaO8p7x\n",
       "Haxve4b1jTu5pa0V++n/pdg1if3ua9n0b19IG0tIbXJkWSQ41c2UykFHcxf97SdYv/5GVCo9Hk9X\n",
       "+rNZWbnIssDIiAelUkUkosTrPesBvZH0mSiKbyh9drU8UVGEe66FnlGJ43V/SXTPUyQGe9Pv220q\n",
       "lB/+MIM/fOSSvExZlvH7/YgqE91eBSviR5Ddy97wmCk//GhHqqjn07dDrjlKdO8zhP7nqyCIaD/9\n",
       "RTR/9FGkkmoESXlJfZg+n++KyNbf6njH5jDh6rBSqFQqYtHoG7ZUJJNJgsEgoVAIQRAwzLZtLIXe\n",
       "7/wEVaYV2z2388VvtvLZTxbhzLn8e7wYCkBZlpmanMRkNqNWS2Q4bYx19WOUffhfPY2vsZnMm86f\n",
       "xJ9PaafT6QhENfxiV5LeUZkP3yixqkxEoRCQE4lFNGEXg8OHW5CkvHQ1bDQaTfOanjx5EJcrRcRt\n",
       "sdiYnvbR39+Cy7Vwl3vy5OvodEo0GjVZWWfzkJKkpr29gYKCMgRBwGKx0tx8guzsPLKysujp6WVw\n",
       "sJtIBMJhPxqNGY9nEEEIpvX6LgVzns7FFFD8LjGXw/zRjx5k3z4vyWScgoK1XH/9JiYmurBandjt\n",
       "Z0sl29uPYrXmYLenaBaVVjPGlVVEV+ZDvoOa67eizcnE6M4mo66CgrtuxXbdWo5PdlK2bDk5OQvp\n",
       "4QRBQK3W0dl1kjK3iwOnO9FrjJQbZCRjBp3dLbjdZel7FQQFw8M95OUVIssKZmZGcLuXyDcnExCY\n",
       "QpwaQTHej9Lbi2q0C81YF5qxblTeHqTxPoSJIZIzY8RDQWKIJAXFFedDJQUUZcd5+piB3GVFGF76\n",
       "P6Rl9Qiz87qoJov9vz6BxjtA1vUXl8sMBgLICJwatlAROoKlsgqU5/cEu4bgZ7ugvgxuWQNC92ki\n",
       "v9wOSiWaez6BsnoVgnphKHd+xfSF8Oyzz7Jx40Zycs5TRvv7gz/kMOdjfi7xSs9jsVpJzBqN+ZhP\n",
       "JA4pJps3mnSJUJiB/30Y92f/jMeeHaK0UM/KZVe+W7vQGGPRaFqxIpGEEb+CmxztPHHSwsk7P8v4\n",
       "7tfo/+GvFh13LqWdICg42KTg+7+JU1kg8BfvVpCbKZD0TRF49AGCzzx0yfc+NjbG/v3HaWzcz8jI\n",
       "2R25LMv4fNNMTw+Tn1+Wfr22dg3BYISenpb0a319nUSjM1x//R/R399DIOBLv+dyuZFlCY+nB0jl\n",
       "Mp3OYjo6UmQGmzdfi0olUVZWjc2Wx8zMKEplFo899hINDUuT179dMDIywo4dTfj9Y6hUdmpqVpOT\n",
       "Y2doqJf8/LMbkmQyychIP06ne9E5BgY6cBZVoK8qxnJNHdbN9ZhW16DOdVBQUEk8HsLvn1ry+nl5\n",
       "BSiVOjo6T6GKd+OsvpbTiQqsoQCJ0T7Gu5sgkYp+FBQUMT7uJRgMYDSa8XqD+KYmEHzjiMMdKDqO\n",
       "IDW+iHT4N0gdRxBnRkFSkszMI+leTrx8A/Hq60hUXYtcXI+QU4yk1aPxjWBo3oemaR8MtBCcnryi\n",
       "fGiGEe7aGOE3vSV4y28i/OsfIs8SMphNEpY//1NGf/wo0bHJC55rjgR/YMZMRrifHLcdzsPEJcvw\n",
       "WhM8+nKqsGdDcYDIb35M9IVHUN/+YTR3fQxxXiHWwmMvzcP8A3HB2whzocOLbbS/GAiCgFqjYWpy\n",
       "ErVKhWJWqHo+kfhcu8UbeXyDP32CRCiE6UPv5d++28EXP1uKyXhlubJYLIZinvLIUvAHAkiz4aqh\n",
       "KYFwMMUOUnnztfzwkREyt24k8R/fRFfmRl/qThOg+/1+FAoFBoOBMZ/EQ3sEZoJw781KKvNFiMeJ\n",
       "vLqTwGM/QiosR7f1ToRLzP11d/eTTLpRq820tBxjeLgLs9mOTqenufkEJpOB3NyzNHmiKGKx2Gho\n",
       "OIDTWQgIHD68ixUrNmC12giFIoyM9J1zjILOzlNpL9NotHDmzDHy8txkZNjo7u4hGg2xYsVmvN5+\n",
       "Bgc9xONJ2tpOc911Gy8pSvH75GF+/ev309QUJplMsGbNB1m2LJtodIpAwEdpaUrUeWpqjLa2BkZH\n",
       "B3E48mZDn6r0OU6ffpXly9cvOV6PpxdRjBMOR1GpJMxm26LPqNV6XnnleWpq6ijKtaHWqulOFBCV\n",
       "VYz1HKdI9iHNjKIMTuIfHyUw1E6WHCYy2Itm9ARZUgyQkfVWklnFJN21JHPLSGbkEdXbCSktBAQD\n",
       "QVlLSFYTRUNSpUWhNyGY7cj2fJLOctAaUfq8aAZOo4yHQWciIaae82g0uiCEOz/tcy4SiQRGbRKH\n",
       "VeKJTjclygHUHUdRVNSmSEWWZbH7iWZobiLvXeeP6sz1XIZlA8MTAnUWD0J24ZKfjcbhyQPQ4YF7\n",
       "t4Fj4hSRh7cj5hSguecTiJnZSx43h7k15GJ6zx9++GHe+973otdfPQrN3xH+0FYCZw0mXLjR/lIg\n",
       "iiKSQsHU1BQyZ8O9Op1ugXGMxWJpEd8F95VMcuZj/0jxl/6KXx5M4HZpufHay+N+nI9YLJbuI10K\n",
       "siwzNTWFyWRCoVBwekBBfrgZU44drd3BprUZ/OCxCbK3rCL0pX/BtH4FcbOeeDyOXq9HqVKz94TM\n",
       "UwcSrK+M8651IgatSLThNQIP/wCQ0b/3k6iXr7lkY5lMJjl4sAWrtYzMzCyKiqrx+fw0NLyM2ZxJ\n",
       "e/sJVq5cn66YnINWqycSiTIw0MrMjA+lUqC0NJXXsVisnD59lJwc1yyJQRSVSk1bWzNarQ6NRock\n",
       "KfH7ffh842Rnu9DptBw7dginswyr1cH09ACiaKSnp5uZGS+bN2+6pDH9PhjMAwcO8MADuxBFNTpd\n",
       "HkVFxaxcWU57+1H0+kyGh/toaNjH0FAn/f3NSJKSWMxPa2sq5xuPJwmFZgiF/JSULE2peObMEfLy\n",
       "3OTnl9PYeJC8vCKkcwrMwuEwTU1HqKhYjlZrQKtMkmsVUOgdHGrqJJ6/mZg5n6Q+A40xg5aBbgpq\n",
       "NiA6SmgLyeSs28q0vgCvYGcwZKJvUkWnV0XriIq+CSVen8REUMFkUMFEQMGoT0H/pJL2URWeKYmp\n",
       "kIJYQkRl0KOwO0lmFSGGfCh7GlDGQkjWLJSa1DM+t7ZEo9G09zm/tkEQhLRRzcmU0KnhmeFqimeO\n",
       "oh7rQVFUiSSJ+HOKCP3H/WS95wZUGUtHmELBINFYkqZRK2ulBpRF1Uv2W47PwM9eBL0WPrApjHLf\n",
       "I8QP70X97ntR1m9GWKIu4FzE4/GLNpg/+clP+OhHP/p2KIr7g8Gcw9wkPrdv8EogyzKJZJJwJEIy\n",
       "kSDDZluSRu98Bmx81wEmXz2G6TOf4jsP9PDFz5Wi1Vy59Njc9c63QMfjcULBICazmWBUoH1YZLlv\n",
       "H2JFSpZIp1WwaV0GP3gmQMaKYsL/+hUyt16Dxe1iZErkJy/ECUfh3pslcq1h5NZGQo89QGJ0EP3t\n",
       "f4xm082IustTSvd6vXR2RjCbUztgQRBwOHJRqYzs3/8sSqXMsmXrlzzWZnNw6tRxPJ4ONm7cms5/\n",
       "SpKSSCSKx9OVVjvRaDSIooLBwS5crmJARqXScurUEZzOIsxmMx0d7QSDAfLyKggEpojHo8RicQYG\n",
       "RnE4dJSWll7UmH4fDGYymeTLX/4uo6Mi8biI3V5BTY0LhyOTvXufIB4PYLVaqa3dRGXlGgYH29m0\n",
       "6d2UltZSWlqLTqfH42nj9ddfJDe3mLw896JrBINBWloOU1u7EZPJjN8fYHCwazYqcBYpGsM8Rkf7\n",
       "KS2tIRwKIQoCNpOEJAeJBYcwWF3MJHRMY6e9dxBvzEpzj5czza2oMlwoNDZAQKdMkmlI4sqIUeaI\n",
       "UeKIUWCL47LGyZv9c2XEcdviFGbGsOkTiAJMBBW0jqgY9SlAlNA5MiG7CME/iaLzKAIgmGwopJTw\n",
       "tkqlWsBiNeeFxmKxNHGKIAjkZgqoVQLPjNfhHnkVnW8Q0V2Gu9TK7pe9BJ55gaIP37Lou4vH48z4\n",
       "fLSOZ1IdP4mpompJya7TPan+yg3VcIO9g/ivtiOarGje92lE+xt7lfMRi8WQJOmi1smf/exnfPzj\n",
       "H39LEEdcIf6QwzwXV6snbq7nMBqNYrPZSCQShMPnYSdm6Zxi/3//kvw//xAPPznIbTc6yLColjjy\n",
       "0nGhiRsKBtNh6b5xkTxxGEWOe8HO06iHL9+Xx8vRMnpu/Sin3v85duz08qPn4myoUXDvVtB1Hib+\n",
       "4L8TP/gium33YPz4PyC5L86InA+9vcOo1YsJE7KynFitWYRCgXQf5blQKCTUaiOh0Axa7VmDLcsy\n",
       "+fkleDz9xOORWaIIBQUFxfh8fvz+aZRKJRaLhVgMduz4FS+++ASy7Gfv3kfZs+eR2YUvQG5uOYFA\n",
       "mAcffJKRkZErGutbCY8//gRNTTMkkwZkWWblylpcrix27PgJKpWWG2/8AMuWbcJgsDA25kGh0GA2\n",
       "n61wzcrKp75+GyaThfHxfhoaXiOZXDjnBwa6cDiy0ow31dV1TE1NMTTUl/7M1NQEfv8Yq1ZtQpK0\n",
       "eDxdGIxGIpEw4XAYt7uUSW8vNo2f8qwYtXkRNte5mex8Giut3L5lLQ5hgFUFEapyorgz4zhMCYwa\n",
       "GekCe1FRAKNGJs8apzYvwpayIEW2GCM+BfvadLSN6wnn1RJffiOCbxyp8UWE6dH08XObYpVKhVar\n",
       "XUBKAqnCtUAgQKUzwJbaOL80foLO9mmiLz4GyGz91icIn26j59mDC+5LlmWmp2cY9hnJj7STWVkC\n",
       "53iJkRj85gC8eAw+vDnKyr7HiD7+I1Q33YX63R9B0Ly5IqFvA2N5XvzBYF6BwUwkEvj9fgKBAFqt\n",
       "Ns2Pas3IYGpycslWk6UmU7Cjl5njZxCv28K+g+Pcc/vVqzC70BhDoRAarZakDH3jIvnTx8BZnh6f\n",
       "z+cjGAySm2Pm21+todGxnt2f+hln9nVwb2ELyyb34fvOPxE+tAdpy7tR/dnfoyxffsUPTSwWo6dn\n",
       "CpNpcV7L55tBlkNs2XIPjY0HGR9fTCYQDPoJhycoKKiire0kMNfE7kelUlNSsoyOjjNA6j4VCgmX\n",
       "q4yOjjO0tTWze/fTWCwpXc5bb30vf/Inf0FNTR2hUICxsVGGhvoZGmrF4Sikq2uUL33pa7+Tpvir\n",
       "DZ/Pxy9+sZtwWIFKpaCqagsGQ4jGxt1oNCrWrdu2gMx+cLCD7Gz3ovOMjPSSk+PmxhvfSyAwwWuv\n",
       "7VpA8uHxtONynS3WUipVVFXV09R0JP3ctLefJj+/CEmSKCmpoaurGVEUMRiNxKIpr8dkymRgoDN9\n",
       "nokJL5OTXurqNpKV5WRkxI/Pd7bI63IhiuAwJViVH2FdYYhYQmB/h462aSvhsmtIFCxH0X4YRcdh\n",
       "iEUWHT+n2jKXjplrbdFoNNQWw3s2xHjK+GFe9dgJPPw/5GSJhD7ycZr/5hvEQ2c33z6fH19IROmb\n",
       "wFWeC8qF6Yi2Adj+VOrfn6xqIuOxryAHfWg/9c9I5bWXNfaLLfr5fZ73F4t3nMG8kMTXxWBOcWNm\n",
       "ZgZRFDGbzek2B0iRuGt1OqamFlf/LXXNgf97lNyP3MljOye45XoHFvPVDdedb4yxWCzVkKxSMTwt\n",
       "oBeCGM06UOvT45tjIVIoJI51CFjcbnRSiBXTO9E+9Z8EDryC/u6PYfrEFxCLq67a7tLr9ZJMLJKP\n",
       "LgAAIABJREFUWpYsjurv7yAnx4XDkcOyZRs5cmQfweDCCuWWlpPk5bmpq9tIR0cTk5PjRKNRtFot\n",
       "Go2G8vJqRkYGF1TMFhQUcuTI6/T2trBhww3ccMO7sVjsjI0NIooiW7duw2jUsmnTeygr20A47EtJ\n",
       "VmXl0Nw8yoMPPkgkEiEQCBAMBolEIsRisavaz/dmY/v2B2hvn8Zur0avV6PXR/D5+liz5mZkGXJz\n",
       "3Qs+PzLSR06Oe9F5hoa6yMoqQKXSsH79bajVIocO7SYeTzA1NUEsFlzA7wuQl+dGq7XQ3t5IMOjH\n",
       "6x2gqCilkON05gMKhoZ6Z42mAQEBh8NFb28bsizT1NSA3z9Gff0WBgZSfZoKhZmBgaGr+h3p1TLV\n",
       "uVE2FIWIxAX2t+volguIrtiGLEpIDTsRvH2p0tQ3wPz+0IoCFZ+6XaDTsZlfJu9m+Oc/Y9ufVjNp\n",
       "cLDnr78/+zz68Aci+CZjlJebF1DTDU/CL3bBc4fg9spxbu77PsLuX6G65f1o7vxThMtMi8ClVcn+\n",
       "LmkIfxt4xxnM+bgcgxmNRpmenk5Tvul0uiUniMlkIhqJEA6F3vCaiVCYoYeexnjPe9i138vdV9G7\n",
       "nLve+TA/HNszJlIQOk08p2QBpZ1Wq2V8Bv7nmThNrX7+THyIT/u+hb0qn/t7r+fE9lfpfuAZkpHo\n",
       "VaV96+4eQadbuuhpaKgzrbfochWRl1fGsWN70u9HIiGGhzspLV2GRqPDYsmms/MMer0uTX6gVmvJ\n",
       "zS2io+MUANFohKNH92Oz2cnJyUtznbrd5XR1pQR+i4vLMJv1TE562LjxFsrK6lAo9PT19RAOR3jy\n",
       "yd14vV70en16AzVX+j/XhztHXvFWNKB9fX088sh+dDoXGk2KJ9liiXLttXfh801gNmejmRfOm5gY\n",
       "QRAUZGQsjAIkk0m8Xg95ealKZFEUqau7AY1GyaFDu+nv7yQnZ6GxnEN1dT1dXa00NzeQm5u3oKCr\n",
       "qGgZ7e2ngdS81ul1FBQUEoslOXToFXp7W6ivv4Hi4goGBnpIJpNYLJm0tw+kc4dXE1qVzDJnlHp3\n",
       "iDG/gle7TQxl1hMv34jC04yi6RUIzVz0+SwG+NitAstXOXjY9Cme2xOi+q9uQ7lnB57j3QSDYaYn\n",
       "odApEEyAzx/iZGecn74o89Od4NaO8/Hk/+Hc8Q0U7nK0n/oiUsnl62DCpXmN89mX3q54e4/uAriU\n",
       "BX5+eFKn02E0Gt+wp1IURSxWK1NTU4sq5eZfc+TJFzGtqub50wo2r7dhs16d3OX5rjeHOS9Zq9Xi\n",
       "j8BMQMYhDxMQtWi12jQL0WsnAnz/sSClvc/zwdFv4Sh3Y/7bf2fFZz7Kn/zbXTx+05c4+txp9tff\n",
       "zeSug+f9PhPRKG07jl3UPUejUQYH/RgMlkXvjYx4UKkErNazLDPV1XXIspKmpiMAdHQ0kZmZhSyn\n",
       "DNbKlesYGRla4E0ClJfXMDDQRzA4w+uv78FqtbJt2x8xMNBDfJbdyOUqxOfzMT09gSDA6tVr6e8/\n",
       "hSwnKSpaSXl5Jfn5y4lGYwwPh/nyl7+ZLpKYy1/pdDq0Wi2SJC1gRAoGg4TD4beEF5pMJrnvvi8z\n",
       "Pa2kpuZmJicbMJlg69YPodHoGBrqJDd3Iafw0FAnDkfBonONjPSj1ZrR6c72480ZTVmOcezYyzid\n",
       "S9Onmc1WHI5CTp06SEnJQsYal8tNJBJjbOysxyhJSnJy3DQ2HqCysp5EPI5Wo5vNefbOMv+oFjD/\n",
       "XG0YNTKrCyJU5kRpH1VxeMLJeOk2ZEs20qk9iN0N6TDthbw1UYR1lfDZ90rkralhr+pGBr75S7SF\n",
       "DiYnZPpHRXadMvPwPg3fflLDoYYwpf6jfHLsK6w8/m3EbCfKT38Jcc2WRbnNK8HFeI2+WeHqtzN+\n",
       "72t/LxWXGpKdMyyRSASNRoPBYLjokINGo0GlVjMzM4PFYlnymp4fP07OJz/Ms8+P8L2vXbl81PnG\n",
       "cC7mwrGSUklzv4wz3gU5xZgtFpBlJpraePx1JYGwzJ/YT5B3Ux2KvDsWjL2ixMB3t2/kqR3FPP2D\n",
       "59j0V/ej036H7Lu2kXNNLQqrCW/3GF07jxLdsRNflpuSbT+64C60vb2dzs5RYrF+cnMXCgL393eS\n",
       "lbVwkRYEkdWrN/Pyy0+Rmemko+MU9fWb0tWKIFBQUE5z83FWr74ufZxOZ8DhcLFz55Pk5DiprV0H\n",
       "gNGYQV9fB0VFFUiSRH5+CV1dLaxcuYGKimqOHTvI0FAX2dlFeDzNuFxuEokw4+PdHD/eyX/913f4\n",
       "whf+bt79Cekc1txYNBpNmts0kUgQjUaRZTldvj+f3/S3gaeeeobm5hlqam5naOgwoihw990fR6PR\n",
       "EY1GmZgYpa7uxgXHjI72UVOzWMNxeLh7UbgVUkazpGQFp0+/zsTEGBkZS+u66vXG2Xxw/JzjBYqK\n",
       "qmlvP01mZioSk0wmGB8fRq83YrdnodFoiMViZGW5aGs9idmUQTKp4mRjC3q9HnH2t1jwJ4qIgoB4\n",
       "hXyydkMCW3GIgUmJ4wNaMvTLKalyYxw5hXTiBZLZRQjWfFBcWK9To4JNy2TKTDOE1Dr8Q+O0PH8K\n",
       "Y7aZzMgUJbFRcsVRdIIF0VmIuOZDkJ2fqtZPJIhHImmPb/6cejNDpm930gJ4BxpMWEjefd78XlzG\n",
       "O51gKhBHRolWo8MoCSiTF66wmw+z2czoyAg6nS5dETh3TX9TB6HuAY6oKlleFcSZc2F1gUvF+R6O\n",
       "UDCIRqNhatrH4JSVa6KtKM1rCL38PA2NU7ykuY012WNs3ZqLpCs+7/mVSpG778jl9m0fZfcrt9L4\n",
       "xGuceuEQ5p/vRx0PktQZEEpKKbn/a9z+/nWI4oUf1vHxIEZjBu3tR2huPkxl5RqczgISiQSjo92s\n",
       "XXv9omN0OgMlJSt56aXHyc3NJifHhSCcNcxlZcvYtesxZmamMJnme64KBge72bbt7vQrKdWSYxQV\n",
       "VQCpsOy+fc9QXR1GpdKwcmU9r776GqKoxW53MzMzjMPhQqVKMds89NDTbNmyiXXr1p13jHP5q/lR\n",
       "irnFLpFIEIvFCIfD6c/NX/iu9oI3MTHBt7/9SxQKB5KUwOcbp7Z2I9nZTgCGhjowm7PTrTkAMzMT\n",
       "RCJRbLbF7Qlebz/r1i1uh4AU9+/q1dfS3t6I2WzDbs9a9BmPp4Nly9bQ1HSU9etvWvBeQUEJ7e2N\n",
       "TE9PYDZn0NZ2ZrY4qZ6enmaqq1ejUCgoL6+iv78VUSGQmZnNyEgTkXAYrU5HUpaRZz36uf/O9U/6\n",
       "fD4SyWS6gE+lUmEymS461CgKkJ8RJ9ccp2dcyesDVjING3GXT2MdO42+aQ8JswMy85HNjsU0dskk\n",
       "QmCC4KiXFr8Di02PUSOT6bLR+X8PMHXnh7j7Wx96w3uYa1mam09zUoZLbcrmCpHOh0vJX77dlUrg\n",
       "HWow5zDXSDwfvhC0DguMTCvQqwXMOgmVJOILC3imYCYk4DDJFGYmsRnkC2qzKhQKzGYzU5OT2B2O\n",
       "BZPP89MnyP7gHfxwp5cvfObNYfhfalMwp8Gp1miYihmxxr0ovf0Mf28vL+V9DK89lz+7UYPLsTgk\n",
       "ej6o1SLXb7KxecMt6PV3k0ikvpuLMZDzEY1GGR4OUVW1HlEU8Xi6aGo6wNBQN3Z7HgaDHp3OtGBM\n",
       "KQrCEDk5+fj9QVQqzQJjCSnKO7e7itbWE9TXbwFgbGyUsbFeKitX4fF0UVxcCUBubh5NTcfweoew\n",
       "23PQ6XTY7bn09LRTVraMsrIqjhx5lYGBZmIxmZGRdgoKapAkA3V1mzhw4CX+7u++wmOPPUhW1mKD\n",
       "cD7MtSLM9ejO5TrnjOh8lY2r6TXcd98/MjIiU1a2nKmpbqxWE2vXnu1vHRrqJCdnYTh2cLADh8O1\n",
       "6PdNtZmoz9mUpJCi0Oti/fqbyMoa58SJ/Vx33e0LDLHXO4Qsx6ivv5U9e36D1+vBbnem35ckBS5X\n",
       "OR0dpygtXUFPTzNr1mxBkiQOH95NZWVdmuYxO9tNb28b1dWr0WgyGZ+YotxuX3RPO3fu5JVXjjM2\n",
       "BqGQQDQaxmqNYrM5kOUkWq3Itpuuobq6Eq1Wi+IimvIlBbN9njEGJiVOjFhRKa4hMy9ATnIQ80g3\n",
       "is4joFAiq3QgiiTiCcZjJgY0pUwollGR7UWnFjCZzQiCQN2v7+fkez7NY3m53H3flgvew1L93vNV\n",
       "W+b6Qt9oU3YpBnNmZuYPHubbGecak2QyScewjEqIc22pjEE3xwJ01qjG4uCZEmnsV6BVylTnJTBf\n",
       "oK1Jq9MRDAbx+/1pWbBkJMrwr55D+PZ2LIcFqivevIk2N8Y5Sjufz4cggLa9gYZ4LVWJRto1K3kq\n",
       "/yOsKFHwwXoRpXRlXoxCcXnHj42NIcvW9K7X6SwiKyufEyf2sHv346xbN59VRyYajRGNRlAqVczM\n",
       "TOFyOZmensTvn8ZgWMiSUlpazYsvprxMvd7IiROvUlOzGoVCzalTB9IGE6CgoIyurjNpgnG3u4yG\n",
       "hlcpK1uGSqVm+fJ6urp6yMtbQ0uLAo+nBUmyMjDQx403vo9nnvkRf/u3X+THP/7BYlani8xVzg/l\n",
       "vpHXACxpRC8Gjz/+OI2NU5jN2UxN9ZGVVY3DEcDpTIW958KxLlc1DQ0HmZoaJhCYprPzFHZ7HmNj\n",
       "A5hMDrKz83E63QwN9eBwLF3Q4/UOo1arMJmsmExWxsc9nDhxkLVrzy7+XV2tFBSUIkkSpaW1tLQ0\n",
       "LDCYAMXF5ezZ8yQzM69SVFSGwWCa1cI04fF0z5JPQEFBMUeO7KGysg6LxU5bWxelpcXpudXc3Mz3\n",
       "vvcr+vpi6HRuFAotU1Mn0Whm0OkqqKu7CavVhs83TUfnBGPjR6itLUOv06HWaNCo1YgXICRXKqAw\n",
       "M0WGMB5Q4JlQcixcRlwsR5eZRCnEIZkknFAQFiVMpgQ55hguRlEqJQxGY/q3zF5TQWT7l2j5y3/l\n",
       "56j50GfXX/KGdH5rCyzclCWTSSLzQrlzhnO+EPcbwefzve09zHcs089cGCYej6NSqdLcqA6TjDNT\n",
       "jUatXHKCKESw6GTcmUmSskBDn4J4AjLewNsUBAGVWs3U5CTa2RzLzIsHCA8M8ahiI+++OYvC/Avn\n",
       "NS4HcyK6SqUSv99PbMJLfGwYxcnX8fkFxuzVKCPTPDday/u3SKytUqC4xIdwDnOe0Fzo+XJw+nQn\n",
       "0ahjQa+fKIrY7S5OnXqZWCxBVlYeKpWKSCRKMplEo9GiVCppajpGdnYOFksWPT1N5OcvJE5QKBTE\n",
       "43GGhroYHx9DoYCqqlUYDEa6utrQaNQYjSnPyGSycObMCZzOApRKFXq9gb6+HjQaJUajBb3eQG9v\n",
       "E6Kow+WqZmZmGJstm+7uLhKJMHl5FZw+3cDwcDc33HA2hDy3u79cpp85AzrXjqBUKtOMUrIsL+A2\n",
       "nesJPR+36cTEBP/yLz9kchI0GhMaTT5q9QRr116DzZaFKIo0Nr5CV1cr0eg0FouVwsJqiouX4/dP\n",
       "8K53/Sm5uQWIYsrjbGk5QU9PMytWXJOWUJuPtraTWK1WMjNTcnWZmXm0tx9HqdRiNlsJh0M0Nb1O\n",
       "Xd01KBQSZrOVjo5mtFpN+ncBkCSJvr5+Bgc72LTp1vRroijR09NCQUHqd9dqdXg8fahUSiwWG1NT\n",
       "09jtGjQaDd/73na+971nGB/Xkp1dxehoPwpFP/fe+wmuv/5uRFGgpSV1b1NTk0xPT9HZOcjIiIey\n",
       "MjeiKKaep1kmrQttUgQBdCoZkzJAkT1JfkYCqz6JUQdWA+RlJCnLipGlDyJHJtFqNeiXqJewVLqR\n",
       "HHYiX/s6vxnOo2Z9/mUJy5+9LyF9/5IkpefU3HjmqrpjsdgF+XJPnjxJPB5nw4YNl30/byH8gRpv\n",
       "Dslz8hZz+nfzSdIvBEFIGc68jCQ94yI9YyIOo4zyPBtOURRBlgkGgyAIDHzl+yi23cxznXo+98mi\n",
       "S94pXiySyWRKWWGoD/GV50m++jzRVddhK6+mQbWKPP9puuQyPniTBrvlyoqm53apl2swY7EYhw93\n",
       "YbUWL/oNPJ4OlEoleXkFNDS8jt3uRKfTodGkNA0jkRCnTx9k9erNZGXl0tp6Go1Guyg0aDZncPz4\n",
       "QWZmvGzceFOauzSRgP7+trQKh0KhIBAIMD3txeE46+H093fichWl8r9TEySTYRKJFLWeJEF2dgFd\n",
       "XY1YrVnMzMzQ2tqCViukpcDmdvNXixrvjRY84LzcpoIg8Pd//0VOn44hCDLxuI2amhVkZARZu/YG\n",
       "fL5pjh/fS2fnccrKVrN583uw213odCY8nnZkWaCgoASVSoPFYsflKkOj0XDmzGFisQhmsw2d7mzF\n",
       "ZDKZpLFxP8uWrU23iqR0UzNobDxAbm4hvb0dKJViumUoRemooa2tgcLCivS54vEEra0nEASZ4uLq\n",
       "dOjRaDTR1nYKm+3shkuWBQYGOnG5ikkmBbq7z/A///Nr9u71UFn5Xmpr72B4eJD8fCUf+tDHMJtt\n",
       "CIJAJBKjv7+Lw4d3YbVacDiyycx0EIkIhEIzlJUVYpitCA2HQgRmhRaEeZ7ZUpiroFZKIhqljF4l\n",
       "o1PJSEKCQMBPKBTCaDKheQNRCEttKfrCXKT//Dd+ekiJsiCPgryLW7cuBvM3ZXMbMZ1Ol/bM58K5\n",
       "c3NqcHCQ1157jeHhYYxGI6tWrbqi67/wwgu8613v4jvf+Q6hUIhrrjk/Cf2biCUN5js2JDtnSBKJ\n",
       "xIK+uXMhyzIkYikZIYUS4RxyaI0S1hYl6BgR2d8mUV+YwKpfOuRmMBoJBoPEJqaYPnqK49f9FXfc\n",
       "ZESS3pzunmg0SqCnA157CWGwG+X6GxFuuhtlPMmzzRlIarBpo5TXXX5T83xcaR/m+Pg4smxesgjB\n",
       "4+nAbneRm+tmZmaaEyf2s2XLHcwx9XR3d5CZmZVejKuqVtPU9Do5OfkLzqdSqQmFYhgMygVebH5+\n",
       "4YJiEoDCwjJee+1FKirqkCQJl6uQlpaGdOGQ213OmTOH0GoDaDQW+voaWL58Cx5PF8HgFNnZxfT2\n",
       "BvjFL56jpqbmiheSi8XFFBQ98sgjNDQECAQGUSrzWblyHS6XElHMx+Pppbn5NUpKlhEIjFFbu9Bj\n",
       "GBnpJTd3Me3hzMwEa9duw2azceTIi5SU1KWJ14eHB9DpNIvC5JmZOTid+Zw6dZiZmXFWrlxYKOVy\n",
       "FdLefmp2o5IKtba2nsZmy0AQHPT1teJ2p0LpoijidJbS1dVMXd016eNbW0/g98/Q19fLE0+8jN8f\n",
       "5YYb/hyDIZPTpw9gt0fZtu222YrgCCdOHGBmZpi6uvXU1a2jufkY2dkF6HSp+eL1DtDQcIb6+hVo\n",
       "tFo0Wi2JeJxwOMzM9DQIAmq1ehGn7NzvMD8/GJ8t7opEImi0WqwZGRdVYJR9541oczJRfuQfaP6n\n",
       "Dp5YfSd33J7HhnrLJXFQT8/E6R8MMzAUxjMcYdQbYXwyxvRMnFAkSTIho1CAQS9hs6pw5qjZdp2N\n",
       "ogJ9Oh86NDTE9u3bOXHiBDqdjr1791JfX8+aNWvYsGHDJfVmJhIJ/vIv/5Jdu3bhdDqpr6/njjvu\n",
       "oLKy8sIH/xbwjjSYkUgEv9+fnsxq9cJKNTmRAG9v6m96LCU6q5AgEUNWSGDMBJsTHAUISjWCAKXZ\n",
       "SYxamUNdCmpdCXIsiw2HIAiYLRa80z4y7rqNl4/7+cm9V7/YJ5FIEBjoJbH/OejvQlh1LeYPfAqU\n",
       "KgY8o+w9pcdkheJEK7bqpZUkfhcYGBhDpVqsyReJhBke7qe8fBUajZplyzZw/Pgejh/fn66Y9Xja\n",
       "qKmpSx/jdBbQ3d1CR8dJysrOCj339/eQmWkkEokSDPrToUOFQoHLVUJnZ1N6sTWbLRiNGQwMdOF2\n",
       "lyFJEnl5RfT0tLJ8+VpycnJpalJiMCTp6OhlcHCUcPgl3O4aGhpeYs2arUxPDzMwMMzXvvZtfvCD\n",
       "/8Buv3IFmsvB/IKi8fFxfvzjHUxOqlEojFRWbqaiwkU4fBq/P0g4PMP69bcSDPoxGhd6itFolMnJ\n",
       "UVatWlx0MjraR2XlWrKynJjNmRw5spNgcIbly9cxONizQFJtPior1/L88z8nmYyl20Xmo7x8BS0t\n",
       "h3G5igmHw/T3t7Bhw01EIhGOHdtHQcFZ77OwsIR9+54mGk1VNEuSguzsAp577jGamkS6uwdxuero\n",
       "7+9icvII+flGNmxYicFgZnp6ksOHd2G329my5a50nm96eowTJw6ycWOqrSYz00lXVyvZ2QO4XCmR\n",
       "aoUkoTcY0OlTSj7RSISA359S+pCkdH45HouRmA1tzol0qzUaMmy2S276N69bwdpXHyLjb79BxY7/\n",
       "R6P3Hr7/4yoqSoyUFOrIdqgxGhQoJYFYTMYXSDA5FWNkLMrgcJj+wQiJhIwrV4MrV01utob1qy1k\n",
       "ZqgwGRVoNQoSiRixWJJYXIF3PMbA0Fmavrk857p163juuef4xje+QUFBARqNhsOHD/Pcc8+xa9eu\n",
       "SxrT4cOHKSkpwe12A/D+97+fp5566g8G83cJURQxGo2IopgWd56DPDEELQfAkAFZhVC2FlTas95T\n",
       "NATTXhjrg64TyI4CyK9B0BrINsusK05wqFNBLJEg37bYaKrVanx7Xid+5+2sa9RgvYo0eLIsExr3\n",
       "Etn7DLQ1otl4E+q7P8ZUMEQUFS8fCZNvTVJXqaV/SkGh2oegvTreJVyZh5lMJunrm8RimV+NKROL\n",
       "xenqasJisZORkQEIJBIJVqzYzKFDz9Pa2ojNlk0yGVnU+1dTU89rr+3A7a5ApdIgy0laWo5TU7OW\n",
       "4eFB2ttPLvCeCgvLFiy2kCr+6ehoxO0um/eZZ1CrDYyNjTA6OkRLSwNmcyYaTYLu7qP4fBNEo0kO\n",
       "HnyOrVs/yGOPfZemphE+//n/x/e+95+/c+mjf/qnr9LdHUOSojidqyguLsbpVPLCCw2sWnUdK1bc\n",
       "AMi0tR0jIyOPSCSSXhxHRnowmewLKlsBgsEZQqFwukjKZMpg06Y7ee21HRw9uh+vt4+qqluXvB9J\n",
       "ktDrbXi9HbNyawtD+k5nPh0dp+jtbWNycorsbGc61K5WGxgY6Ep7sjqdHrs9j56eVsrKUtypPT2d\n",
       "7N7twe8fRKXSEw6P0NLShyjKKJUqgkEX4+OjHD68i/LyZRQVLdxEVlWt5ZVXnuTAgb0YDHrC4QDR\n",
       "aJTx8V4+/OF3LSh0mVMGUiqV6CGdV04kEsjJJIl4HGk2ZK6UpAsWDV0IKoeNqp/+O5N7D2H8+g+o\n",
       "H3uUpGUrHt1KWqdz8Idk4nEZpSRi0CuwWpRUluq5cVMGeTkarBaJZDBMdNhL1DtMbGySeI+fZChM\n",
       "NJEgAYg6LZZsO9muHOq35iGqll6z/H4/1dXVbNy4kY985COXNR6Px4PLdfY5zsvL49ChQ5d1rjcD\n",
       "70iDqVKp0gURixZ4nQmWXY9gXOzpCIIAah04CsBRgBwNg6cFjj2PnFMCBcuw6JRsKI3zWodEUk7i\n",
       "zlzYtjL92gkmf/401h9dyx/devUqyqLhEMH9O5EP70FVuw7tZ7+OqEupTXR3RXmxIc7NKwI4MvWM\n",
       "BERyot1oysuv2vWvFBMTE8Tj+jR1XSpkHkKWYWpqaLaA52xoS5Ik6uu3sn//swwO9uN0uhed02LJ\n",
       "wG4voKXlOMuXb6CzswWNRiInJx+zOYO9e5+msrIO5WwvnE6nx+Fw0dXVTEXFSmCuxeQo4+MjGI0W\n",
       "urvb6O/vAWRqa9ezfHk9r766k/Xrr6e/f5T9+w+g02mw26McOPAsO3Y8RGXlWgYG2jl6tJPPfOY+\n",
       "tm+//03+Ns+PBx74EQcODGI0GjEYrLjdtTidAseP78DhKGH9+tsACAZDTE15qa29Nq31GIvF6Otr\n",
       "xWrNJhqNLaik9Hi6sNud54S/UzyyL730CyYmJtDplp7v0WiESGSa/PxqmpuPUFu7mAyhrKyWhoZX\n",
       "kOUk119/R/r14uIqWluPL9DcnKtoLilZxjPPPMSBAwNMTQ2h1RrYsOGvGBnpp6DARkGBkrIyO8eO\n",
       "7WVwcIBbbrk7HfadQywWpbX1JNPTU3g8x1i3bgu5uU5AxOcbp6WlgzVr6jgf5htQgEQyeVVE68+9\n",
       "Rsb167BuWYvv2Bm8j+9E+cv/Ind4HG1pAWpnFpJRj6BQkIzFSPiDxCam6fSOEx0eR07EUWVlorLb\n",
       "UGZaUJiNKLQaBElBPBwhGQwxMT5NpH+IyOAIy5/+X0yrFpOsXA3igrc6D+070mCe+6MsqPrS6EFz\n",
       "cfROgkoDhSuQc8uh6zgcfRa5fD1GazYbS+McbE99vfON5uBDTxGu38COfUE+dKfqivkXk8kk/qYT\n",
       "JF58FIXVju7jX0BypHb5wbDMs68naB/QcM+1MgZFBL0hg55egU3GKQSt+7KvuxSuxMNsaelgakrE\n",
       "ZouTTCbSnoYoioyPD1NXt1CkWZZlDAYLVVX1PPnkA9x7731LnreqagX79v2GwsLKNAMQnGX5aW8/\n",
       "TVXV2dxiUVElx47tpaysNm0Q8vNLaGg4RCIRx2bLZNu2u+jtbcHlSmk3ulzF9PS0UlNTz/j4GEeP\n",
       "HmLjxnvIzHTz8suP0NfXQjwewWTK5uRJD9/4xn/wta/962V9T1eChoYGHnhgJ4mEEperhlgsjMul\n",
       "ZnDwFCqVnvr6benPjoz0otdbMBjOGjmFQsHMzBjLl29M9zDH4zFkOUXY4HbXkEgkFhS9qFQqMjPd\n",
       "BAIzNDUdp6pqsXHp7+/CZnNQW7uRvXufwuUaXcQClJOTx+7d0+Tk2BbknnNzXTQ3H2NkxENWVqo4\n",
       "y27PQqXS8uSTP2P//m58PiVGoxWX6xbicTG9YS4osKPXWxBFkdzcnNmNV2H6eRwY6KGp6XVsNjs3\n",
       "3HAnvb1t+HyTuFypNIosF9LT00RJycRs9OON8WZTHwqCgGl1DabVNRRzH7HJaUIdfUSGRkn4AsiJ\n",
       "JIKkQGHQocwwpwxklg3JbDyvoYpEIqkq/1mvPxEKn1cI3ufzYTYvLXh9sXA6nfT396ciUYCMAAAg\n",
       "AElEQVT/v7+/n7y8vCs659XEO55L9moQhgtqLULlRihdA80HkDtPoFMm2VAap31YpHcsNRkTgSCj\n",
       "T+1in2Y1ZSUWVCoVvpmLJ2eej7nw6/TD/01ix6/Q3/xejPd+DsmRgyzLNHYmuf+xOGqlwEdvCpJl\n",
       "CqLV6egZkcmK9qMvvDKtyqsJWZbp6RlncLCDp5/+MY2Nh2e5WNUMDfVgNNpQq882u85/uEVRwm53\n",
       "0tFxcslz63QGXK5yXn75eYxGAzbbWSKB8vJl9Pd3Eo/H0+fMyLChVhsW6GxGo3FOnjxKRUUtq1Zd\n",
       "S1FROYlEqskeoKiojKGhAZLJOOvWrUaphFdf/Q3T037s9gIsllROb3LSQyQCL710gvvv/9ZV/AYv\n",
       "jKGhIf7mb/6N0dEQZWVbmZ4exOEwEQ73UV29DrVaS07O2RzjyEgHWVnuBefwevvRak0YjSaUSgmV\n",
       "SolGowGSBAI+srPziM8Wv4TDodnq3AhjYwNcf/1deDwddHe3Lbq3vr428vNL0Wi0lJWt4NSpxSE4\n",
       "v9+HVqskHo8tIBuRZRm3u5KOjtMLPh+Nhtm58xjRaBYGQxalpdchy1q83g4KCpYTiQyiUmk5dOhF\n",
       "KipWcvPNHyEaDdDYeIhkMklDw+vpFpdVq67DYDBTXr4Sn2+KkZFBIDUP9fpcTp5su6Q15LflRSmt\n",
       "Zkz1y7DfcQPZH7qDnI+8h+wP3o79jhuwXLMaXXkhSovpDe/n3P5LhVaDqDy/wbzSPszVq1fT3t5O\n",
       "T08P0WiURx55hDvuuOPCB/6W8I40mFdD4mvJ89qcsPo28E9A4y50hFhfEqd1WEH/hMDoM3vQrlzO\n",
       "yWEN1623YrZY0jJQl4JYLMb0oX2Ef/g1lJYMLH/9VVRVdQiCwKRf5qc7E+w6nuCPtyp490YFKinV\n",
       "zqLWGuj2Kii1zKQ86auMy/0uUwT1Jurrb2bz5juAMHv3Pk5fXwdDQ92LJKXmo6+vgzVrNjM2NobH\n",
       "07XkZ0pLq2ltbcLpXMhWYzJZMJkcdHc3LXi9sLCCrq4WAI4ff53x8QHWrbuOUGi+FFgZXV3NQMoo\n",
       "Z2bm0tXVgkaj4Z573kdWlgqLxUR2dgnT00NIkh2XqwpBiDEyMsbPf/48999//5uionEu/H4/n/vc\n",
       "V+jrm8Ht3ojfHySRmMJqFbjmmjsIBifJySlOtzYlk0nGxoZxOgsXnGdoqAuHI3/R+YeGusjMdKLV\n",
       "alGr1SkO5dnowNDQAGq1Gr3eQm3ttTQ1HWZ4eCDd2jU1NU406k/nnwsLywDFot+ktbWR8vIq9Hob\n",
       "PT0tC97Lzy8iEPAzMZEiWB8bG2HfvhOEw/moVDlkZBjIylpJLDaBRmMjFvOSm5vNq6++RHZ2DkVF\n",
       "NUiSxNq12/B6+3j66Yfx+71cd93tC4qQJEmiomIlTU0N6ddMJisjI3FGR0d5O+JSmH4CgcAVh2Ql\n",
       "SWL79u1s27aNqqoq3ve+971lCn7gHWow5+NqGkyYDdMuvx4sWXB8B/rYOOuL4zR5FHQdH6Cr9Bo2\n",
       "rzej0aTK/i1WK5MTE0uKTZ+LZDKJf3QY/0Pb4dBuDB/+DIbbPoCgUpNIyuw/meC7j8fJcwj89R9J\n",
       "FGTN9k3F4yhVKnpGIDvei6HwzaHhu1TMMQ91dnYjilb0ej02Wxb19VtZs+YGWloO09h4iOzsc0My\n",
       "ArKckvGanByioKCClSs3cfr04TTzzXx4PP3k57sZGRlY9F5paQ1dXW3pZv9kMklurotIJMorr7yI\n",
       "3z/Oxo03U1a2nN7ezvTv5HYXMzExTm9vOzt3PsHBg3t5+OGf8OijP2VmZgynM5eiIi0GgxKjMQOf\n",
       "bwSvN0A0KiIIBgYHR9i+/dd85jNf4NChRoaGhpa89ytFJBLhvvu+yNGjPWg0BUSjOiYmDlJZWclt\n",
       "t30EiyWTwcFunM6zEQevtx+12jDr4ffT8f/Ze88gue/zzvPTOafpnk6Tc8TMAIM0BECAIMFMylpZ\n",
       "kmWtJZVoe123vrXvylV3fnNVe3d169oXt7dl+3bXctk+m5S1FimRNEmJESDSIA0m557YM53zdI73\n",
       "oqebGA6YJICWRH1fdvqnX/+e3/P8vs/365hjdvY209M3yOWyeL2uPWbQXu86VusHgbTcx1fuC/X7\n",
       "XTQ1tSGXKzAazRw4MMLY2PuEwyEymTQOxzwWS0OVTyAUCunvP8ri4hTZbJmRGY/v4PNt0tk5RFfX\n",
       "EA7HXNVNBsqTbFNTDw7HLPl8nr/4i/9IIKClpqYfkSiBVtvIzk4Eq7WJXK5Asegim00SiYRpbz90\n",
       "x3kLKZUkeL0O+vqO77EWq6ChoQOBAGZmJllfX2FpaZ5gMMHVqxOfysjhF32P7udBsVj8WAenT4sn\n",
       "nniCxcVFHA4Hf/qnf3oPzuze4QspXFARLYAyTV68S/u+VxAIBAgM1vJe6NxlpBoNWjI4ag9yya3m\n",
       "688aqdHLqmotuVyuLAytuLvGXiWwxCevU3zxe8g6+lD/1h8gMpgA2PAW+fu3CkST8K1HxfS3CPdk\n",
       "C7FoFLlSx4xLyrApgPQjXCLuBdIfcx13oqJnm8vlWFhwoVK1Vsk3AEqlBplMwerqFLlcDputsUoI\n",
       "qhC2nM5VhMIiTU0dqNUaIpEIfv9eQ+NSqcjY2EUOHRphfX1519Higz0wuVzB1tYGIpEAvd5YHRfL\n",
       "y4tsbi7w2GNf37XpUrK9vYFUKkWpVBEOB3jttZd5//0p3G4JxWIbOzs1bG4mmJpysLAwzcbGNKdO\n",
       "PUBDg41k0ovV2kAgECKVSgMa0ukYGxtutreDeL1Zrly5hlQqQSYT3RNiSD6f5zvf+QNu3PABaiyW\n",
       "IXS6KCaTnG9+84/QavUEg27c7g0OHCj3P2azGS5ffpVoNMrW1hzJZIhSKUsyGSEc9mEymXC5llhY\n",
       "GCcQ8FEqCdncnGdw8IHq86mgWCwyNVURK5Dtmq3XkM+n2dgol2Gnp6/Q13cEkahcbi0UyspNsdgO\n",
       "odA2Fksj8/Pj6PU67PZmVCoVXq+HTCaB0WipPi+DwcTs7BgXLvyEpSUBZvNDqNUSwuFJBAIIBCaQ\n",
       "SkvE4+tIJHGKxSgtLQ+gVArR6bTk83muXXsLrVZDT88wDsc0jY3te55BMplkYWGSra1VZmauo9Np\n",
       "KZVyFAoZfL4gTU2mj93DqzBmfx4lrM8bFaGFT+JZlEolXnjhBb773e/+qiwKfq30cycqpbBsNruv\n",
       "yfteQaDSgcEGC1fJjE/iuziF5Tcep7VOiEpGtb1AtmsBdqdm6J3nuRMOkf3pDxFMXkXz9T9AdvgU\n",
       "AqGIRLrEP18t8u54kXPDIp48JkQl3ztY4zs7FAoF1v1yTBkntu6W+zagyyLoHx8wS6USmUyGRCJR\n",
       "FYuYmfFgMLTs+6zDMUFzcx9CYYnl5Wnq6loQicTVgDk/f5OWli60WgMAJpOV6elb6PU1qFTl0tDW\n",
       "1gaRiIeBgREKBdjcXKChob3adA0gkchYXZ2lra0HkUjE+rqDSMSFTKaiqakNkUi8u2jJcfv2Vba3\n",
       "E9y8OU0uBxpNPYODx8nn48TjEXI5MY2Nw6RSeVZX1xkfn8DrDZPPpxkYaOWb3/w2LtciUqmCZDJP\n",
       "JOLH4ZhnbW2Wxx//FqWSAYfDxfr6KqVSDrlc+jNNsPl8nj/+4/+Vq1c9JJN5amv7qKsTYbHIOHjw\n",
       "DG1tZVbp0tJN9Ho7Wm0Nc3O3mJi4gMezwdDQaY4ff5yWlj5stlYiER8WSwtDQydpbu6lqamLYjHH\n",
       "+Pg7uN0eGhs70Gj27l+53U52drx0dAzteb22to7tbQcrK0soFOKqMER54SqkVCorMk1N3UAqleNw\n",
       "TDEwMIJEUh4varWWubkbNDV9wPKWSCRMT4/x/vtL6HSnKRZd5PPrZDIF8nkl3d2PU1vbg0gUxOOZ\n",
       "4ujRZ9DrbQSDbmw2E7duXUAigSNHHsZotOB0LpNOZzCZLOTzBebmxpmauoJKpWB4+BSlUp66uja6\n",
       "uwex2ZqoqbESDrtoaan/yP/XzyuL+C+BTxswAb7//e/z3HPPfQ5n9bng1wHzTlQCZi6X2yNGfK8h\n",
       "kCmgtpHiwk12dDUIzPV4MjoMyjxqRTlIV1ho4VAIuVxepfGnUimSm6vw4l8hUWvQfOuPEJmsFEsl\n",
       "biyUeP6dAjajgN85J6LBvF+Oq1AoEA6HyZXkbITlHG4pIbqLxue9xMcFzHw+T3xXQkyj0SCVSnG7\n",
       "3Wxvi1Gr97MMJycv0d9/hObmHmKxAEtLU9TXl2XzYrEwTuccQ0Mnq9ctEomRyRQsLNygqakbgUDA\n",
       "xMRlWlu70emMGAxG5uYm0On0KBTlPVyBQIBWq2d1dQGFouz9OD19jZGRR8jniyQSYWy2RmKxELOz\n",
       "q1y7tkIw6MdkauXQoWdJJPKEQmtIJCna29uIRALkchHUagUaTR3RaAS5XEkuJ2d8/Bbh8CZPP/1V\n",
       "9Hoxzz77ZTY21snlxASDIa5f/ylyuRijsR6ttoX5+U0uXbqMz+dHqy3vD36ahV0ymeS73/1DLl1y\n",
       "IhQakMuVdHXV0t9/AImkxMGDDyGXK3bJLReQStXMzV1GpVLQ2NgNCBgcPLlHpWZm5grt7YOoVBWh\n",
       "BzEGg5l4PIrJZGNra45wOIzJZKtmmouLU9TW1t7VAqy2to7333+VurpG6utbq8+irFIkRCaTIxJJ\n",
       "uXXrPI2NLTQ0tFdViqRSGT6fn0QiRE2NBYFAQDQa4kc/ehevV0SpFKBQSJDLJRGLLaRSefR6O5Cm\n",
       "VFpDLtdgMDSi0xlIJNJsbIwhFGY4duyx6vUajVYmJy8jl6sZG7sA5Dh27CwNDWVykkymZHFxgubm\n",
       "zt3/b/mcLBblR5oo32tZxM8D2Wx2n1rRR+H555//dcC8H2fyi4A7A+bdbHDuJaI3Zpj+9/8fytMH\n",
       "OWYPI7NYmHarqNWUkO/+d0QiEUKBgGg0ikQsJp5IUJq+AW+8gOLssyge+TICiZQNb5Hn3y7iDZX4\n",
       "rbNijnR/tLNINBJBIpUyt6WgU7pJTdPdXSTuJdLp9D493mrwTyZRKBR7dClnZlbJ5817WLAAwaAb\n",
       "n89FT095j8lqbSIYdLO+vojN1sTq6gIajWpP+RXKmcnW1iaZTBwQsrW1tBtUy+8XCiU2N8uOGHsn\n",
       "ASFra7Nsbq7S13cIs9mOWq1hZuYWoVCAq1en2d4OEI97kMtV6HQGNjcn2NqaJZ2OcfLkb1FTU4dM\n",
       "JiYYXMduP0htbTuRSJJEYodiMYlc3sja2ibB4AZNTa3k80m+9rXfoVjcoViU4HZ7mZ4eY27uCktL\n",
       "s4TDQYzGFqzWflZXAywvO4hGIwiFZU1YmUy2byKbmpriO9/5n7h1axuJpAWFIkddnY6zZ5/FYrGR\n",
       "yeSrDf3T05dZWJjCaDQwPPwITU19rK/PoNNZMRhqEYnEu4uTEE7nEgMDe2XrisUi09NXOH78HK2t\n",
       "AwSDTubmxjEYLMhk8mo5VvJhz0fKerDb2w5yuTR1dc13/YxKpeHSpTfp7u7HYqm/IwsVodXqmZq6\n",
       "Tl1dM/l8nhdeeIHp6Q0gi1RqZGjoWYRC0OtbMRp7yOfTuFxvUSyGGBh4Co/Hic3WiNe7jtM5yRNP\n",
       "fA2J5INMXiqV43SuMjr6JsePn6G//+iec9RodDidDoRCMXq9YfdVMdGom+bmu7dBVKoav2wB86Nk\n",
       "Qz/8uZdeeonvfOc7n8+J3X/8OmBWIBAIqgGzQh64n4N49T/8VxZVnWx3PszB+hQa/xwSi51Jl5Ja\n",
       "TbEaNIVCIelUilQyifT9VyktjKP51h8j6ehnJwUvXy5wYaLI2YMinnlAiFb10YM4k04Tj8cJ7sjI\n",
       "JVN0dNQgvs97JwKBgFQqtWf/reICIxAIqqa8lfdyuRw3b67dVWx9ZWUKjcaA2Wyvvma1NuFyOfB6\n",
       "Pfj9Trq7h6ql1zthMNQyMXGVnZ0IdnsDtbU2CoUiUEKvr2FpaRqtVr/nuzqdgbff/mfq6mwcOHAU\n",
       "AJlMzvz8DNPT69jtR8hk4gwNPUY2q6Cr6xih0DYqlZJw2I9crsFstqPT1bC9vUEwOIPfv4VOZ6VQ\n",
       "YDf4xBAKDfh8QXy+TWQyATU1Rrq7h5BKCzz22DPMzy/i90cIBrdRqaTo9TV4POsIBBI0mjr8/izv\n",
       "vXeV0dFJotEUbrefQCDI/Pwi/+7f/Ql//uc/Yn09jNl8HJ0uTUuLhS9/+Tl6ew8xOXmR1tZB5HIF\n",
       "4+PvMDV1jb6+EY4ff7y6YJmaukhPz1HEYkk1YK6tzSCRKLHZ9jJkPZ5NYrEwHR0HEIlEWK3NyGRS\n",
       "bt++QCKRpFhM7SvHVrC2toRUKsRiaWVlZXKXTPPhMTCPXC4hHPbT0NBWPR+BQIBCoSQeTxAOe9nc\n",
       "3OTll9+lVBLS3PwEcnkDAkGQZLJAff0ger0Vn28VhcJLW9sgodAa2ayAfD6D3z9HXd1BzGY9SuUH\n",
       "i7aZmTGiUQ9qtYqGhq595WYAiUSKwzG9y+wtjxePx4PNpr1rleWXLWBWxCo+TcCMRCKcP3+eb3zj\n",
       "G5/T2d13/Fp8/U5U2LH3miX7YRQSSbyvvMNrJ/89/+kRK5gaKThu07jxJtLWx7m2ouVYax6ZMEU6\n",
       "nUZZyBL3usk0dmF8+rcpiOVcHC9wcarI0W4hf/I1ETLpxw/eYrFIOBxGLFGx5lZx1BoD8edn7Fph\n",
       "PCaTSfL5PCqV6q6TRDAYBO4utu7xbOzTKxUKhRw+fI4333yeQMBHba193/eg3C5isbQwNvYO3/72\n",
       "/7y7OBJUKwltbQdYWpqoyrgBbG6uotWq9hBXAgEv+bwFlaoWn2+VhoZ+bLYOgsEdRkdfpKOjn5aW\n",
       "wywvTzI39w4iUXkcFQpBamvrMJkaSKc1gIJMJkIkskapFEMqbcLtXmNz800cjnlOnXoCuVzF8vIk\n",
       "v/d7v8fi4hwXL77P1NQi09MTKJVyWlq60enMZLNZ6upaaGpqx+XKcenSFd5665/w+zNks2KUSi1H\n",
       "jjzEoUPtbG0tMzLyZdraegkGyyzcUinP+fM/wGhs3BUL+EAa0O93IhJVrLY+0Az1+dbp6Di67z67\n",
       "3Sv7vC/r6ztQKrW8/PJfVUXR74atLQfd3Qew2Zq4fNnNwsIYvb1Hqu/n8wU2NuY5fPg0a2tLzM3d\n",
       "Ymhor2tFT88AL730Pa5d2yCbTXL06B9SKuUQifSsrb1MU9OD6PU2ikWIRGbp6DDR1fUggcAGExNv\n",
       "srl5g3PnvolCYWRqaokzZ45TKpWYmBhlZ8fDgw8+i9+/zfz8bSwW+z5Hobq6FubmbjEzM45KpaZQ\n",
       "KBs6zM4ucerU3mwc7r9wwf3CpynH7uzsoFbf3+2eXwR8YQNmBRXFkvsF78tvk+3oo+1gA5backmn\n",
       "2NBHUarEvvI6pfqzjK6YOWCF2rCT1I//Fu3pp9lp6WPFk+GlURF2o5B/+xtiTLpPHrilUolwKIRU\n",
       "KmN8Q0af2o3MYPhc/6yZTIZ0Oo1MJkO36xZ/N2xvB5FIDPtej0YD5PNFamr2C5VXlGO83g28XhcW\n",
       "y92DZnlfWkI0GsBksnPnKbS0dOJwTOPzbWM215FKJVlYGOPs2S8xNnaJWCyCSCRidnabpqaTzM7+\n",
       "DfX19djtZZJJMukmnY7T1FQuF7e29uPxbDE1dR6dTsupU1/jxo3LpFJZ1taukE7ryWYLyOUmksk8\n",
       "pVKMtraH2N6+zsaGC6XyEqdPP0kikWR6ehyz2cbp0w/jcm0QDIbweHxMTk4iFApRKKTcvHmRYhFK\n",
       "JSG5XAnQYDC00d5uZXj4BMVihlQqQVfXEfr7yxne0tJNUqkdFhbGGBp6hEQiTC6XRS7/IBPa3nZg\n",
       "s+2VhksmYyQSyaqKzp3w+7cYGdmfQer1tdTW2slmE3dV94lEQnt6Lw8dOsnFi69hNtdX+x6dzlVU\n",
       "KjU1NWaUSg0XLrxCKLRXAUgsljI3t43b7aKj4ysUi3lstm6CwWlSqRIWSzcikYhgcAWdLo1M1kGp\n",
       "BDU1jahUBra2HHi9flIpJxKJgHA4xOrqLKlUiJGRJ5FKpTQ0dLC6OsfGhoOWXbGPbDbD+voqLtcq\n",
       "Pp+bjQ0HQ0OHEQpFZDIZbtzY4tChA3fdy/wVYZDuwxfBPBq+oCVZ+GAP816YHn8cFv/kz7igf4Cn\n",
       "vnuEOpu8esycVEVBVYN+/TJqrZypgBHJzTeofeYreM3D/GRMhl23w3B7kQeHlPvYr3dDqVQiGolQ\n",
       "KBRYcYnRChN09NruO7GpgkKhQCaT2ZWtU991j62CYrHID3/4FpFIDplMUSXhAKyuTiOXq7HZ7r7n\n",
       "OjNzla6ugywvT1Bf37Yve83lckxMXKK3d5j19Tmamjr3iVWIRBLW12dpbOxgbOwyRqOJ1tYeMpks\n",
       "Hs86Xm8SkaiDQGCbeHwbjaYRi6We9fUpcrkoWm07IpEQtVpLNptmefkaarUBELKyskCpJAIKDA0d\n",
       "QSwuUSjIqa1tQCgsUSzGSaczDA09TiTiwu8PodNJeeaZb2Ay2fD7XRw//hCHDp1Co9HS2trG8eNn\n",
       "6egYQqk0IZWqUKkMNDb28aUvPcdzz/1bSqUAWq2Jmhor3d1HCQa3GR5+GLlcycrKBG+//SJ9facY\n",
       "GXls1xz7Co2Nveh0hurzmJ6+RE/PUeRyRdllQyRmY2MekUi2T6vX73cSCPjp7t4fMD2edRKJOCMj\n",
       "TzA/f4N0Or0nm19amkKn01cDpkQiRS7XMD19tVp6vX37Ep2dB9Bo9IjFEoRCCcvLEzQ2flC6/eEP\n",
       "/5rx8XVKJS1dXV9CLAazuY35+RcxGPqRSrXI5UpWVy9w6NAAhYIYkUhAKLSBQJBDr2/j5s1X6eo6\n",
       "QkNDBzdvvo1YnOHIkUcQiyW7iywBarWOmZkbNDa2sbAww+TkJSBPW1svR48+RCjkprt7mPb2Xhoa\n",
       "WpHJNIhECczmvQu+iljDv7T4/qfFZ2mDWV5exu12c+7cuc/hzD4X3LUk+4UVLrjTMfx+ZV+J5XVi\n",
       "C2usmAc4PFjuz6oMwlwuB7paBAMPY968yLD/FZYO/S4/3urk+XcKDLWL6WqvRSnLEwwEPlERpqya\n",
       "EiGbzeLxCcgXBPT3Gu+Z/N8nHTuZTBKLxXblwlSfOClEIhEMhibkcgm3br3NhQsv4/GUhQW8Xid2\n",
       "+35FGSiXSUUi6OwcoqGhjZs3L1SvrULb39xcQafT0N9/GKFQztrawr7faWpqJ5nMMDFxnVjMT09P\n",
       "WU+2vb2HmZkZYjEtpZKQ7e1xhoefIZ1O72Yk83R3P4jd3oTb7SSbzTA7ewGdzojfn8FgaEGlktDV\n",
       "1YVIJEGhMKBSiUinN1hYuEoqFSMc9rK1dYkLF/4WgUBBOp3h0qUJLl9+g+bmdo4cOcP09E0CARen\n",
       "Tz/OsWNnUKmU5PMRhMI4LS1NjIyc5vTpBykWg7z55t+zsyPgkUd+i1OnniYY3KS2tgWBoMTlyy8z\n",
       "NnaewcFHOHr0DBKJhGQyxs5ObM+epN/vRCxWVQNoBR7P2h7JvAq2t1f3ucN88J4Dq7UZpVLNiRNP\n",
       "43avsrAwufuMSrjdq1U91grq65swGuuZmLiCy+VEICjsOW5raxdQ3jMEmJ+/zfnzY+RyIjo6nmRr\n",
       "axqrtRun8wrJZAidDlZW3mBs7K8RCj3U1XVTX9/K4uJt/P4lpFIbYrGC+vp+vN553G4H0WiY/v4R\n",
       "5HIFpVKRbDZHOp1Cra4hlyvwgx98j1jMy8jIYxw79gg2WwNisZjm5i5WVuar52owmFlcdO0Tovhl\n",
       "Ey74LOcbj8e/EBnmFzZgVnA/g4n7+Vdw9Z7iqcfrEAoF5PN5YrHY7updhDybJv4Pf04kBDvKOg6G\n",
       "3kCjLHJuRMZguxCxSITJZEIileLzeknE43c912w2i9/no5DP4/UJCGWVHOmVI9rVfLyf15jL5YhG\n",
       "oxQKBXS6u+9H3g0eTwCVqoHe3uM88sg3aGnpZmrqfS5ffoOdnehdS4AATucaVmt5Iu3tPQrkmZ+f\n",
       "oFAoVEvrGxsfmAr39x9haWm6qhpTgVAooKNjgGvX3uHAgePVAJ9I7ACN7OxkcTiuYbN1otOVM7fx\n",
       "8Tdobz+CXK6ittZCJpPl2rWXCQTcKBQmurr6MRisHDr0FB7PAoVCgatXf0w0uonVKkehEFAs7mCz\n",
       "NWGxdKNQyKo2WT6fkxdffI3JyWtYLHYefPAJgkEvo6NvIhQKkErFyOV6hoef4MyZf8XAwAgNDV0Y\n",
       "jTbM5ja+9a0/wmy2EY9HWF1dIJuNMTr6OiZTE1ptDYcPf7D/t74+i9XatmdR43I5sFhaiMdjeL3b\n",
       "bG2ts7a2gMfjQqPR73sOPt/WPuk8KJPo/H4P9fXl9+RyJSMjT+J0LrC8PIvb7UQul6PTGfd9d2Dg\n",
       "OPF4nFu3Luyz2AIYGhphZWWeaDTAj370I1IpLXp9PSZTGwJBkeXl15ib+0cMhg4Mhm4Mhn4SiSJt\n",
       "bX1IpQo0GhWBwDLRaIFsNs3g4HEOHXoUr3eLpaULDA09hdMZQCgsC7TL5TIkEgkzM7fI51NIJAL6\n",
       "+o4hkynIZDLkcmVlqKamHsJhL7FY2Sqw3LerYWtr+65j+FcR98Kp5JcBvw6Y9ymYFHM5tv7hZd5R\n",
       "HOHRh0wkEgl2dnaQy+VlBp1rneB/+zNu1H2V/zfz20wJhtH2DHAu8xqyuIcL8yK80XJ2qNPpMJpM\n",
       "pNJpPG43oWCQaCRCJBzG5/USCgaRSaWsbgmJ5hWM9EmQyvfT9O/p9RWLxONxEokESqWy6i/6abG2\n",
       "FkSza6EmFAppaurh7NnfIh4P4HZv4/O59n2nVCrh8axSX99WlVE7ePAMq6uz+P2espZuuKxNWmk3\n",
       "MRrNmM2NLCzc3vd7icTObjm3HGhzuSyTk4tIpUYuX/4By8tX2N6eZ3z8DdbXb5LJZFCpLLvnLCAU\n",
       "cuJwTNHdfYKBgeN0dPTh9boQCmWoVFY2N0fJZlMcOPAoAwOnsNtNKJXtdHU9Tk1NG1qtEbHYyJkz\n",
       "/yNGYxPhcIS/+Zv/wtraMmq1huPHHyKRiPN3f/fnrK2VSVAjIw/R1tZNW1sXEt9Cd2YAACAASURB\n",
       "VIkIn8/DkSOPIhQKcTqXeeml/0wsFkelMnH69G+iUMhQq03o9R8EKLd7lfr6coYXiQSZmRnj2rW3\n",
       "WV6+yejoqywtXWNra4apqfdIJHa4evVVfvrT73P9+ntsbKzg8TgRCiXo9ft7Z73eDdRq/R7TaaVS\n",
       "zcjIE6yuTjE9fb3ad/lhiMUi2tuHWFmZRa/fv3+t0xloaurhL//yf2djI49Mpqex8QFcrvMolWlC\n",
       "oQRyeS0HD/4Oen3Tbslch9FY/q25ucuIRApyuRK9vcNIpTIEgiylUgGVqpZw2EM8LiQQCABlSb5L\n",
       "l35CLrfDk0/+Np2d/WxsOJBKK/2wZTGLYrGIxdLAwsJ0VV5RozEzP+/cJxT/q5phxmKxL0SG+YXd\n",
       "w6wwOSvKM2XXhXsH/xvvszG6SPErX2e4v2wYq1arkUgkpMeuMP7uEi+b/wcENWZ+66yYw11CJBoN\n",
       "AlsrlqQDdXiJ6Xg93pgQpUyAWi5CpVLuadkQiUTI5XLi4QwTbh16WY6DvVok0r3l0Er2dS/2aasy\n",
       "ffE4YrEYjUazJ1PJZDJIdg1yPwo7OzvMzfnR6/eW+oRCIR7POi0t3SwvjyMQiPaQPHw+F8HgNt3d\n",
       "h6pZukQiQy5XMjt7k8bGjl1DaSNm8we9cAaDkampG1gs9chk5eecTMaZnLzK4OADrK3N09LSzcWL\n",
       "b+Jw+FAq1USjHtraTjA4+PBu1jRDqQRe7yZWayu3br2P3z9Hff1BOjoOIJVKEYlEhEJBnM5pisU4\n",
       "NlsLuVwRkUiCzdaMUikjGIySzRYwGq3EYiHy+SjFooy2tmGi0S12dlKMjf0UnU7HwsIMJlMTjz76\n",
       "VZRKNaurMywtjeP3b+F0Ohgbu0BNjZ1QaJv5+Rt4vVsUCmKeffa72O1NiERiJibO09Q0gFarp1SC\n",
       "QGALp3MdmUzF5OQltrbmyWSiyOU6nnjim3R2HqKpqReLpYVw2M3w8MMcOnQau72JUimLy7XM6Ogb\n",
       "KBQ1NDe375PDW1i4hcXStI+wJZXK0WqNvPfei/T3H7lrhgmwvDyDXm/E41mjoaFj3yIsmYzz6qsX\n",
       "yOdb0ekEJBI+VCozvb1fY3X1IjpdE/X1Q3g8DgSCAgZDkVwuQzIZZmHhMkNDj6FS6cnnUxSLOVZW\n",
       "RmlvP0kuB4nEFgZDA7FYBImkwI0b79DU1MzQ0ClEIjF6vZHp6WvU17dWRSQqvaFlpaSbGI1mUqky\n",
       "Ozwa3cFgKP/vK61s5f3ze68qdj/wWdpgLl26RH19Pb29+ysDv6T4dR/mnahswMOn1z/9LFj4X/4j\n",
       "b4kP8ewfDNNQp0cul1MqFpl6+SL/fbkVv2WI33xYyelB0R5Cj0AoQlBjQ1Vrojk5QyHkZT5aw5oP\n",
       "EvE02UyBbKZEIpbD488x51WSyIoZqM/T0qLfR32He0dsKhQKxONx8vk8arV6n0ABfKAM8nGTgsvl\n",
       "xuWS7pJk9n53bu46IyOPY7M1MTt7lWQyXe3FXFycwmAwYDLZqmLppVIJna6GSMTH9raTQGCToaGT\n",
       "e5rQJRIpxWKJjY256t7ZxMQ1TKZaensPsba2TCaTxOcr0tp6lng8ik5XQzYrwmxuYG3tJj09p+ns\n",
       "PIXDMcb09HuEw+s89thzyOVawmE/Wq2BQqGIz7eM0znNyZNfw2rtJBBYwuPxYbe3oNUaSKWCeL0R\n",
       "amrs5HIZstkouVweudyAUqkgmUwSCoWYnb3OmTPPcPjwaRQKJbW1VlpbezCbGyiVBMzPj2O3D9DY\n",
       "2IHV2kJf31FCoU16ekaw2Rp2g7cLl2uz2jri92/x3nvfJ5FIoFYr6ewc5MCBUwQC29TVdWA2f1AG\n",
       "39mJsLo6zeDgyV3JRhkGg4XGxi5cLgc6nY6lpXGKRQEGgxmBoLzlMD1dXoSIxfsnWY9nG6lUgsfj\n",
       "pKamFuWHVKeSySTz89c5c+ZZgsEwgYBz3/7p9773n/B6DRQKOyiVUkQiEy0tj7K5uUAsNoVAYKVY\n",
       "hGjUicXSQH29Eq/Xw8zMTxgefoa2tn5UKg0LC7cJBhfo6DhGXV07wWAQhUJFMLhKMllgZWWUkZGz\n",
       "e1pjJBIZiUSUYDCA1Vq3e099rK4usLIyx8bGEmtrCyQSEba2VnG5nMRiYfr6ushkMtU5pzLvVPgF\n",
       "v6ioSFB+GpLSu+++S29vL62td68e/BLi16SfO3G/SD+lUonQgoPQ9SmSh08w2GdGLBazuZXiv/7t\n",
       "Jm8Genj0TA3/+lyeZutH336BXIWoc5jmIwd4qN7LIdkSsriHoCfKtidNMFZAIS1xrDXHqYNqTOb7\n",
       "t39QUeqJxWJIJBK0Wu1H/ok+zf1cW/PfVQrP7V7BYLDsHqOGkye/hN+/zvj4NUqlEj7fetWiS6lU\n",
       "Vlm4+Xyezs5hlpcnKRRySCSy6p+9go6OfpLJDG73BoGAj2DQTWdnmeHZ2TnIlStX0esHKBTyBIOr\n",
       "dHefQq2uYWLiHZRKFbW1LbtB2Eg+X8BkMhMMerBY7Ph8HrLZLE7nJEJhmvb2U4RCAcRiMb29Z8hm\n",
       "w6yuziASSWhsbEKlErC8PINYrCCRyBKPr+NwzBAMpslmU9TXH0cur+O1157n2rW39uy/qtUa3G4H\n",
       "fX0nOXv2KTo6+rDZ6vH5NsjlhLS0dFc/u7o6TUNDD1tbS1y+/CMmJt6nVBLz9NPf5fDhcxiN9WQy\n",
       "GbxeJ1Zr0x59XZfLgdnchFi8d+ETCGyjUOg4depZRkaewOtd5+LFV4lEQmxvO9DpzHtaVe7E5uYS\n",
       "fX2HOXDgBGNjF4jHo3veX12dx2ptQCqVc+jQCUKhEBsbHxC23n77v7O+nkWhsCESBfF608hktUSj\n",
       "TmKxBQwGGxZLC4uLF0mlYmxvj7KzE2R7ewq12kZLSzn4SaUSYjEnAoESo7FMfGpq6iCZLHMMVlev\n",
       "YTB0o9PtLwt3dw/jcq0yOzvBO++8XGXM9vUN8pWvPEdtrY0zZ57h8ce/ypNPfgO12k4ymUSlUpXV\n",
       "vIRCisViVU+5Yu9XKeX+IvVqfpaS7BdlD/OXg9/8OeBe7C9ks1mSySSev3+ZlbYTfOXLLYR24CeX\n",
       "46w5M5zRexj5V4cRicWEw5/OA1MgEiOobcBQC/s7Fj8dfp5FQT6fJ5FIIBQK0Wq1P3c5KZ1OEwxm\n",
       "qa3dv9/h8axhsXyQUcjlSk6ceIYrV/6Z8+f9yGQS1Gr9npJ05XzKPZ81pFIxksk4Eomsus9Zmah6\n",
       "eoaZnb2OVKqgo6OvmnHLZDIymfI+cyCwjM3WjVSqpLbWzNTUyzz11B+SyWSYmbmJSgW5nJoTJ/41\n",
       "c3PvksmksFjqmJg4j0oFfX0Pk0qlWVqaxGZrQqs109ExyPz8BEajhWBwk3h8nkRCjlQKer2Nra0J\n",
       "BIINhEIlGo2VbDaIxTJEKDTF/PxtIhE/7e0HaG7uZXz8fcRiE/39x/Y8o4WFMQ4cOFstYTqdy8zP\n",
       "36a21opOZ6ez8yiZzA4ej2tPudTlWkKvt6FWa6rZT6FQwONZo6vr2G4AFVQrF1tbZQYsgE5n5NSp\n",
       "Z1lbm2F09HUymTSDg6fu+tw/6L1sKitapVOMjr7JqVNP72rt5nA6lzhx4nGgrLx1+PBDjI7+BI2m\n",
       "BqVSzcWLY2QyFvL5GWSyGhSKRszmQSCFWq3AbB5GLDYSDDqx2w+Qzd5gdPRFdDoDra2HWV9fpLW1\n",
       "j/n5i7S19RKN5tnZiaLR6NDr9ezs+EmlQphMNopFBcvLGwwMdFfHW7FYZGtrA5/PSzjs55FHfgOL\n",
       "Za8MnsFgZG1tmc7OXsRiMQqFmeXlTY4fN1bLsZUSZ+VeF4tFcrkPjLErY7Yybn+Rs9AKvih9mF/Y\n",
       "DLOCe9F2USgU2NnZKWuliiV4XniNqfZzBHJa/uKlDIal8/zxwCynvj6C+I79gM9rNfmzXF+pVNpD\n",
       "VFKr1Z8qWH7SsQKBAMWift8kkM/nCQQ8+9pJxGIpx48/yfr6HOl05iMnj2DQh1wuo7v7CPPzN1Eq\n",
       "lSiVyurklM/n0etNJBJ51tcXqa8vO5bk83lWVrbo6HiQublbJJMBGhoGAPB6F7BaO/H5XMzM3EKp\n",
       "lKFQFGlsPIbb7eLAgcfJZiP4fMtsb8/Q0XECqVSOTqdHLlfjdm8A0Nh4kFQqxIULz6NW6zh16it0\n",
       "dfWSTBYoFBSoVDbsdivDw4+hVNaRzSbZ2lpBKjWzvLyGTmfE53Px/e//38zPz9PQ0Ew2m6pe+/Ly\n",
       "OBKJmnw+xcTEed566x84f/6HGAwtnDr1m5w8+SR1dS04nYs0NHTuuW8ul4P6+nbEYjESiQShUEg0\n",
       "GiSdLi8EisXS7n0q7Paobuxjx7a09HPkyDm2tlZwuzf3eGVWsLm5TF1dczWgt7f3YrN1MDr6Jtls\n",
       "ls3NFfR6Q9V5BkCvr+HAgQe4det9/v7v/zMej5hEYgW12kBNzQEOHXqKYNCD37+OWFxCpbITCKzQ\n",
       "13cGl2uJWCxAc3MPhw49TiKxysrKNBMTbyESQUfHCA0N7ayuzlMoFJifv4peL0Wn68RmO4DbvcD8\n",
       "/AYOx8ruWHBx/vyruN0OHnvsKxiNZuTy/co2nZ0HWVtbIJ8v7F6DEaczws7Ozr5FeUV5qmwfV9ZY\n",
       "VigUiMXiPa4+yWSSdDpdDaqf17zxWdtKPs7a7FcFX9iA+eGB+7MMwjtLlWKxGJ1Oh//1i8yc/TcY\n",
       "Tj5IwbvF7/r+Tx79UieakQfveuxfRGSzWSKRCAA6ne5jBQg+KzY2/CiV+wkfXu86Go0RheIDr8rK\n",
       "5CCRyDCZLJRKBRyO2Y/43UUaGlrp6xsmkUixubm4Z0Iqs5PliETC3V7EOOl0mvX1FWIxNTU1FnZ2\n",
       "XEilRoRCIaGQm1QqyMDAw0xOjqHV6kkmvdjtPTQ2dhIKeZBIZNTXD+LxlMk5Pp+nej6NjW1sb28Q\n",
       "CLiYnn6bjo4BBAIZCoUBkBIKbSIQFHadRI6RyRQoFELU13ei03Uhk5UoleSEwxkuXTqPTqfHYGhk\n",
       "cPAka2tzvPfeP/Hqq9/jlVf+G6+//gLJ5A5OpwOZTMvg4GlMJivnzj2LVltuCYlEfKTTmT0CBOl0\n",
       "kkgkRENDW3WCzmaz+Hwb1NV1IpfLkUqlSCTi3T1RN2KxArVaW+0lrmRIkYiP4eGzyGRCLl58jXg8\n",
       "tuc5ulwrNDbulcrr7z+MVmvh+vU3WVmZpr39wL7nWl/fgkym5tq1ZeLxIAZDM3p9PXp9EyZTE0Jh\n",
       "jlQqilCoJBLxoNXWIhLJyeXcJBLb9PU9REvLYYaGniGT8TI+/jaNjYcRCoXYbHUUi0IuXfohxWKC\n",
       "Awcep7W1j+1tD4FAgM3NBdbWfFy58i6Tk5fo7Ozn1KmnsdmaaG7uZm5uP/O6pqYWtVrL+voyUP6v\n",
       "SyQ1rKxs3HXc3omy8XZ5fMpkMpTKsvOJTFb2Ei0UCqRSKRKJBKlUqlrK/UUo48ZisS9ESfYLGzDv\n",
       "xM8SMHO5XLWnUqvVIpPLub1c4q9dB9lqGOZ3Va9wzvW3WH//j5G0dO37/v0WE/hZjnVnpqxWq1Gp\n",
       "VJ+pVeSTjpXNZlld9aNS7V+Jut2rWCzl7LIiQFD5HbfbiUaj4dSpZ3E4JtnaWtvz3Vwuh9e7QVNT\n",
       "WQptaOgks7PjJBKxPZ/b3FxFo1HQ33+CpaVxJBIxbncMg6EZv3+dmho98XieWCyCw3Edu70Xp3MN\n",
       "vb4Gv38VKGC392Ay1aJU6tjYWGBt7SYPPPAV5HIhDsc02Wy51K7T6UmlIty8+QptbYc4fPgZ6ura\n",
       "eOedF3E4ZujtHaKzsxGZTEmhIEIuN+J2L2Ay1dLUNECpJEAgAJXKzOLiFj/4wV9z+vSXGBw8xoMP\n",
       "PsmTT36Tp5/+FlZrPY8++k2eeupbPPDA4/T0HCQU2sZsbkap/GACW1uboa6uc8/z3Nyco7a2uSqa\n",
       "D6BQKPB61/cICwgE5RKhx7NCY2MnEolkj+l6uVTpwG5vYWDgQerrm7l06TX8fjcA29vrqFSqPdlj\n",
       "BQcPniCRyON0LmE02va9n8/nuXnzFtFoBoFAS0/PY6TTeerrhwiF3MjlInQ6KYFAjFBoHYlEwerq\n",
       "bTSaNI2N/QSD5YVfLBbAam2gsbGfS5f+kVQqTjabIpfzEY36aGw8jEAgIJ1O4PN5sFg6UShETExc\n",
       "wu128eCDz9DQ8IFsYHv7ADs7Yfx+z75zbmvrY2FhkmAwSCQSQiZTs7zsJZFIfOaFZ6WMW1n0qVSq\n",
       "PZWTXC5HIpEgkUiQTqfJZrP79u9/VnyWDDOVSqFUKj/5g7/k+HXA5LMFrzv7DxUKBWq1mnWvgL/4\n",
       "cZ4rN+P0//Of8W+k/0AtATS//6eIDKaf+5g/Lz7pWBXj5zsz5fvhqOByuVhe3uTNN7/P7duXiUTK\n",
       "/W7FYhGfb5u6uqY9AgSVcrnLtYrd3oxarefo0XNMTV0lEPBWf3dzc4WaGlOVdWk01tLc3MPExKXq\n",
       "Z4rFIktLk3R3H6S3d5BIJMr09BiFghmJRI7LNUtv72lqa+uZmxtFLC4RCqUolfJ0dvaztnaTlpbD\n",
       "1Qmkvr6FiYl3qKmxY7f3Mjj4GOm0l8XFctaxvDyGWJxGo2lAqzWzve0E1GSzMTQaHc3NvWi1Umpr\n",
       "jezsxNDp6kkmswSDDiyWepqbjxKJbCORmCkUCoRCZTuuOxEMeohEolWVIigHmI2NBdrbB/a85nZv\n",
       "0Nq6N8Pb2lrCam2qWjjJZDLCYR+FQhGzeW/wyufzeL3bNDa2VTOhShk3m02STqeor29BJBLR3j5I\n",
       "f/9Rbt16h9XVRTY2lqira7urZrNQKEQul2GxtHLr1rv7PnPz5kWmp9eQyQw0NDzE8vI7GAztyOU6\n",
       "trcngBSBwG0ikSkCgSnm518mEhlFpcpy/PhvkssVmJ4eZXNzjN7eszz00LeRSnVcvPgCN2++itFo\n",
       "5vDh32By8jq3b18lnU5y8uSjbG8vksulUCrl6PXlrPNOiMViuroOMjMzRiwWYWlpltHR93jrrRcZ\n",
       "G7vI1tYq58+/wtjYRS5deoNbt6a4eXNs3/X/LKjce5lMhkKhQKVSVX10P45Q9FnxWXkdn3Vx/cuI\n",
       "Lyzp57OWZCslq1QqVRUVD8bgjQsFXIESTxwTIf6//je0w0mUh8+ieuyZjx1sn2fA/DhUSD1lI+Wf\n",
       "n9TzcdcVCMQ5dOgJJBIpGxsLjI6+jk5npbbWilyu2mPqXLl3hUIBn89JX185KNTUWBgcfIBbty5w\n",
       "8uQTqNVaNjcX6e4e2HOsrq4hLl7cxuGYor19gLW1JZRKWVXOravrIK+//hOOHRvG41lBIhFiNDYg\n",
       "lxu4ffvHdHY+QDYbp7t7GIfjCvX1/fj9AVQqI8ViEa93BbFYiFCoo1QqolLVcPDg41y58iOKxTSl\n",
       "UoojR55hcXGWCxd+Sm1tLQMDD1BbW8Ps7DWam7uxWOqIxVYxmSysrZX3aMfHX6e+fhuZTIVKpWZ9\n",
       "fRKrtZtczstPfvIqPT2HqamxUiwWmZq6SlfX0T2Lm42NGXQ6G3q96Y7XZtHrbQiFItzuFcJhL273\n",
       "BrOz4ySTaaBIsVjuEfT5nMjlBm7dOo9OV4vFUo9Wq8flWkGrNe5rBQHY3FzAbm/Zcx6NjZ1oNHou\n",
       "X36dQMDD4cOnqyzcUqmESCQEBITDAbLZOI8++nVu3HiXW7fe5fDhhxEKhezsRPinf3qRZDJLc/Pj\n",
       "dHUd4fLlC9hsDzE9/U/E4yuYTB0oFA00NAzh8yWQy8XAFIcPP4lMJqWuronz5/+GwcGHUavL96S3\n",
       "9yTvvvtXZDIx6uoOEAz6iEaj2O1qTCYTq6tXaGhoIp8Xo9cr8XrXEInaUKk8WK1lM+xkMkEymWJh\n",
       "YRKvd5POzl7s9nqMxsOo1VoCATdjY5c4ffoZxGIx6XQSr3eWdDr9kQbTPysqWei/FKHol02Q4efB\n",
       "F7YPE/aaSH+cOHk+nycej1MsFlGr1RQFUt68VeSVKwUG24R87YwQ3fUfIXFNcsXyZQ5/+9lPZbh6\n",
       "Z1nrfuPDvaYfZ+r886BiyP3hDLVQKHD9+jJ6fRtyuRKzuZ6Wln7S6RjvvfcSMpmBtrZySfXOe7e1\n",
       "tUY6Hduzv6XV1lAs5pifH0ep1OJyORgaOrHneAKBgJoaM+PjV6ittTIzc4P+/mNVD8xoNMraWplo\n",
       "tLR0CZFIgN+/weLiVeLxAH5/kOHhM2QyMSKRDQYHn2Bzcxmz2U4qFWV7e4IDBx7dzW7NlEolNJoa\n",
       "lpZusbU1zUMPfRuPx43f79qVYXsAjUZHTY2dra0ZXK51oMTq6g08nnWi0WVSqSi5XBKJREgisYPP\n",
       "t4VIlEQoFOxqBe8wO3ues2e/zPLyJKlUYY89V7FYZGzsHfr7T+6KLwRwuVa4ePElisU8GxuLJJMJ\n",
       "SiUJoZCX1tYDjIw8SmfnIbq7D9PaegCPZ5WjR88ilUqJRj0sLt5mc3OZlZVpWloOYDKZ+TDGxy/S\n",
       "3X14j7pP2bNSTTweJRDwIRYXsdmadidpKJXKY3B6+gZms53a2jrs9mY2N9dxuZax2Zr5x3/8K8bH\n",
       "xzEYTtDd/TBe7y0kEhnR6CrRqIsjR/6ASGSTbDaHWGzFbm/F651BKo0wMHCaZDLO0tIFursfIBCI\n",
       "IpVKSCTCbGzcoK5ukEAgwebmdWpqbAwNnWRm5gLh8BoHDjxES8sg+XyJWGyHYjGGUKggFsuSy0Vw\n",
       "OGaZn7+JTCaiu/sgqVSCY8cexmi0VKUOlUoNfv82qVQKk8mCWCxhZyeNRJLCYtl/D+81KlWAShCt\n",
       "lNErC9pcLlftZa6UcO9stYPyf1ksFn+qeeH555/nueeeu6/X9Dnj18IFH8adAbNCELkTxWKRZDJZ\n",
       "NUWWyxXcdgh4/q0COjX8zjkxnbUZ0j/6axK3rvOjyxrO/YffR6P+5MQ9k8l8rgGzcg3w8abOPy8q\n",
       "JIQPB8xAIMDqahat1rr7SgkQUFNjweNZR6NRsba2QE2NZU8f3/z8OFarnZoay57fMxptBINubt++\n",
       "Qnt79x5lnwpkMjkCgYQrV36KwVBDT0/ZZiqdTnLlyhiRSJClpeuo1SIOHnwWvd7O1tY0IpEGkahI\n",
       "NLrG2toEHR3HMBrtZLN5fL5NfL552tuHqa1t2C17JTCZzDgc5Uk0EgmztbWBSCSju/vg7uTpxGyu\n",
       "Y2cnRDTqY27uInp9LZ2dQ6TTKfr7n8Rg6CaR2EEqFaDT9WG391EoxMlk0giFJYTCIoFAmIWF8/j9\n",
       "PpqaOslmU0SjAUIhL5OT5/H5vGQyMWZnR3G7N4hEguTzcPbsV+ntPYrF0oTRaMXpnGVk5AlUKk11\n",
       "keLxrJFMJhgYOEFNjQW7vY329kHEYgmTk1fIZpMkEjtoNIY9GriBgIe+vsP77n/ZAeUqDz74LB6P\n",
       "C7d7Eau1FYmkrIoUj8dYXh7j4MGHqudgtzfj8bh4//2XuHp1mmLRTFPTg1itvczO/h0mUzNabTcK\n",
       "RTPJZJrNzbdRq3uxWrtJpbwoFGC31+J0OvB4JmluHqC+vg+1Ws/o6Gu43dPodK1kswUMBitKZQ3R\n",
       "qIOtrRmamnopFDS7r6vQ62uIRMLkckVcrmkikQAOxwx1dXZOnHiMhoZ2jEYLsVgQn8+zz11HqzUw\n",
       "PX2NhoZWxGIJYrEUl2uL5mbLfXNH+ihUqjYVdaJKEL1zHzqbzVb3QCs8gk8TMEulEi+88MIXImD+\n",
       "6hedPwIfV5KtlF+j0XJjtU6nwx2W8JevFBhbLPKdx8V89bQYRdRJ7L/8H5REUqb+bpLUU1/Hbvl0\n",
       "Env/EiWMilJPMplEqVSiVqs/t30HlyuARFJhx5YoFIqUSkV8vi0UCg2nT3+Z1tYuRkdfrzIMc7kc\n",
       "weA2DQ0dd/3NgYETBIMuUqnkRx63paWTYDC0WwIsY35+Er8/woEDj2K1tqLX96LV2nC718hmBRw9\n",
       "+jRnznyLdFqMwWBke3uWhYVRbLY6lpdvIZXKMRrL/aKNjW14vW4WF2+RSvmxWPrR6zuIRJw0N7ej\n",
       "VKqwWusJhyOMjv6EmZl3sNlaGR4+RzAYQq+vo66uGZFIht3egNV6gPX1ZQSCPG1tg3R3P4zF0oBG\n",
       "00CpVESns7C05ESrNSMSSfD7XXi9TgIBN07nGh0dR+noOMrZs9/g0Ue/gUaj4NChB1GrdeRy2V2l\n",
       "nRX0etu+8urm5jz19XvbTqDsiTk8/BDnzn0NiUTExYuvMD4+SjabwelcxG5v3/cdALd7Dblcg9ls\n",
       "44EHHkUqNXD58itVMtbq6hwNDR1VEkt5H1XKwYMnmJhYJBRKoNH0YTa3MjX1V0ilKqzWs2SzGWpr\n",
       "63E6RwkGQyQSMTY2ruP1LlIo+JFISni980QiOxQKEhKJGLOz75LLhYlEhKRSSYaGTlBXV0ci4SaZ\n",
       "TKNSaRGJpHR3D7KyMkskEiSdTiCVFtnYGCcaLfeRms3DLC2FCYfD1evs7z+G37+N17tX/1ij0WMy\n",
       "WZmcvEU6nQIEiMUm5ucdHzleP098EqEIypWpCqGowor+8JbLF4XwA1/wDLNS178zK/qw/FuuKOPV\n",
       "q0UuTBZ55JCIp0eEaJWQuX6e5I//FuVjX2Xj/Q2ur4v42v/z7U+VXcInl4HvNSoMOolEglqtvm/H\n",
       "vZtubbFY5Nq1RXS6VqBi2C1AIBCyvHwbnc6M2WzHYDBTW2tnauoKiUSCTCZNoZDaI092J9bWllEq\n",
       "5ezsxBEKwWDYr8yysjKPUikhHk/uUvTlrKwEaGl5hFDIjUiURyAwEQ57cDgu0tZ2nPb2AYrFPMvL\n",
       "l2lpOU5Pzymi0W1mZi4AWVQqe1XcXSKRsL3tYH39OjpdG9lsmkOHTrCzk8DnW6ShoZdUKobLNUMo\n",
       "tM2xY7+BwWBDrTaxtTVNOLyD3d5AOBxCIFAQjUbIZtNEIqvU1w+iVtcQi20jk6mRy2sIhdZIJDJA\n",
       "jmef/TbNzV3U1bWSTu8gkSgZGXkEjaasxBSPR5ifH6en53hVd1gkEjM5+T4dHUN7XEiSyTgLC2P8\n",
       "/+y9d3ib533v/cHeIECCIECQBPemJGrb2rYs79ixkzhOfKU5mddx06RJ1lX9DwAAIABJREFUk5O8\n",
       "Ob3S5HSc9jRvk/ZN05OkzWiT1HG8p2ztYYkaHOImwQkSHAABgiD2fP+AAJEiZUuWZDu1v//wIoBn\n",
       "3s9z/+7f+n6bm3esiHpkfq/T5VFQUIzFUoHLNU5n5ykmJ0e55ZZ9qxaJdXefwmKpRq83XPQerUQi\n",
       "CTo7TyKTKRge7mb9+t3LaAwFAgG/+c0P6OubRSQyIpcXEggMsLg4QX7+VsbHe1EolCSTKaamTlJU\n",
       "tAOFwsjCwiSFhbVIpS58vjG0WjVSqZxz5/Zz4sSTxGIx1q//EM3N23A4hujqeo1kMkhT0y7y8moI\n",
       "hWJEo258PhdyuZrW1v24XENotTk0Nu7C708yPj5IODzPunV3MjPjJpUKodVqEInERKMRWlqOEwr5\n",
       "GRrqpb+/nb6+doJBH52dZ3E6HQwPd+NyOZmcnMZqzX9P9i0uLeiKRqMolcpsKDeRSBCPx7Oh3GQy\n",
       "yf79+4nH47S1tfHII4/ckHP4xje+wVe+8hV+9rOfceDAAe66664bzvV9FfggJHs5LheRjsfjBIPB\n",
       "iz17Ss70w28PJSgtEPLYXhFFRiGpoJ/gkz8lPjaI+lNfhVwzHZ/+Np7PfI299149j+KVwsA3GpkF\n",
       "QFpBQbMq/+uNRGbxsdRgulwubLYQarWRTCg2cw4XLpygsXEzMlk6DCuXq7BYKhge7uDChbM0Nq5f\n",
       "VbkCoLPzNJWVDVRUNNDRcRKtVo9KdYltJJFIcP78MZqbt2MwWLhw4Q1SKRHBoAGpVMvAwFGKitZh\n",
       "NBZz8uRTKJUqbr31QYRCIf39xykqqsbj8ZOXV0BOjhmHoxOlUsniYgilUotGk4PLNcHY2Fm8Xigq\n",
       "KqexcRMymQKVKpexsS5cLjsLCxPU1GxEpSokGPRhNJpRKFSIRCmczklASji8gN0+g06XT3n5OsbH\n",
       "zxIMRlEocpBIpMRiPkBOOOxHoVAyO2vH73exbt12EokEbW2HaGramfUaUyno7DyBUmnAak2HQQUC\n",
       "IS6XA4djjDVrbl32HAwOtiKXa1coibhcDmZmJlizZmv2M4lESmFhGYGAl4mJcaJRH7m5JqTSS5Oa\n",
       "3+9lYKCTDRt2LotiGAwmVCodr7/+JHK5lMbGrcuONzlp49lnX8XvF6DX16LRpLmH4/F5FIpyLJZK\n",
       "qqv30N9/EpEoREPDh4lG3RQXb8LlGsbtPkVeXjXBYJK5OTsSCZhM1YhESWZnz9HdfRiIIpfnEQql\n",
       "CIXShULRaIDx8QFcrmGCwVmKimqJxaTEYkm83nlUKj16vZXFxSkSiSg6nZne3l46Ok4yMtJBPB4l\n",
       "FPIRi0VYt24LVVVN1NdvoKZmHRZLKYuLPnbsuBurtRKpVInf76G8vPg9W1mayXNKpdJsLnRpKFco\n",
       "FBKJRPje977HD37wA2w2G+fPn8dut5NIJCgoKHjbc5tAIOD73/8+jz/+OO3t7Zw8eZK9e/fe4Ct8\n",
       "S3xgMC9HxmBmGraFQmE2p/frgwmm5uCxO8Q0VwkRiwTEBrvw//sPEZfXovroFxCqtfT+5U9ptQv5\n",
       "+I8/g0p59Q9IPB4HuCntG7C8qEculxOLxVAqlTc9FHw50XsqlWJgYBSfLweFQoNAcKkyL5P/yuQW\n",
       "MxCLJeTmFtLefgiJREFhYekKVQyPZ46JiT7Wrt2OXK5EpdLR0XEco7Eoa3yHh/tIJMJUV69Do9ES\n",
       "CAQ5efIMVuuOi20DC5SVbWJ+3sXAwHGKitZTVFSOyzWO12unvv42BAIRdvsgbreNoqIaqqu34fEM\n",
       "MzDQQU5OPqdPP4tGU0x9/SYCgUVMpmIEAgEymZzR0T6mptppaNiNxVJDTo6e0VEbcrkSpVKFVpuP\n",
       "xzPGwkIAl2sCvb4Qs7kaSBEMLhAMzpBIyIlGE4TDs/h8fjSaQvLy8gkEgoyO9lJUVEwg4CGRkFBT\n",
       "sxZIe/QLCx66u0+zdeudyOWXFG66u09iNldgMJiy9zKZTNLefoQ1a25FLl8eWuvra8FgKMFgWJ5D\n",
       "BhgYOMeWLXcikSjo6DiBQJAiNze93/7+VrTa/GUi1RnIZDImJ4eRy3NwucbIyzNnvcyf/vTvGBuL\n",
       "IRIpEIkiJJMycnLyyM+vJRxOIpMZ6e8/STzuxWQqIxKJYDbXEo2GcDqPoNPlIBR60GqnufXWMvbu\n",
       "3ci2baU88MAGHnxwF7fcUkNubgq1OkwsNkU06sTh6GJ2Nk36ALksLHhxOkdIpSQEgzEkEigoMCKV\n",
       "JgkGF+nsPIjLNUpRUQVarRWl0kR+vpmGhg0sLDiz4fXMPc/JycXjmWZmZobKyhp0ujw8Hj8iUYj8\n",
       "/NVVW94LiMViyGQrZQIzXqhMJuNjH/sYO3bsIBQK8cADD9Db28svfvELtm/fTkHBymfmalBRUZG9\n",
       "d4uLi5w5c4aHHnrouq7lbWBVg/m+bSuBSz2VGakotfpSTueBbSK0yov5zXCI4P4niQ/1oPro55GU\n",
       "pwmuoy4Pjp/9J5pv/5D8vGvTn7zZos6BQACRSJQVdQ6Hw+9oG0sqlcqWtI+MuMnJKV1hrB2OdLP7\n",
       "apieHmL9+tsQi4WcPPkqt95657JioPHxAQoLy7IrdLO5hEBgA2fPHmTnzvsRiSQMD/ewefPu7DZp\n",
       "SSkLg4MXWFxME6ynUinOnn2B5ubbkEoLGBzswO8fo7JyM0KhkKIiK4ODLaRSCzQ3p3lON216mFdf\n",
       "/QlPPPFXbN36ITZuvBOJREJHxzkmJ0cwGgvp6zuB2VyAXK7Gbu8iP9+KSqWloqKOkZFeNJqtSKUy\n",
       "1GozAwMHkcm0OByn8fnmEIulKJU6HI5zqFT5JBLCizR7KUymWhIJIU1N93Hy5E/51a/+ke3b93DP\n",
       "PZ8hlYJ4PEYsFsNu76GoqAaV6tIzHQj4cLudNDfftuxeT04OolDkLNPMhHRxlNM5SWPj8gpkALd7\n",
       "mmg0jtlcjFBoxWwupq3tJLOz4zQ2bmNycpjt2z+06tgOD3dRWFjJxo276Olp5dixF6iubmJ8fICh\n",
       "oUXE4jwikWn0+mL0+jXIZEH8/jh1dRtwOMYIhfyoVCkmJkbQaFI4HGNIJD7U6kk+8YnbuPvuOzGb\n",
       "zdlncKlKSHV1NTt27MgWwQiFQnw+H319fYyPTzI15WVyUoHb7WZiYpxwWMzsrAKPZ5TCwkrWrNnJ\n",
       "unV3cOrUUwwMdNHcvI94PMmZMzbM5kVyc4vo7DxDMBiktLSCeDxGPB7HYCjm7NnDnDolpLa2AY3G\n",
       "SFfXOPn5uRgMq/dqv5u4lrnC7/dTXFzMo48+yqOPPnpDz+PnP//5Dd/n9eB9bTADgUC2ATgcDi/7\n",
       "Lkd1sbTa1k3wuV8hrmxA+6XvIVgyabd9+0f0Wbby+c8v95DeLSSTSUKhUNabXBoWfaf6PjPHyeQy\n",
       "p6en8XohN3dlBfLMjJ1t2+5bdT9TU6PU1GzCbC6mu/sMJ0++wq233olSqSYWizEzM8rOnfcv26ay\n",
       "so5g0EdLy2sYjWXk5GiyeprRaISRkVkaGnZy+vQrqFRR9PpCzp8/gkgUprHxdlKpFAcO/Ds6nQy9\n",
       "Pi3ftLAwh0wWJZUys7AwT06OnsnJMQIBP3q9kUjEd1EhRUJVVT3nzh3Bbm/FYqmgrGw9k5Pj9Pe/\n",
       "weBgC2vX3kFeXj7z86aLvLU+JiZ6UCpFWCxFuFxuVKpcSkvTKiqJRIBYLERFxRai0TiLiwN4PBO4\n",
       "3Snm56coK9vD4OBLnDjxGo2N27NKGPF4mLa2o1RWruGNN54jEgkTjUZwOIZJJsW8+uovEQozNGwy\n",
       "xsb6sFobGBxsJy/PlGXcGRvrwWAoWTV/NDraTUlJXXbBotXmsnPnffT3d/Diiz9Ho8nP0vItRZpY\n",
       "YYCtW+9DKBTS1LQJi6WM1tYjPP30bwkGqwmHbWi1VqzWexAIwkxPHycnZw0LC4ssLEywceN9tLX9\n",
       "ELW6Crncy6ZNhWzYsJ1t2x6irm550dLSKtD0PU1kDWnmf7lczsaNG9m0adOyEOnIyAgHDx6nrW0Y\n",
       "h8OD3d7N6OjAxQhBmpnpqae+j0plwGwuIpn0MjkZJxBY5OzZf8NgKESpVFJQYEStViAQiDh1aj+j\n",
       "oz3IZHKEQiFjY3380R899La9sZuJaxGPvlZavDvuuIOZmZUsSX/zN3/D/fen3+u//uu/RiqV8olP\n",
       "fOKa9n0z8b42mFqtNkvAfbkxSQYWCb36O+JjNpQP/hGSqsZl3y/2j+B+9jVqfvoL1Kprv40CgSD7\n",
       "0l4vMqLOwWAQqVRKTk7Ou1KFm1nFx2KxrI6ezWZnbGwMm82G0WjFaq3BYDAxO2tHLtesOqkuLLgJ\n",
       "hSJZJYjGxi2IROKLRvMuZmYc5OTkLstXZrBmzRZaWg5x7NjzPPzw54HMJD1CMmm8mHtMEYupGRzs\n",
       "YmKijQ0b7swWyahUApLJHHw+LwqFCpvtDSorNyMQaOjv70ChUDIyco6Ghg0UFTVz+vTv6eh4jbVr\n",
       "9xGJLBIKOVAo9FitzQAUFVnxeFy4XD2Mjl6guLiOWGyBc+deRqPRc8cdj6FQqOjsPMjmzXdw6tRx\n",
       "pqf1mEwllJdv4/TpfwVyaWjYhc9XRCIRY2bGzuLiJGq1BbncjMfj4be//T733PNZRCIh09MjaLXF\n",
       "FBRUolKpUCjUQIp4/GV2734YtVqbbRuYmhohGAxRUbGGhQU3k5NDhMMB8vPN2O2D7Nz58Ip7nG7C\n",
       "n1rheQqFQurr1zM8fIFEQsipUy+xdu3OZeM0PHwBvb4Qne6SvFturoHBwXYCAROBwAypVJSysoeY\n",
       "mxtCp9MRDEZQqzVMTraiVudy5sz/Ryo1S2VlLk1NDeTm6gmHHRQUbOFKyBjCpQYx43lmvNDMXJDx\n",
       "Pq1WK5/73KcuGrYxurq6GBwcYnBwlFDIh0plZGFBQzAYxeudxu/3I5NpUChyUKlqcDrtiMUxxOJS\n",
       "4nEDYECr1dLbex65PJd167YxM+Pnhz98mvp6KwJBgkQiytq19eh06Sr2jO7sO41rlfa6VqWSAwcO\n",
       "vOn3v/zlL3nllVc4dOjQNe33ZuN9bTDfTBMzcvYoApUG7Zf/FwLp8nBrKpXi1Of+EtvGD/HlB1dv\n",
       "ebiaY98Ijy+RSBAMBrNFPdejU3k9yHiVAoEAlUpFIpEgEokwPR1ky5Z7icVCTE2N0tp6EJlMQzwe\n",
       "pqSkdtV92e2DWCzly8Sw6+o2IJGkjSYIWbt2Zd9fBnq9EZlMw8hINxqNnkgkzPT0Arm5zczM2NBq\n",
       "dRgMzbz++n9QVKSlqKgBgJGRs5SWNqNQFFw0jqBSaSgoqGZhwYvbPc/CwlkaG9fS1HQ7ALW1exgf\n",
       "P8+pU08hl0vYvPkeJienmJgYwmpNPxvV1Q0sLrrp6TlOb+8pkskUt9zyIMFghFgsQV6ejoKCMubm\n",
       "Jqivb2BkZI5QKIjFUoZYrMPns6PTpYnN7fYWSkubmZqS4HCcw2JZj8fTycJCHKEwytq1u5mfd7Bt\n",
       "24MoFCqSybSn39Nziry8EmQyBYlEIkvyPTNjo6FhC5WV9dn7Fwz6aWs7ztycm9bWAxQXV1FR0ZTN\n",
       "b46MdGEyla6qezk9PYpKpWP37gfp72/n2LEXqKyso7KymWQyyehoP5s3371sm5GRbtraBkkkzKhU\n",
       "YcrKHiMU8iGR5NLb+zISSSG9vQcRCGYvtnYI2LHjQzQ2rkckEhMK+YExdLqVi683Q8Z4Xo0XarFY\n",
       "KC4u5t57BdntgsEgMzMzuFwuOjt76O21XeTlncNgiKPX1+L3e7HbjxEO64hGEwSD8xQUFBAMznH6\n",
       "9H8gFuuIx5OcPHmUnBwlW7feRSKxgEIRJhgcwmKRcPvtt960WocbgcXFRczmlTzAbxf79+/n7//+\n",
       "7zl27Ni7slh4M7yvDWYGqxkTxZ77r/BrsP3yJbyjM9x/7B+XTerXe8xrQYb/NRwOI5fL37L69WYZ\n",
       "zKUr9ExfF6S5Nj0eDzJZIWq1mkQiXZhTVtbE6Ggvr732HySTaTaevLz8Zec+PT3C5s13rjhWZeVa\n",
       "gkE/hw8/y+bNO1d8D5BIxBkd7WHfvo/S3X2e9vbjFBVVkUzmA2KmpjqpqtrO4GAPMlkUny/E6OgF\n",
       "IpEACwuT1NRsQyZT4HDY6O8/wr33fhmHYxyHYxiDQUk8LkehKMwer7S0kuHhVubnJzCb08oaNTVN\n",
       "dHaeIScnD50ul1DITzjswuEYR6PRcuedXyQ/v5BAYJGenvOIRFKKi9fS0fEyubkaCgr0hEJSWltP\n",
       "oFSWEYnYmJtzkJ9fjFSqQiIRk0iIkctz0Wo1hEL5RCJuXnjhCUIhPxZLLTk5GeMhIRQKMjs7wfbt\n",
       "D2TzyqlU6mLDvYt1624nlUoiEKQNQTrs7eeeex5DpdIwOtrLkSNPYzaXUF7ehN0+yNat96x6/4eH\n",
       "Oykvb7zobW6gqKiMrq4zTEw8hUymQK83k5t7KWeXTCb593//J/x+LVJpEI2mgPz8NYTD8wiFSlIp\n",
       "P17vEHJ5gMbGtTz22Ce5cOF1tm+/D7U67dW43dOUl8uvu+L0ar3QTLGgVCrFarVSWlrKli1X9m4h\n",
       "XVcQiUSW1Ul4vV76+/sZHx/H6/Xi8wVRqWLMzfWQTIbZt2831dWl74qxvFZpr6XXdb34kz/5E6LR\n",
       "KHfccQcAt9xyCz/+8Y9v2P6vB+9rg/lmHuaVEHa6sX3r/5D66l9QUfn2BVNvhKjzjeJ/fTvInPtS\n",
       "Wq3LX7Dh4VkUikIEAiFi8SXCaLVazcaNt5OfX8CpUy9iMlVTV7cOqVSKyzWJSJQWg14NsViY9ev3\n",
       "cubMQTZu3EN+fuGy74eG+lAoFOh0RnbuvJeWltc4fPgwtbWP0NNzAp/PyRtv/A6fz4lSKaWgoITO\n",
       "zkPE4wuYzWW0tj5DKiXA652lsLCJw4dfwmg0o9UqCQa93Hbbf6Ov7wIOxwhGYzGDg6fJyZGgUm0h\n",
       "J0dJb+9R6ut3UVZWR2/vORQKCVNT/UgkOaxf/yDz8yNMTnaTl2dCpdJQU9PMwEA7qVQNFRWbGRx8\n",
       "A5Eoh4WFGCKRGLFYjNPp58KFV2lquhOl0ozT2QfI0GotyOUiamp209HxO2ZnfTz//C/4q796atk9\n",
       "sdnOYzZXLguDplIpOjuPUF7eSCqVIhgMXVzwCHE6J4nHUxQVlV6kGNxJKBTAZuvihRf+FaFQuurK\n",
       "3+2eJhgMUVJyichAq81l27a7GR8f5LnnfkFlZR3j4/1YLGkNzt///p8ZHvYhFsvQaEoxm5vweifQ\n",
       "aktpb/8xPt8kZnMNjz76abZu3YTbPYVUqs4aS4B43E1hoWnF+dwIXIsXmvl9pphoKZYuJjPQ6XRs\n",
       "3bqVrVuXt9ZkihDfTX7Wa5mbFhcXb2hPqc1mu2H7utF4X7eVLH3gM57amz2kqVSKA/d+FXteLZ/6\n",
       "6efetncJZFf61xJySE9sl6j6roX/9UYSJWTuWyYEuxqJcygUoq1tgtzcihXf9faepri4hqqqNRQX\n",
       "VzM9PcjoaD86XT4jIxfQ6y1otbrLlEuExGJhurpa2L79XnQ6I62tR1GrNWg0+iw707lzh1i7djs6\n",
       "XR4SiRiBQMKZMwP095/A6x3GZKpFKNSj0+WwdesnqazcwuKil1AozNq191NZuYWJiU7kcuXFHspp\n",
       "vN4ZhMIQzc33oVRq0Ony6etrY3S0Ba1WS2PjHeh0BUxPO8jNNTI21k48HsNma2FycoTa2p00N++m\n",
       "tLSKaFTE5OQFBAIheXmFF6MDStrbjzM/78DrncZma2FxMXKxbUGHUChibq6fiYkBnM4R7PY2hEIR\n",
       "UqmcSMRLcXETiUQKp3OUeFyAz2dnw4Y9APh8Hrq7z7B5895lnsr8vJORkV42bboNmUy2hGsUWlsP\n",
       "UVxch1KpznpVYrEEo9HC1NQIublFDA62EokE0ekKsoago+M4Fkv1spaVDNLKKGVUV29gfNxGb+8Z\n",
       "BgfbeOmlAwSDkJe3Cak0hkBgvNi68R8Eg+OsW7edb37zG9TW1iAUirDZ2tHrC8jPT4cAE4k40egI\n",
       "69ZVvSM9jUsp5jK9iUKhMPsOXO6NZvL6l7Rd39pbvFGk6NeDzPlezXzx4osvsm3bthsaln0P4IO2\n",
       "kish8xK8VRii5Tv/xsLIFA+2/L+IRNf3QF/rC5Ep6snIb91IncqrxdLJILPPK13H9PQMAoFhxffB\n",
       "oJ/5eQ+bNpUC6fDfLbfcy9hYL2fPvoLHM8fHPnY7MpmMRCJtlKPRKMlkkqGhTnQ6C2KxBJOpiM2b\n",
       "93H+/CECAT9FRVUMDnaRm5uXLRaKRiOcPXuavLw83G4p0aiHcFiJSpVEoVCh1Rpxux1AgO3bH2N4\n",
       "uIeenqPI5TLE4nw2b96D3++go+MFHI4xzp9/haqqzcTjUZJJF9GoAK22JDsmZWX1tLTsx++34/Ue\n",
       "ZM2aO9FqLUACmSy9MKqtbSIaDdLbe4JIJM3Y4/c7yctTMz+/iECQS05OEXp9OSUlTczP21EqJajV\n",
       "CoRCBRKJHhARiTgJBmdZXJzFbr+A2bz14tioOHz4AKlUgpqa9YyMdKPV5tPZeQSJRIZEIkep1DI4\n",
       "eJ6ysrXZCTwzlrOzY4CI6uoGBAJIJJLZxd3oaC9isYpbbrmdUCjAwMAFDh36HRUVjej1Bfh8C2zZ\n",
       "spKVKRwOYrcPsXPnQ6jVWiwWKz7fPN/61qdwu8MolTXEYjH8fj+LiyMEgwMolVIqK5v41re+meWt\n",
       "BXC5JpblQH0+N0VF706UJYO38kIzvcmZgrgreaHvJVxrSPZai37+UPG+NpjXIvHV//tjuH78Syp+\n",
       "8zPMluuP11+tAUsmkwQCARKJBCqV6l1L/l+eq3wrT3xgYAattn7Fd3Z7HyZT6TI6NIDS0nr8/nlc\n",
       "rjdoazvE+vV7kMuViMXpSSiRSDIzM8qaNbuIx2NEo0mUSg3r19/O2bMH8Hhmcbtn2LJlX3afc3PT\n",
       "qFTVlJevo63tKfz+HGZnx1Eqg+za9emLPaKnqKjYTF6eEa/Xgc12AJmsmA0bmolEnAQCDh544Nss\n",
       "LgZpbX2Zw4d/iVgsoKFhN2ZzAzZbF1NTEySTESYmugiHfahUBezbdy9zc8MYDLm43Qv09bVSW9uM\n",
       "z+dGJksRDkdpaXmKbds+wsaNDxCPJ+jv78Dlmsdo1DI7283i4gIqlR6jsRGFwojXO8n8vJ+dO/8I\n",
       "u/0k5eU7GRvroK/vFaanz5CXV0Q8HkAsLqC3d4DS0gZyc4vZsGEPyWSCaDRCJBJkaKibsbFxEgmw\n",
       "23vQ6w3k55dgNJbQ13eWmppL7RVicfpvMplkamqQxsZtCIUiFAoVTU1bmJ93Y7Nd4MCB31NXtxFY\n",
       "+Vz09p7BbK5aFkZ94okf4vMJUCoLKSvbi8/XQSSSIB4fQa8vYteuasrKipcZS7d7GqFQuqxfNBp1\n",
       "U1T03upjXJoLzZCaA9lo0uW50Mxv3+tG9Ep4O1Wyf6h4XxvMpXgzAzZ6qB3bf/820r/4HpvvWp3X\n",
       "9EYeD1bqb6rV6usK07xdD/NavMoMPB4Pi4tSTKaVun+TkzbWrFm9YMfpnOSuux7B5Zrm6NFnWb9+\n",
       "V1aFZGpqGJlMg9mc/j+ZTBCJRFGrNWzffh8vv/xrAoE5tm4VXZygUoyMzFBQsBaHo4dkMoVWa0Kj\n",
       "UTA/P8PAQBeJxCJqtY68vDKmpoa4cOElamvvwGQqp7X1JZJJL2vX3n9RXHsCjUaCUFhJPJ6it/cM\n",
       "bW2HiESSRCJ+cnK0NDffSX39VpzOGUZGejCZapmY6EChMDIz42Bw8AQWi5WCgnLuv/9L9PS00NV1\n",
       "klRKwuJiAKPRypo12/F6Pfj9LkZH+1m37hNotWaSSRgePk1JyVaczjH0eitut42Kiluw2y8gk4lR\n",
       "qXSMjZ1CoyliYcHL88//nG9+818oKrJm73E0GmZiooeHH/4cRqMZn28ep3OGmZlJTp58iXA4gNVa\n",
       "mxWVzmB0tAu5PIfCwowiR3rhplAoEInA6ZwimRTx8su/xGqtoby8CYVCyeKih5kZB3v3fjy7rzNn\n",
       "XqO9fYRwOE5h4U5isQUWFyeIRqOYTGV87nOP4Xb3YbEsJ3WfmhrGaLx0LclkEqHQi8GwkjD+vYBY\n",
       "LEYoFMqKcy99b94qF5oxnu+WAb3ZbSV/qPjAYC7Bagal/4UWbJ/5OqkvfY27vnzj+AzfzIDdjKKe\n",
       "t2MwlxIQXEtepbW1k7k5EVqtf5kihtM5gUAgwWgsXLGN2z1NIpFm7DGbS8jPN9PWdhyrtZq6uo2M\n",
       "j/dRWlpHKpXKstmIxRIkEjlisQS9Xk9l5VpaWl6jpmY9qZQQv1+NQBBhfPw8kIfZbMTlcrBnz2cY\n",
       "HGylv/8gFRXbaW09TF/f6zQ13UdZWT0DA0cxGvOIRs20tb1GLOZCKAxf7P3Uk0hEEIki5Ocr8Pki\n",
       "SCSlRKMCBgY68Ho9FBZaUanktLcfBSIkk73o9RZKSzeSSCTR60uRy5VYrXXMzExw/Pjv2br1YcrK\n",
       "0nJdiUSI2toteDwOOjpeRSpVE42GEQrjeDwjgASRSEYsNovPF6G4eDPT029QUXEfSmU+g4OvEYul\n",
       "J+ynn/4RX/3qD7L3+cKFY5hMZRiN6XyTVqtHq9Vf7Bd1UFp6O07nNP39bZhMRZSVNaFW67HZuti0\n",
       "6Y4V4yYQCBkcbGPDht1UVNTidjux2bo4evQpdLp8nM5JSks3kEymiMWieL1zPP/8s8zNeZBKq4jF\n",
       "fCwsDBAIzFFXt4XHH/88OTlaxsfPYjItl2ybnR1j3bpLLEV+/zxms/o913KRqWDPEIislge8morc\n",
       "TCh36TbvlBd6LQYzwzn7fsD72mC+lcTX0f/5C/w/+Vdk3/5z9v3Z6mX014ulD2aG/zUSiaBQKFas\n",
       "St8pXO5VXouxDIfDTE1FCATg2LFnUCpVFBVVUVxcy/h4D8XFq3sDIyNdFBVd6mk1m0vIyXmAc+eO\n",
       "MjHxBNFolK1by7OMTHK5HKEwvZAYHGzDaLSyceMunM5p2tuP4nDMUVn5URyOHgKBIOXltzAz00Vx\n",
       "8XoikSCLi0Ps3fs5bLZe2ttfQKMx0N19kL6+J8nLU5Gfn4dc7mOKCps2AAAgAElEQVTv3kbWrbsf\n",
       "nU6HXC5HIpGgUCjQarVEo1HsdjsOxzQXLvQzNDTK1FQrnZ3niMclqFQmpFITIpEU8LOwMIZIpOfE\n",
       "iVcB0OvzKC9vIjc3h3PnnqW39wAGQyG5uWZUKh3r1+/i7NkzxGJCysu3EAjMMT/fi1pdgdttx++f\n",
       "YnZ2BoOhglhMSkvLEzQ3fxS1ugeXawSZTER7+wV+/ev/zWOP/T8MDXXi8/nYuXP3ivvf0XGUoqJq\n",
       "6uvTfLShUJCxsUHOnTuEyzVBfr4VvX5l6HNiwkYslqSsrAaAvDwjeXm3Ew6HaW8/flG4uZ+5uRGk\n",
       "UjnPPvsLpqZSxONSlEojkYiHYNBBY+OtfP3rX0OtVmOztWI0WpfxBy8szJFIpJYVFIVCbqzW91Y4\n",
       "NpFIEAqlK46vVT7vWitylxrPm2FEr2XuebeLlN4pvK8N5lJcbjDnRl1MPXOQNf/5U5r2Nb7Jlm//\n",
       "eEuR4X99u0U9V3O8q2EWyniVV2oVeStMTk6hVpdTXl5GMplietqO3T5AT88ZnE4HH/nIH6/YJhwO\n",
       "4nJN09S0fdnnSqWGHTvu5Zlnforfv8D4eD8lJdWIxZcEr9MFJTZ27vwwAEajmdrajbjdY3R1nWJ0\n",
       "9BhlZbuRSGIolWoKCqo4ffo/iceDHD78K6amurBYKikuzqGhQcN9932Gmpqaq/Ja5HI51dXVVFdX\n",
       "s2fPLiA9ydntdk6fPs35812EQnFcLi8OhxOxWMz8vB+ZTI1QKCMUcpBIlGA2V5KXZ8JmayOVUiMQ\n",
       "aBEI1Pj9HvR6IxKJAYkkyZo1OxkejmE0NuJw6BgfT6DViigu3sDi4hS9vc/S0vJ7xGI1BkMJfr8f\n",
       "v9/OK6+8yOzsJBpNHhs27GJ+fobcXHPW8xka6sTvDy7zIBUKJXV168jPL+DgwWcQCkUcOvQEpaV1\n",
       "WK0NSKVS4vE4vb3nWLdu94qKcaEQFhZcfPjDn8NgKGBhwcOvf/33uFwyEok4en0dKpUUt7uTkhIz\n",
       "X/7yl5BIxMRiMRyOYaqrNy/b39TUMAUFl8Kx6XfVk9UlfS8gGo0SDoeRyWRIpdLrNiJX64XCW7e1\n",
       "XCuu1sN8J/mp3wv4wGBexOUGM7/cyCf6fnNTV04ZjblwOEw8Hl/B/3qjj/VWOdOlRT1v54VLJBL0\n",
       "9U2j060BQCgUYLFYsVistLYeJRxOcfr0K1gsVqqrN2aZY8bGejEaS1ZljgkGF5BIpGzf/iBDQ214\n",
       "vTM0NW3PSkn19Z2jsLAyW1CSFjWeo7Z2B+fPv4BCYUYgEPPGG78lN7eErq5vEwjMkkyqyM+XcNdd\n",
       "O7j99jVs2NCIXq9fNh6ZtoFrWTgIhUJKS0spLS3NkkYnk0mCwSCjo6O0t/dw5kw/p8/M4ZhJEY/P\n",
       "MjfnQ6XSotUW4vGM09NjI5VSoVAogTA+X4xkMsHoaBepVJTh4U4MhjVUV29mfPw4bncflZW3EAp5\n",
       "mJ3torCwBJ9vDLPZQCCgY26uj/Pnz/LRj34eoVBIT89ZgsEFcnLykMtVTE+Ps2vXgytC//F4nM7O\n",
       "k2zZspeysmrm5mYZHu5maOgJTCYr0WiInBwTBQWWFfehq+skJlM5RqOZRCKBzdZGV5edeFyMQqFC\n",
       "IhHi9/ezdm0l9977MDqdjmQyweLiPF6vF40ml0AgwMKCG4/HyZkz+zGbS/F6nYhEEmQyJTU1kvcE\n",
       "E0wmMpQpzLuZFbvvNS80gw88zPcB3qpK9mY+BJljLS4uIpPJ3nX+18zK9e14lRnMzMwQCmnJyVk+\n",
       "iSWTSVyuCfbt+zAymZze3jYOH/49lZWNlJevxW4fYMOG5fnhTAl+T885CgurqKiowWqtoLv7LIcP\n",
       "P0VNzToMBgvT05Ps2XOJ79ThGCeZNOF2Oxgfb6eu7i4GBw9hNJqQydSEQgo0mvUUFS3wta99kvr6\n",
       "+mUTydI2gFgslg0Bi8XiZX1313KPhEIharWapqYmmpqaeOyxJNPTM/zPv3yFrs4uakrjJBIOnM4Z\n",
       "cnJySSZDCAQJRKIkoVAUn28aiaSYSCSE3+8hlXIhFOrw+ZwEgwJmZl5maKgbpVJNKhXH45lCoSjA\n",
       "7x8hHpchEKiBEM8//wu+972f0Ny8jWg0Qn9/B2fPHkajyaG9/QhFRRUUF9dkFyNdXSdRKvWUlaXD\n",
       "6AZDAQZDAX6/j87OM7S0HGTt2s3YbB1YLJXZfLXDMYzb7WX37tuIRqPMzNj51a9+yvx8EolETyIR\n",
       "JJGY4bHHPkk06qCsrC5b4OJyjWMwFDE21svExAAiESgUGiQSGfX1my62GyVwuUYpKbk2KrybgQw1\n",
       "ZUbt6J1+h2+WF3q1HmYymXxXW3reabyvDSZcMpTvlJoHpB/cQCBAKpVCpVKtqjl3o7Ha9d0Ir3Lp\n",
       "vrq7J9BoVnLrjo31olbnZtsBNmzYgc/XQHf3OS5c+BFyuY68PGP298lkgnA4Qjwewe2eZvfujyAQ\n",
       "CJBIJDQ3b2NuroLu7jMcPPgMVVXN2R7HcDiA3e5BpVrL/v1/dZGer4+CgkJqau7hxIl/RaeTceed\n",
       "BXz6019GqVSuOFeBIC3qnWElWkrSsJS3N2M8l3qhVwuBQEBeXi7/9H8+xvGWe/nlkzN89lNF3LXH\n",
       "QCqVwuv14vF4GB4eZmJigtbWbhIJI7m5BSiVKtrbTxEM+i8S1+dht8dQKg3E4xKmpuZYXBzH63UT\n",
       "Cs2hVusAGUKhgEDAz1/8xX/nO9/5J4RCIQ7HIHff/QhmcwnT03YmJ0fo72+/WBAkZmHBs0IRBkAq\n",
       "lRMIeHjooS8ikUiZmhrBZnsWmUyKXK5mZKSXhoZbsNsHCATm+dGP/hezswKUymai0X60Wg1f//o3\n",
       "UalEjI+Hs9GBUChAS8tBlEoNKpWMbdvuJifHgM3WhkKhpaSkKluEFo9PkZ+fn5Wxy4zFO2WwMoIH\n",
       "kUgEuVz+nip6uRFe6NXOhYuLi6hUK6vh/6tC8BY35r98gDoajWZDKslk8qYO/lL+V4VCQSQSQalU\n",
       "viNVfpn8ilarfVutIm+FmZkZjh+fxmRame89dOgJ6utvWVVM+Nlnf0I8DhaLhaamW5HJVMTj6aq7\n",
       "vr7zhMMxNm3atWI7l8vBkSMvYzCYiEYXMZtLWFyMMDMjpavrCHNzQ9x1158xOnoGpbIQm+01ystl\n",
       "fOtbX6Cpqem6rjVdqRsnkUhk/2ZYlN4qjJspCgGyTE12R4i/+sEw5gIZf/qFUvQ5y58Hp9PJ0aN9\n",
       "mEzpNguv10NLy0H27XsYoVDI8PAAs7N2NmzYweDgIEePvozFUktf3wijo12IRBa8XjsikYhgcA6R\n",
       "KMz27bt46KEvYrUuL8KKRiOcOXOQ9vYWqqrqKCurp7S0bpmwdEvLfiQSDRs2XGoPSiaTuN1Ojh17\n",
       "DrE4h9xcPbFYiKef/gWTkwFUqs3ACHq9iu985/uYTIWcOvU8hYV1lJRUYrN1MjBwhvl5Nx/72J+g\n",
       "UFx6D0+ceIbS0nUUF5cC6YVRKtXLHXdsWjYGl4+DSCS6Kaw5GRm9VCp1TWxb7yVc7oVebgei0Sgy\n",
       "mewtmX4mJib47ne/y5NPPnkzT/fdwKoPzfvew8zgZnuYS0WdM60iGRLsdwJLK3GvloDgapFMJnnj\n",
       "jS5kspVEBRMTNkQi+arGcnp6HK02j927H6Svr4NDh56huLiCxsY0a83ExNAVRYh7e8+wadMeyspq\n",
       "8XrddHae4sSJ83g8brzeORoa7uHUqaeQSNQoFCN84hPN/PEff/GGTG4Zbzez0LlSGHep5yMUCrME\n",
       "3JcXhZRYFPzof9fzH7938MVvdPPZR4vYt/sSS1J+fj5qdR/hcBC5XIlOl4tGo2diYhirtYrS0kps\n",
       "ti7C4SBNTWtIpaLEYiEeeuhB3njjGG1tLUxNlTE5aUMuLyAaneHMmTcQCqGpaSsWSwVWay1SqZyB\n",
       "gVaCwQCf/vTXCIfD2O02Dh36PXl5RiyWSjweJ+FwnE2bbl12T9ISWF0YDFY2b76NeDzCP/zDN3G5\n",
       "Ykgk1YhEU5jNKr7ylb/FZCrMMj5VVmo4evRZpFIhFks5RUW1y4xlOBxkcXFhSf9nmt1nzZq8bBh3\n",
       "tXGIx+OrjsP1eqHxeJxgMIhEInlLKs33Mq7khcbj8ey8lGF4givnQt9PPZjwgcG86SHZzGo0Go1m\n",
       "mXrerZcs8wJkDOWNOo/JyUn6+934fC+jVmsxm8uwWCpRqbQMDbVTWbm6FNfQUBvl5U0kEgnKy+so\n",
       "Li6nv7+dI0eeQiwWk59fsqpe5thYL8mkmLKytDyYVqsnEklitW4gEumkqelOBAIBPp8IqzXG5z73\n",
       "EbZt27ZiPzcKq4Vxl3qhGWo/AIlEsqrRlkqEfPYTxezcmss//myMVw65+MyjRaxt0CIQCKirs3L+\n",
       "/DRyeXrhUVJSzfBwF1ZrFSKRiJKSaoaGulm7bjuznkJmHUeoqfGxefOtLC66+fjHb8XpnOVXv/oJ\n",
       "8/PlOJ1DnDhxikgkgkAgoLX1CF6vm5KSOm6//SEUCiVaLRiNJqLRCHb7GKdPv8bU1CSbNu1gbKwX\n",
       "g8GCRqNHKBTS0XEcj8fL9u33s7g4z1/+5eex2wMIhUaKi6GxsY6ammaKikoujmE38biAtrbXqa1d\n",
       "T2lpE0eOPEFt7XJDPDU1TF6eZVmeLJl0U1CwnNTg8nEAVoxDLBYjkUhkDefSnPRbIUMkEo1GUSgU\n",
       "77nez+vFUlYigUCQFYR+q1yoz+f7wGC+H3GjDeZqos6rKRi8Ex5mZuKANO/j0ski4/28XcTjcbq6\n",
       "Jtm06U4kEjlO5xRTU6McP/4csViYRCJdKXs5ZmftBINhjEYLqVQqSya/ZcttTE2N8/TT/0p5eZiR\n",
       "EQMlJbXZSTAajdLf387GjZfkv5zOCYTCMtzuDjQaDQKBiNHRw1RUCPnOdx6nuLh4xfFvFgYmUvgC\n",
       "UGkRoFOnJ9VYLIZMJkMkEmV1QoPBIEKhcMU4VJWr+Ke/rufwG27+4Sdj5Okl3L/PyPqmAoTCIRKJ\n",
       "OCKRGIulhL6+dlyuGfLzTWhzTDz7wkF+8/QUOVohhYYFnnji36iubiASifD8879hz577ufvuDwEJ\n",
       "WloKaG1t4eTJc/T0tPLhD3+WsrI1hEJeTp58AYulnJKSatTqNPm71+vAYLCwd+8jeL1u5uamGRnp\n",
       "IRIJMj09QSyWpKKilpde+r+88sqLzM0JkUgUNDQUsHfv3USjXurr060ifr+XEyeep6KikVtuuR+V\n",
       "SovP5yESiayouJ2dHaGw8BK7VjQaRqWKXtUknVkULs0vZrzQjCd1eVHXal5opsr57fRW/qEg4zmv\n",
       "xkr0Zhy5zz33HA6H45qIDv6Q8b7PYS5dfQaDwRsiU7O0OOTNcpSZEO3NKo1fLVeZOb+lObilE/e1\n",
       "tlEMDNjo7IxTUFCx7PNYLMpTT/0LKpUOhUJCaWkdZWVNiMViUqkUhw8/SWFhLVVV9SvyJJ2dJ4jH\n",
       "hVgsFdhsnSwuOikstFJcXMP4eD/JpDibP4tEQpw718HQkI/BwSMolQaSyTHuvruOr3zl8RuiznIt\n",
       "sE2maBtKMeQApSxJtSXOploJRv3ySsLM2CwdB1gePgQhJ8/O89qROfpsAXI1UyglUoqKLEhEAkaG\n",
       "uxkc6iYUluP2+MjVxqirM7Bn53ZEIjGnTh2kuXkrYrGEY8cOoNWmW1UGB3sxmUrx+gXY+k4zOjoJ\n",
       "BNm4cQOf+tSfIRYrcDhGmJwcJhhcJBaLYbHUsW3bXcue5XA4zKlTr+LzBdm0aTenT7/K008/QSik\n",
       "Ra+XsWHDGrZvv4vcXAMjI/3s3v1h7PZ+2toOEY3Cxz52qSe3r6+FcDhGc/OlSEA0GuXAgV+zb98n\n",
       "s8edm5uipiZAQ0PNDRmvy4u64vH4sqKuzMI3U9jzX80oLPWcr8RKtBoCgQBf/epX0ev1/N3f/d2q\n",
       "BXR/4Fh1oD8wmEsmrEAgcF0G81pFnTOrVoViZf/h9eJqCQiuNHFfTRvFwsICr7/eg8GwbhkrC0B/\n",
       "/3k8njluvfVO5uZmGBzsZGHBicVSgUgkZXJymL17H15Rku73ezl+/CX27PnIxT5E8PnmGRuzMTbW\n",
       "w8hIL+vXb0ej0SORyBgZGaKvz8fk5AACQRyLJcZ3vvPFtxT0vVnItMOEQmGcPhkDkxIujIBRB1vr\n",
       "BTRYuaIs3OXjsHTiDoZStHbM8uLL50hShnNmAI/bRiQ4zh13PMyWTU0kEiGOH3+FvXsfQCqV09t7\n",
       "Ab/fw+bNe/B63Zw+fYg9e+5jcMTFky8ewFJgRBK34fE4GRgYIRj0I5EkMRpNrF+/DalUhVAoR63W\n",
       "kUyGEQqFaLV61GodLtc0DscYGk0eSqWc//zPnzI3F0IiKWLTpir0+hxuu+2jVFU1cvTok5SUrGN+\n",
       "3o7HM4dEIqSgoIq6uvXZaz98+Lc0NOxY5mGOj/ficIxz662XogkzM53s3VtCbu7qeqk3agzj8TiR\n",
       "SGRZ+PHyMO4fuvF8u8VLAwMDPP7443zlK1/hkUce+YO/D1fAB0U/b4brDY++Hf7XmxGSvdZWEYHg\n",
       "krZfZvuleZ+Mp7zUgIpEIpLJJOfO9SOXl60wloGAj5GRXrZvT7ckGAwm8vIKmJubpbe3lfPnD7Fp\n",
       "025isQgi0fKVaU9PC1ZrfdZYQjpH2di4kbm5Ue66649QqXIIhfw4nVNMTkZxu52o1SI2bTLx9a//\n",
       "N4qKlnOQ3iwkkuCYF5GnTqKSpbITUDKZRK1WkZMjoqoY7tqcos8Ob3SnONAKe9bC2oqVhlMoFF4x\n",
       "fCiTJtm8Xk/Qp6al5RQFNQqamh5kfHwUkSiCQiEGNBiNRdhsPTQ0bKCqqo5Dh57H43GRm5uPyVzK\n",
       "c6+dJa7aye07byUZHGLHji9z5Mh+SkurmfdFOHJ4P1PTLuYPvYhKpaC6eg2NjVvIzy8jFAridE7S\n",
       "09PG/LwPr3ea4eE+YjEZAoGK9ev3sXPneoaG+tm162NUVTXgdE4wPz9PLHYOnc7Mtm33c/Tok1it\n",
       "l9qPFhbmiEYTK8KxMzMjmEyXIhexWBSZLIBOd3P7L5PJJOFwGJFIlK2az3ih8Xg8m5NeGsa91tai\n",
       "dxtvFoK9ElKpFM888wz/8i//ws9//nPq6m6MEMUfEt73BjPzoFyPmkcwGMyGNK41bHOjDOaNIiBY\n",
       "Le+zdLIIh8MkEglOnjzDyZNjFBQsYDKVYjKVZI1zR8cRysoaswU76UkmglarIz8/n/Xr96BW6zh8\n",
       "+GnMZisVFY1otbnMzk7g9S4sy09m0Nt7Brk8j9radUC6etJmG2dkZBiJxM2+fbV84xuPv6OhoXgC\n",
       "PAEhg7NiRMIUeYoQhToxedrlz4BYJKCpDBpLYWQaDrSmONEN926BisIrj9FqRSx1dRVMTPioqUm3\n",
       "VFgsVk6fPkhFRRNyuZyqqnpOnTpAVVUTUqmUiopG+vpaaVx3JyO+tUxOv8SDd9qpLKvn3Ll52tpO\n",
       "cMcd93HwxBkWBfP8j2/9A0P9p+nsbMXhcHD+fCsdHe1AnEgkilQqIxoNIRAoEQrVKBTF1NYWs2XL\n",
       "LpLJGF6vm+bmPdTUNJBMJnn99V8hkeRQVbWJ0tIaxsa60elMKJWa7HVOTAxQUFC27Nqj0Shzc07W\n",
       "rNmd/cznc1NennvTcoiZ6EAmQrS0QC9jGDPvxdIw7pvlpN9rRnRp/+i1FC9Fo1H+/M///GJU6XXU\n",
       "6uuXOPxDxPs+JJsxBKlUivn5efR6/VU/5EtFnd9OP1bG+Fxv7+fNaBV5M9hsw5w750Io1ON0TjE7\n",
       "O0Eo5MNkKiaZTOdEdu26H4FASDSaDmtJpTKCQR8nT77Mzp0PoFZrCYUC2GzdTE7a0GjUzM462Lz5\n",
       "XkpKypcdz+Vy0NZ2lJ07P4JCoSKRSHDkyAs899zL5OT4efzxh3jkkY++K8UY6QVTiIWQgPmIiukF\n",
       "CSpZivL8OEZNktWGIpVK0TMGr5xNYS2Ae7cIUCuubsySySSvvnoMiSRNJZhKJTl16gharZbKyrSR\n",
       "On/+DfR6HfX16ZDnb37/EkFJMzs3lqCXOejqbGHPng8hEgk5fvwAEbEJS9lmkvOtTDsGaW7eTjAY\n",
       "oKe3g3AoQCwWx24fJRCIIBaIkSeErGvegjw/l6GhTtTqAipK6zEUFNLXd57bbnuExUUPp069yOTk\n",
       "JJ/85J9lF0/Hjz9Faek6SkouVbkePPhr6upuJR6P43ZP4/PN4XSOMTs7i9VajkAgQC5Xo1KJ+fSn\n",
       "d2AymVa9N9eDzMI3U3dwrew1b5aTfjeIFa50jsFg8JpDsJOTk3zhC1/g0Ucf5fOf//x/yaKnVbDq\n",
       "QIm++93vvtlGb/rlfwVkHnSBQEAoFEKhULzlQ51MJvH7/dlWkavZZjVkVqhvlyVkacHC9dLaXS1s\n",
       "tmHOn3diMjWQk5OLyVRERUU9xcUVOBx2zp07glKpJBwOI5UqEIsvhXzOnXuNkpKGbE+mRCKloKCI\n",
       "8vJ6bLZeXK45gkEP8/MzhMNBIH2Pzp8/QHX1rSiVSmZnx/nd7/6R/fsPUVGh4J//+c/ZvXvXOzIR\n",
       "pVIpPPPz6Qb5izzA6QWTCL1WjlELpYYEIkEKm1OMY16ERp5EcdnwCgQCjHoBm2rAMQfPnwK9Boy6\n",
       "t76GdA+ogNHRWdRqHQKBAKVShc3WSXV1I1KpFJVKS29vK3n55RzvFuMLyciXtLO1uQKtNgefz4fT\n",
       "acdoKmOBUsaH2rDmRWioa0Kl0tLWdopIJIghr4BAwIfX60Mq1VBqNlOkSFJQXExEKmJqykFNzQ52\n",
       "1awhr+scXQEnxdY1OBx92GzdJBJx1q+/jaKi9ALI5/MwMtJDc/OuizzKcbq7W+jqOkso5CEeD6DT\n",
       "GSguriIaDdDcfBu33HInFRVryMsrQCp1s2VL0w2fsDPplLe78M2MS4Y0QSKRIJPJsi1EmXaujOTX\n",
       "0ihQZtubjQy7mEgkuuprTKVSHDp0iD/90z/lhz/8IR/60Ifecx7zTcT3Vvvwg5DsKnyyb1Yg814Q\n",
       "dc6cyzvpVQIcP36awcEAVut6xOJLoRyBQEAkEiQQcPPoo18ikUgyOtrHqVMvYDCYKS6uY3p6lHhc\n",
       "RGlpTZaRJXPOHs8siUSMRx/9EqlUkqmpSdzuacbHBxkcbEckUhMKRZBKFXg8MwwMjHPbbY38zd98\n",
       "BYPhnZV3UqlURCIRPB4PKdJsPUtzQEIBWPRJCnVRHF4hreNSzLoEtaY4osvmKKlEwD1bBDSWpnjy\n",
       "WIrBiRT3bRUglbz5WFoshbS12YjH05qgBkMBcrkmS2SQn28kLjTxm1eG2b55Dfs2lnHi+CDDw/1Y\n",
       "rZVUVtZz9PjruBPj1FSUcv8dO2hpOYSAJGKxFEjR2dmBSJQO6X784x9HnYoimOglVdyAKxyhtfUk\n",
       "+/bdT4HfR/TcMbr1Objm3USTFygqamDr1g0cfe6XSA90kKpbj0AgYHy8h4KCCiKREENDPUxO9uLz\n",
       "uamqWseOHfdmQ8/xeByfz8vGjekwbebzpibrDa16vtm9lW9GrHAlgosb7YW+3RBsIpHgb//2b+np\n",
       "6WH//v03tcjqDwkfeJhLuBUjkQhSqXTV1VdmFZpIJFCr1TdEqzKz8rwWLtl3w6vMQCQSoFKJcLsn\n",
       "WFjwEA7HEItlOJ0TtLYepb5+K7m5+ajVGsrKqrFaa4lEorS1HWZgoIPGxo1oNHkXX+LIRWWQIC0t\n",
       "+2lo2IbBYEQikZKba8BiKSMYXESpzOXBBz9LXd1GgkEf3d0DbN9ezne/+yX0ev3Nv+jQIoglsOQ+\n",
       "x2Mx5HI5KqWSaDTKos8HF9l/LnkNoFWkKNInmJoXMTYnxqhNIF4l0pejFrChCvon/n/23ju6rqvO\n",
       "+/6ccnuRrprVLMmy3LtcY8txnDi9QQqBCZBQwtAf2vu8LNYMDwsGmGHeeRhgwUCG0EKAUIaQSpp7\n",
       "3KtsWa6y1a2u29s5Z79/nHuvrmTJlo3tOEbfte6SLd177jln77N/+9e+X1i/H6pLwWUfe0wVRUGI\n",
       "JG1tA7hcZj+iqlo4ceIwZZOns/UwdPm95El7WLN8OlaLhZycPI4c2c3UqbNQrU564qV0NW1hZmUB\n",
       "/f39DAz0sn79y/j9IWbNXkHdqtuorp5BJOLn2KG36D+2h7CvjM6An/37t1FZOR/p7BlObv4Lxwp8\n",
       "7Dt+lIULb2b58tspK6ui/vW/EPjDZuY89ACOitJUqPhNQOH48V24XHYWLFhDT08rS5euGyY03t5+\n",
       "klgsSnX1EHNUINDMvHlFl426Mt1bmabDvBrtR9leqNVqzbwkScqQBqSVcrJ5Xi/1+U5TfmqadlHX\n",
       "2NPTw2OPPcb06dP5/ve/fz22jIwHo3qYEwZzhMEcycSSnnSRSAS73X5J+Y3zfXe6x2u87882lFe7\n",
       "qMDr9VJWNonp0ydTWurEbg9x5kwDhw8foLx8NiUllcOKJVTVQjIZo7+/m9ramxkc7OX48T1EIn5s\n",
       "NidOp4fdu18lJ6ecqqrpJJNaZixaWo7S1HSUVavuASSee+6HNDZu5Y475vC5z33sqsk6SUe2IJ0+\n",
       "AJEAcUMQM2QcTid2ux1VVXGk2ocikQjhSATbiA2XIkNJjkEsKdHYqVKcM7rRVBWJOVUSqgLPbhL4\n",
       "PDDJN/bYulwOjh07gdNZkKrMzmX/oRNsa7RRlJ/LnSscREL9RCJ+CgtLcDic+P1+uro7GGQqPqdG\n",
       "zH+GLVtewWazUFExjYWLVjMw0IdFlSgunozb7aG8pJzKZAijsJKWvm727duFy1WAnIgS3ruVvBvv\n",
       "JWQkWLToZhYuXImqWogO9PPGv3ydmz77RYrqluH397J16584ffooM2fOZ8mSW5k8eQaDg9309/cw\n",
       "a9biYdd29OhOioqmkJdXCICuayQSp1m0aPplCceme67TYuBvV04ubQwVRcmEcdMEF9mtLen2luxo\n",
       "0oWe+3QIVpZlXC7XuK9x586dPPHEE3zta1/jAx/4wN9TCHYkRjWYf/dFP2mjBRAIBIaFLbJFna8E\n",
       "yfJ4ez+vBFn65UC677Sjo4OzZwfo6AgDeeTkTMJud9HaesPyDL8AACAASURBVJJDh3ayZMktKQUM\n",
       "iERCtLScoqPjNKdOHcJu97J8+TpycvJxuTxIkoX29pPs37+F6up5xOMh6uu3UFRk5dFH3/W29Fdq\n",
       "4QD62dPY+luQFAtiygLwlZxzLyLRKKFQCF9u7qh56eNnVXpCMjdMTTBGKyYA7b2CZ94ULKqBW2ol\n",
       "5DHGes+eA7S1QU5uIXuOC/YcbKLYcZQH77sbgEBgkK1bX2PduvuwWu0kEnF+9ptn8Xjy8DkilJRU\n",
       "MDAwSE6Ol7lzVxCOhJEQNDTsI5mMsWDBKnJCPQih0ybs1NfvZdGiWyktnUxyw/MoJRV05+bS2FjP\n",
       "2rUPZdqL3vrhfzLQ2skN/8/nUxqmvYTDEebPX01NzZzM+e/d+xouVxEzZy7I/C5NVnDLLe/NbIr6\n",
       "+7uYPLmPxYv/NiH39HxNJpMX1aT/diI7opT2PEeq5Yxk60p7qhejomIYBj/+8Y959dVX+eUvf0lp\n",
       "aemVuqR3CiaKfsZCOvyRSCQyOYRwOJxRE7nUop4LIZ1DOZ+39HZ7lWMh3XOo6zqFhYVUVpZTU1OC\n",
       "x5Ogp6eZo0cPc/LkcZYuHTKWYBb6FBQUMzjYjdXqZt68lQQCA3R0NNHU1EBDw1ts3fo6JSWV6HqC\n",
       "zs7jzJ1bzMc//hilpaWZhn4hxBW5F8nDu5FsDiS7IzM+MU3Hkl+CMnkWWO1Ip/YiRfzgKwbJXKgk\n",
       "ScJqsaAqCoN+P3a7/ZwNVp7L4KxfJq5J5LnG3ot6nRILpsKWejjSAjMrTA90JJxOO7v2nWJLQx4g\n",
       "ce/qXHo6j+FyuXG7vdhsdgIBP4ODXRiGYNuu3XT1BfBY/Nx91/soL6+mvLyKxsZDDA72UVpaicfj\n",
       "pbKymmQySf3+rSS7T5IsnEpDYz0LF95GUVEJyWAA48A24rU3snvPm8ydexNeb24qlx3ntad/iLVi\n",
       "Ev1akJKSGmbNWkJ7+0kWL16bic6kxakXLKjDYhla1NvbTxCPJ6iuHurx6206QN729ZTesuqSxzvt\n",
       "cQFXXOT5ciL9zI/0QmVZHtYGk+bJjcfjmQ3BePOVgUCAj33sY9hsNp566qkr3uf6DsFESHY0SKlq\n",
       "RyDTkJxuFfF4PFd8F5qW+hqJ7J3ltWQo0w9pOqSV7XmrqorPl0tNTTmlpS4mT/YRCPQQDEYwDAmL\n",
       "xRT/3bv3TcLhGHV1d1FYWEJpaSVVVTNSmo1B7rzz/VRUTCEWO8myZVP40Ic+gNfrHXOhuBzi1wBC\n",
       "14hvfZX4638kefwwccWCyM0fyv9IEjhzYFI1Uk8zUvcZKKggu3dEVVVIle+PHFdJghyn4FCbhaoC\n",
       "/bxeptViGs3TnbDxgGk07dZsflPBruN2Xt3Rw/RinVXznFgtMqBw5kxjhhhA0zT++tfniMejqL4F\n",
       "3HXLzWixIOGwn8JCcwOSk1tA45H9eDwufD6ziCo/v4gSp53jZ06yfuc2ysqmU1hYhMvlQR3sg3CQ\n",
       "44kQqppDYeEkWlqO0di4g23bnifUHWauZyp1jz5OQUEJJ08ewG7PyVTLArS1HScWizF16nCvsaFh\n",
       "GyUlU/H5CkgO+On4zfM0P/Vdlt2yFN+KhUjZ6ZJkAqP3LLL7/LyyiUQiU6g32kbmnYZ0GDedC03X\n",
       "U6SlCsG85rQ3mv7MaM9GQ0MDH/zgB/nUpz7Fpz/96XfMRuIqYCIkOxbSOYJAIABwVQwlkOn9zK5A\n",
       "u1wEBFcC6c0EgMPhGNfDlUwm6enp4cyZLjo7Axw4cBhZ9lFbuxq73YksKykjup5gMERNzVQKCmRm\n",
       "zCiiurryvAVRI+Wc0hufdLP/pTSPCyGIhUMkG/Yh7XoT2VeI84EPIzlHFJsIA6lhE3gKEJXzzjlG\n",
       "d08PeXl5WEaZR9tPWZlaZPZpjud8NtfDtgbB+2+VmFwocbZf8OetAosKa2f3sWfnYUpKTG5VwzBY\n",
       "v/4Fqqtn0N3dSSDQh6raQXVSUH0788o0otEwGza8yIIFKygsLEbTdYLBAAcPbGP69LkZFZjOAxs5\n",
       "cOIkc5bfRyQSpLe3g8HBXqRAP7EzJ2h15lFVNR2Xy4vHk09eXjFHj25nwdQ6Av/6C3x3r8F3901s\n",
       "2vJHli69k4KCSZmx2LbteYqLp1FdPTNzrYlEjNde/TUr8ucT2rqPwN4G5BUzqf34fFbcvnrYfdFO\n",
       "HyP2wq9Rp83FfucjQ39IREFWQbVk6g90Xb+stQfXGtIh2GzZuJFh3HRl+uDgIBs2bGDFihXs2rWL\n",
       "p59+ml/84hdMnTr1wl/094UJLtnRIITA7/dnqLDS+cqr9d3ZZAlvR6vIeJBdmj5Sy/FioGkabW1t\n",
       "6LpBf3+EYDBGMqkRiYTp6+tiyZL5lJYWkZeXd0kbltHyPUKIcZftjxR3lgyD+Bv/g3bqCK6PfhnJ\n",
       "NiJ0Ho8g7XsFsfQ+s5I2C36/H1VVR63qPNyu4rIJphTo4762xmbBHzYLfG7wR+DWWomlM0GWJDZs\n",
       "2E4kkoPHk4thGGza9BqHD+/g5pvvZcaMhQhh8KfnX2TG3JUsnD6JZDLJ6dMnOX36MDff/G6zOtxm\n",
       "Ix4Ls23beiorp+J253DkrddZvHANBTOHy7NFBvt443tfZvq7PsO0uUsyhujMmSO0tTVTV3cP8c5u\n",
       "Wn7wK9rbT9BX7WPN7Y+glhRi8eWgCY3Nm/7ILasfQg5GiHV0ETvTzvE9W+g4dYLamiX41izHt2Y5\n",
       "veEm1q4tobAwVQDU3UF8/V/QO1uw3/EeLLMWpQcfeluQTu1D1CxF95UQiUQy7DzvhHzlxSKdk9U0\n",
       "7YIbgvTm8vjx43zjG99g586d+P1+1q1bR11dHStXrmTlypXX7abiEjBhMEdD2mBardZMSONqllEP\n",
       "DAyQk5MzrFr3WjKW2UZkvF7ltYSxCM2TrZ0c//BXmPTQHZR95GEMh23MDUH0z79Acriw3/HwOceX\n",
       "6tcjymdC3vAiiVAohCEEXo/nnM9cisFMaoLX9gjeajAp9VbNHQordnd3s359AzZbHvv3b8fhsBMI\n",
       "BJk/fzFlZWYv47aDZzjbepDb165DURRsNiv79+8kkYgwZ+4KrKn8WCQS4uWX/0RvbxcP3PIgk1TJ\n",
       "LHLKQmPjbrr27GFFQRm2Wx9AUi0pz/ZZ5sxZQ0mJKacmhGDjn/4bZ2uSvK4I8Y5ukoMBTiXb6Ucn\n",
       "3+Yl6VIwchwIn4OzUpCSabMpKCnFbnfhcuVSVJTgve9dh2g+QWLHm+jtp7HecCvW5WuR0rnPSACp\n",
       "aR/EIxg1S0nYvZkWsWiKTSs/Ly8zpkKAZoDlnTWVhyFbcszpdI57vWhqauLjH/84TzzxBGvXrmX7\n",
       "9u1s376d/fv3s379+nfc830FMUG+PhokScLlcmW8urTRupq4HD1XlxuXy6t8uzEaobmmaSgVpVR8\n",
       "6/N0/+ovtC1/kKlPfQvfknmjCnzbbrqH8JPfxHb7Q+feA5sDkrFzvtcwjDFzZf6oTHGONu5raO0R\n",
       "/HGToMgHH7xV4vltgnDMYF2thCxLFBYWYrGE2bXrILNmLaSqagZtbc0cPbqPkpJKJEmirKyKjtbj\n",
       "nDlzhNmzlyBJEgsWLGXz5tc4deow02rmYrPZ6Oxsw+VyUly8ggNNh5lrt1I6qcrM3QJ+fx+nT59i\n",
       "9bs+gnRgO7GXfoet7nZaQ31YrZ6MsQRTeSbqtLH0iUfo7W1lsKeVvr5uzp48yPRptUyumIrTmYvT\n",
       "6UbTkmzf/ldWr74fEMRiEbqbDzOpr4noD7eAomJdthbHQx9FsqbC9LEwUmsD9LYhJs/CKK4hGk9g\n",
       "JBKoqoo/EMBut5Obk5MZt2gCDrZZ8NoFs0vHPwbXEkw1nOhFPZdCCF566SW++93v8uSTTzJvnplG\n",
       "qKio4JFHHrnApyeQxt+9wczGlVAPGQtpj1KWZYLB4LC829vNOZntVV5vgrlSimBAVVXyVy3BWTuH\n",
       "4F+30vSPX2X+5mcyLUbZ6ixSTh4iHodkAqwjcqrxCFjPLdqKJxKjepfBmEQkIZHnvPDGTNMFGw4I\n",
       "dh+De1ZIzK8250R5Ifx2g9l68p6bwGaRWLp0PtGolYoKM5dZXl7JqVNHOHPmGKWlVdgVhck1q2hu\n",
       "epHKyhm43V4URWX58jVs2vQyFtWGENDRcYbVq+/F7c6hs7OVw7s3cOov/0X1ivuYNHk6Bw9uZdq0\n",
       "pXg8OYi629FPHiby6h9o7DnN3FXvRmhJdCR6elrZufNlotE4mzb9D/n5ZRQUTGbSpGpk2cJtt71v\n",
       "2LU2Nu6ioqQKXziAdrYVV/sZtIFGpt02DWPp7aiTq0FVEaoKwX7kjuPQ3w7FUxFL7kaTFNPjkmWz\n",
       "eE+IYe09QkD7gExjp4WqAo2pRcO9+2hc8Nxbgrq5EpOLrs2N4aW2xSSTSb7+9a/T1tbGq6++Oi7x\n",
       "7QmMjr/7kCyQqbRMe1SeURa6y4mRrSLZMk4jdRCvJmlzNlXYO9mrvBCydQDTYeY9a/6Baf/+/+Jd\n",
       "Ov/cPKh/AH79XSz/61tYLJah8UjEkPa8iFh2/7AcZiKRYHBwkMLCwnPu354zFnKdBjVF5w/Hdg0I\n",
       "/rBJ4HbAA6slvM7hx9F0c4HvGoBHb5HIdUts2rSDQMBDTo5ZRNbd3cn27W9y883343K7OdhqwRg4\n",
       "SNh/hhtvvDtzrL6+bp599mfkFxRyz92P4XINse4YhqD18HbOHNpBcziKYc1l+fJ1uFxeLBZz89B8\n",
       "+jDN+3dTqUr4ezqIqDbc+UW0BQa58YZ7qaiqQbHaQJLYf3ATVsXFrIoaRCSICAUw/P1s2PMqs/On\n",
       "MGnKNJTicpIFk9A9Z7nzzhXmeCRi0NuKpacZORklWViFUVyDYnOQTCaJx+Mmc5am4Xa7cWa1gkXi\n",
       "EofbVeKaxPzJSXIcw5e11h7B7zYIZpTDncskLOq1N+ezQ7AXQ7Zw9uxZnnjiCe677z4+85nPXFeb\n",
       "3yuMiZDsWPhbJb7Gi7EICNJtI9mck+nFOq1oMlL14HJP/DSRuCzL151XmUZ2O0p2Ob4QAi0QQk79\n",
       "f6SUU2z3BvQZZh4vezwcHY3IBZNBUTNPlxCCQDA4Ks9w24BMOC6xqGJsY2kIwfYG2HBAcOsSiWUz\n",
       "RifnVhWJB1fD5nr48QuC990Mc+dO4403DuLx5JJMJnG7vZSUVHD6dAPz56+gqkCnyZiH1t/M8eMH\n",
       "mT59AbquceJEIxUV1cTicbq62pkyZUamU0aWJSrnryS3oBj/S7+lpnwqcf8Afn8/mma2YZ04Uc+U\n",
       "WSvIn1zFFJcbn6bR1LgTW0cb5dEA+oHtaFqShKbRdnwnq2evRD+jIzndSC4Pfqcdee5yKu59HCnV\n",
       "1zrQfYYFU3zIPWdQ+tqwDHZDThFG5RyM3BKEYaBrGpFgkKSmYeg6Nrud3NxcrKmwum5AU4/C6V6V\n",
       "qYUaUwqHt/IYQvDWYdhcL7h/lcTcqgsbSt0QPPdKF3evK8Ruuzr5vnQI9mK1K7ds2cI///M/873v\n",
       "fY+VK1dehTO9/jFhMLNwJQ3mSK/yfJM+HTYcSdqcFq/VNC3DSZmtAH+p55X2KkdqAF5PyBZ3Htm4\n",
       "3vvCemSbFff8Ged+rq+b5O4NuJ74CnKqr1IIgTHYjdrXSmjmGrRAIDMe8VRIdyQZxWBEorHDwvLq\n",
       "xDkk7Gn4w4I/bRbEk/CJ+yTyvecfB0mSWLMAivPg128IblucR1mZh9bWNgoKinA4HMybt5gNG16k\n",
       "snI6vpw8CjwyRtkajp98Ea83j2PHGrDZHNxxxyP09naxfcebxBMRpk+bn7lHhmGw9+ghZt/0D9T4\n",
       "cpB6W0FRETmTOD3QjUQtq7M8VoC24zuZd9f7sWWJQnc2HaKwuJi8lXcOe2/7vjepqFmIlIhBNATh\n",
       "AUTrZsp8biQqEPmTYdoKsFjNjYkQxGMxs8VJCJwuF1arFWEYJBMJopEovVEHzQMuvA6DldVRXPbh\n",
       "z1w4ZuaFI3H45H0SPs/45vwPf9ZMc1uM29YUYB8/BfQlIfvZvJgQrK7rfPe732Xnzp28/PLLmQrj\n",
       "CfztmDCYWbgSBnNkq8ilSgeNFBIeTfXgYvsPNU0jGo1e114lDO3Q00QL2ffFv7ueY5//JvN++91z\n",
       "7pcRCRH57Q+xrb0fOW9o0ZHiEdTj2xHTl+Py5WfGIxqNmpRkNhuhUCgzFlHNwp5mB/PLk3gdo8+v\n",
       "g6cEL+4Q3DDbNILK+VgNRmDGZIkn7hI886ZBjnUKFn0PilKKJMk4HC6mTZtHff12Vq++m4o8HV33\n",
       "0u2ex29+91NuuvFOamvNHsfi4jJuXH0X27e/QX9fNwsW1OFyOTl82BTvrplmkgyI/HIID6L3dXJi\n",
       "xyssmroYqWk/2F0Iq4POvi7khMEkr9fM8abQcnI/06YshEAPaAmkZBwtEqSrfjM3zV2O1BQBh5eA\n",
       "gKJ503HevAaR8jiFECRSSkGxeNycsy7XsPEUAgbiMie6VWRJMKckiteWQEtqBJNDqiAtPQr/s1Vm\n",
       "fjXctkQa973eV+9n36EA//Vvc3DYr6x3md3zfDHPZn9/P5/85CdZvHgxzz///ETV62XGhMHkyoRk\n",
       "s8kHLjcBQbYBtdlsw8RrNU07RzYo7YEOLSxDxQPXs1c5snE9e4cuhODsb1/g1D99l1k//jo5y4a3\n",
       "ThjBQSJPfx91xgKsy24a+kMsjHRoPaJ8FuSb3pMkSWiaRiQaJT/VQ5rOgw6EBfUdNqp8AdyqRiw2\n",
       "XEw4Ghf8ZZugsw8ev12irODix8EwDJyWCI/dAq8fzGNf02TiWgfTq03d0alTZ9LaepqTJxuoqZmD\n",
       "XTuDv+cIrsKl9AyGhlX05ucXsG7du9i9ewtbtz5PXn4ZnZ2d3HLLexAiRWokSeD2cbL9NO5pqyhc\n",
       "djMiGjTvTTzCycNbqC6cgtR6BAwz/Nzn7yVxtpnSqhlI/e2gWkG10TzYS07FHBwLb0Gk8sDhs0ep\n",
       "XTgTzRAk4hHiqdqC9EbQ7XLhcrkyc1Y3oGNQoalHQZFhRnFavFsF1MwzmEhobDgIe0/AXUsiTCuD\n",
       "ZELFGIWPdTQcORHmhsW5V9xYappGJBK5qBAswL59+/jCF77AN77xDW677bbr8pl+uzFhMLOQNpjn\n",
       "08QcDy6HV3kxyM67pb8/nQdNh3ENwzArPlOLu6Iofzde5ch8Yvj4aU5+5T+It3ex8IUncc+ZNuyz\n",
       "Wsspon94EuvSNVhXZ4UPQwNIDZvNvsuyofBtJBIhGArh8/kyYXRFURiIWKjvsDC3LMkkrwVdlzMb\n",
       "Gl3Xaem18NIuG7MqBJ+8T8Zmvfg5l2Z5MYWjbbxnDVQW1vDDn20lmIxQO90sEKmtvYFt214nHA7T\n",
       "2dnCutV1WF2lvPD6Jp5/cxu337Qah8XcLNrtdlavvpVjxw7x0ku/p6ZmEWc7WygoKMNiUVFVC4bQ\n",
       "aGo6wg033GcaP08+ePLp7esk6immou5+RNbcatrzVyqW3Ys0fWEqbJ1SpTm6l+qaWgxZQU8micVj\n",
       "xBNtGCKXvr6+jASW3WY7Z4MXiku09Su0Dijk2A1ml2oUuA1GPrqSJBGMwLObzOXuM++S8DhdmTqB\n",
       "7DTHyDqB7Hlzw+JcvvwvxyiZZOeW1fm4nJfXcF6qdqVhGPzsZz/jz3/+M3/605+YPHnyhT80gUvC\n",
       "RJUsZPKDYIY00sw7F4trVVUEyBQQaZqW2RhkLw5pY/pOx1il90IIAnsP0/ajZxjYuJOKz32I8o+/\n",
       "D9k6tCiJZJL4phdJ7tuK/f4PYkkV+iAEdJ9GajqAqFkChRWZYwZDIWKxGHk+X9Z3QXOfwslulUUV\n",
       "CfLdwx+jpCZ4dbfg8BnBvSs0qoq0cxbs9HiMNSbZ3rPD4Tgnv3WosZUf/OIUXt80Vs+TcNkSvPDC\n",
       "H+jpaeb97/8c7hT/ajye5OU33kSzFLFw4QpKcnTcNnMeb936Crm5VTgcTpqbG9H1BDk5JXi9+bS2\n",
       "nURVXSxZcjOKLAMSmhZnz56/4nDkUVhYTCweIhIOEQ4PcuDADqqrZyKEASggScRjEZqbTzClejp2\n",
       "uxO3y4vd7mTt2nKWLBnKoaZ1K51OJ3Fdocuv0OFXiCYkSnN1KvLNcx4Lx9vM3PCyWRJrF5iFTKPd\n",
       "z5EkF3CuuHNTc5Sn/9jO/kMBplQ4mVrlpLzERmGBDZ9XxeVScTpkHHYFm01GVaRRvy8bhiFIJHQi\n",
       "0SiaZhCNWXA6VfJ8lguGi0OhEJ/73OcoKiriO9/5zrjVSSZwQUww/YyFtJAzDDHvXKznda3S2sFQ\n",
       "iEdV1Qz5dHYlbvrnla7EvdLIvk6Hw4HQdYL7Guh7bSs9f3kTI5Gk7CMPU/r4A6jeodYJIQRa4z5i\n",
       "r/0JpaQC+13vRfakFBsSMaRTeyEyiJi5Clzm73VdZ9DvB8CXm5u5V7oBh9st+KMSiyuTuEYs5B29\n",
       "gt+nSAjetUrCaRsKk4+2YI8s7MqEf1Pk93a7fdS5JoRgy9Zd7Dxo50AT4H+LhbOKSMTD+Hz5zJ27\n",
       "LPPeWCzGlrfeQLIWkF+5BkWG3uYtkExw0423Za6tv7+Xrq42zp5tob5+N1VVMxBCz6QeNF2jpaWZ\n",
       "+fNWYLM7sdvcOJ1uOjpOoih2Fi1aidXmQFUUJFnm4MENOB0+ZsyYTzQaxu8fpK/vEP/wD6spKipC\n",
       "0zQCoShhzU4wYac3pBBPShR5dUpyDQrcxnkJ7HVD8PoewYFT8J6bJKpLLu6ZHIslSlEUkprEidMx\n",
       "WtpitJ+N09OXYNCfJBTWicZ0IlGDRMJA0wWSNFxtRpLMhVXTRGZVVlJ/lxWJfJ+FeNzgJ/8+F69n\n",
       "7CDg0aNH+dSnPsXnP/95Hn744WtqzbkOMGEwx0K2wRwcHMTj8Yw7WX4te5XZ3taFQjzZlbjpn5er\n",
       "EvdK4PS//QTZZsNWXIDicZOIxUgEgtAfINHeRfjISUKHjmGvLCN/3SoK7rsZb+2c4WoXhoF27CDx\n",
       "zS+DYWC/7UHUqbNTfxTQ1YR05iAUTTEJ1lN6j9FYjEAggNPpxJ2VSwvGJPY1W8hxCOaWJ1Gzbpdh\n",
       "CLYcgq2HBXcvN5VIzjdPRobVswWEhRAZmafzHSMUCvHss69ypLEV3VlLhOlML43Q2/wKixYuo6Sk\n",
       "MvPeRCLO9u0bsFqtOLzFHDnaTPX8B7HZrHjtAo9D4LIKHFbBtrdepLBwKjNmLExdm5kD3bHjZXy+\n",
       "8szvwdzEvPHGM6xceS9e75DIQCwW4c03f8fNN78Hh8OJENA32I9iaWXe0iUMhmEwKpPQFHKdBvlu\n",
       "00DmOsU5IdfRMBAUPLtRYLfCQzdKuB1/+zM51jNyvjCueX8Emja0lBpCIEsSsgKJeIJEIo7LNX45\n",
       "LiEEf/zjH/nJT37Cz3/+c2bMOLe6+3Li29/+Nr/+9a+RZZl58+bx85///LyiCNcJJvowx0L2BL+Y\n",
       "wp+LaRW52sjO4Xk8ngue22iVuOkd9t9SiXul4KyuILC/geChoyQGAsgWCxa3E1txAa7pVRTdvw73\n",
       "gllYcs8loTBCAZIHd5DcsxkcTmyr70SdmZKOEgIGz5qGUlIQc28Ct7nQpxVtkpp2DovMmV4zBDuz\n",
       "RKPcpw9b1PuDJgmBLMOn7jdJBi6E9HxK5/DSfbJgjoGmaZlCmLGiAm63myVLpmG15lBZOYOBIOw7\n",
       "6aQ1Vkfzq5t4110eSorMa7NabdTV3crGjS+za9fvede7PkZFhUw0qROISgSiMp2D0NpynO5Oibwp\n",
       "tTT1SFgVUBWZUOAsHd2DTJt9B8FY6vokOHXiEBZ7MYaaT18YdENC1+HY0QZ021TODHqJ90rEkxDs\n",
       "72XZygr8YR23VaO6UMXr1M7rRY6GI82mmsvqeRJ18xhTgPticb5nZGSx3fAxkbCOyE+LlAScYRh4\n",
       "vZ5xb0bj8Thf+cpXiEQivPHGG1ec9/rMmTP893//N42NjdhsNh555BF+97vf8dhjj13R771WMWEw\n",
       "R2A8BvNa9ioNwximYHCpKg3ZhUTZlbjpnfWFKnGvNIoeuoOce9eSSCTGVSBhBAfRjh8i2bAXvf00\n",
       "lpkLsT/wIZTyavOchYD+DrOyMxlDVM6HgsmQmg/hSIRQKITL6SQ3NzdzneG4RH2bBSFgZU1iWAhW\n",
       "CMHeE/DX3YI18yVWzR3/4j0YSLL/UIDTLRG6e+PE4houp0pxkYOaKS7mz/Lgdcmj9udmL9bz5s0l\n",
       "EtlHZ2cHBQWl3LJIYsn0YtbvWMyPn3mD2iV3MLvaS0URRMMDJJNxVq++nyNHduD3dzNz5jKKc6yA\n",
       "QSIRo7NhJ7euugN3riChQUKTiCQlDtTvxltYS1fIjiEAAbphsK+hkRlzbuOsXzZDkzIgNM52HmXx\n",
       "0rsozDGwqgKhh0n4eqmbWYLdHr+o6tA0NN3MDTc0wwdulai4whR3I4vtgHOekdFSHWljmVZGGu91\n",
       "tra28rGPfYxHH32UJ5544qo8a16vF4vFklF+iUQilJWVXfiD1ykmQrIMVacBBIPBDC3cWO99J3iV\n",
       "Y+W2LidGy/Fkh3AvB6WfEAKEGBZKzWYlGo0mTBgGRl8XRmcLettptNNHMYKDqFNnY5lVizp93hCB\n",
       "t5aEnmakjuPmZyfPNot6JDPPG43FMj2V3iydVMOApl6Fph6VmiKNKQXDvcpQ1KSu6w/Ce9ZIFOeN\n",
       "g0VGF2x4q49X1vdy6kyE+bPdVJVbyfMpuF124glBV0+CY6fCHD0RYtE8L/fcWsTi+d7MRm+0PKim\n",
       "aWzevA9FKcfr9WXO80jjYfYfPo635FY6epP4OzYwf94KFsyeitMS4vix/fT0tDJ5cg1Tpszh2LG9\n",
       "yLKXRYvqhp13V1cz9fU7ufnmh4cZj1On6unsbKOu7q5h7z91qp6urjZWrrwjM8ZtbY3Mny8za9aM\n",
       "S9rkBSKC37wpcNrgoTVDueG3G6OFccHcaKY5jS+00RRC8Prrr/Otb32LH//4x9TW1l6t0wfgySef\n",
       "5Itf/CIOh4Pbb7+dp59++qp+/9uEiRzm+RCPxwEz72NJSR1l41ou6kl7lWNVTF7N8xgpWvu3VuLq\n",
       "fV2Ef/wvKJPKkHxFGA4XhsWGmpYa0zREIo4IBxAh2BYtcwAAIABJREFUP0Z/D8ZAL5InB6WkAqVs\n",
       "CkrVNJTSqiGjaxjg70LqPmMSeOdMQpRMg9xJGY8yljKUkizjcbuHzYfeoExDh4rDKphbpuG0Dn9M\n",
       "jrYI/vyWYOFUuHWxNKzgYyzsOeDnR79oId9n4f47J1E714mmxcfsxQtHdDZv7+fPr3ShKBKPP1LG\n",
       "8trcYe/JzoP29/fz+ut78XqrsdsdGa/n+PEGTp6sR9NgUsWNKM5pnB2A/gC4HeBQAoQHGujrrCcc\n",
       "6uWGFXdQXlaOL9eHx+MDYOPGP1BTs4yKiiERYk3TWL/+t9TW3kpBQXHm94Zh8Oabv2HBgrUUFZVg\n",
       "GAbBYJBw+ADvfveqcefGkprJiGQIcNoE//o7yPfAzYskkhpoulmAldQhqYGuQ1IX6Lop7aXp5u90\n",
       "w/y/YZjHMgwz2CDE8MUv3X4qy6DIoCrmy6KCTQW7TcJuBafNvG8eB+S4wGoZKuqKRqNompZhgcrO\n",
       "TY+10dQ0jW9/+9scO3aMp556Cp/PN677c7lw6tQp7r33XrZs2UJOTg4PP/wwDz30EI8++uhVPY+3\n",
       "ARMG83xIG8xwOIyiKJlJfSUJCP5WZHOjXi2v8mJwuSpxRSRMsrOFeE8nhIOoWgIpJYmGqiJZbEgu\n",
       "D5InB9lXgJxXNORBppGImbnJgU7o7wCHB1FYAYWVGbURwzCIRKNEUnPA7XYPI6APxSSOnlUJxCRm\n",
       "l2hM8g7v+UskBS/vEhxvMwtNxlOVqeuCnzzdwvY9g3zmI5UsXZhzUYoUQgi27xnkp8+0UVZi4xOP\n",
       "VVBabB/1ve3t7WzefJT8/Bpk2Qzn9vScZf36F1EUhbVr30VZ2RQkSUY3BIMhGAhCV5+f3TteweWr\n",
       "JRKJEQz2kYj7kYiSiPagJeMUl85AUeQU7Z9BYLCVRDzBpOJqkCRkWUGWVcLBbiLRMFOmrcJqycHq\n",
       "zCeZCFA2RaaotCZj6LINW1IzDZ+W+imEabT0lODLh++AnUchnjCNmtVi/l2RTYNmUUBRwKJKqLL5\n",
       "bzVl9OT0z5QxTP9MG8jMfWbIqOqp89J0SCTN84smBLEEhGMQjkIgYr6sFshzC3JdGpN8UDHJQnmh\n",
       "hCPLAx650Tx8+DBf/OIXqa2tpb6+nttvv52vf/3rb0vR3bPPPsvrr7/OT3/6UwCefvppduzYwQ9/\n",
       "+MOrfi5XGRMG83xIi0dnKwJc615lmhv17fQqLwYXqjJUVRVZ6CDJIA+RMFy0LqeuQSQA4QGkYJ9J\n",
       "xRaPQk4RwlcC+aVgcw07fppyzWaz4XI6h4XkIwk42a3S5VeoLtSoKtDP4YNt7TbbRSqK4N4bJOzj\n",
       "ICEQQvDt7zcRCGn80+em4rBLmVyRI0ttYzxIagZ/fqmLP7xwlg88XMo9txaN2v936lQTu3a1UFw8\n",
       "jba2Fhoa9jB37gpk2cK+fVsoLi5j5sxl2GzWVHhVYuvWlygqqmH27MWZ42i6oH8wwIYNf2bmnHVY\n",
       "rR403UgZkTgH9r7EjHm343LkYGAgdINEIkr9vucoLV+IIktEY34S0QFycnXe/6FHcditqErKg1OH\n",
       "PDmrmvLmFPP3kgTNXfDsBsGKWRI3Lbx2nstsCCHoDyQ525cgELXRF1To6DWv5cN3jm38YrEYv//9\n",
       "73nuuecIBoMcO3YMj8fDqlWr+MEPfnBVvcyDBw/y6KOPsnv3bux2O48//jjLli3jU5/61FU7h7cJ\n",
       "EwbzfEgbzLQRstvt12RRz1iKG+9EjKwy1HUdS38bzrbDCLsL4fCiKVaE1Y5qdyFbrKYxJRUz0zXQ\n",
       "k0jJGCSiJm9pNGQKOjs84MpFpBhocPtSnx1+D6OxWCYX6nA4Uk34JsJxiVM9Cmf9ChV5OlMLNSwj\n",
       "9iW6YWpW7myE+1ZKzJsy/rHYc8DPk79u5QffnIUQyQwB/t/SfN7SHuX//vg0DrvC//5UNb7cc4uh\n",
       "Tpw4yYsv7qKvL8CSJWvJyysCIBaLcuDAdvz+HmbMqKWkpIq9ezeRSMisWLEuFREYqo7evv0l3O5i\n",
       "5s1bNuz4e/e+gaI4WbhwuEJGY+MuBgcHWLCgDkWRsVptdHc3sWCBwvTpNeO6PkMIttTDWw2CB1dL\n",
       "zJh85ea+EKkw7YgQrUQqNCsN90KHf1YMK77Lzu2ej0nMMAx+9KMf8cYbb/CrX/2K4uJihBAcO3aM\n",
       "bdu28dhjj111ftjvfOc7/PKXv0wxRtXy05/+dNwtMO9gTBjM8yGtiRmLxTJ6kLIsX1O9h9le5ciH\n",
       "8HpAxoAm4miBfqRoEDkZRdWTyIaGLAwkMoSmZl+kakFYbGCxg90FdrfpPWb3W6Y820QiMYyX1G6z\n",
       "ZajWht4L/WGZM70K/WGZinydKQUa1lEc+F6/6VU6rPDgagmv6+IW71/9oZ1wROMDD+YD4HQ6L8t8\n",
       "03XBr/7Qzl/X9/CV/zWVBXPOFQzev/8AR470UVg4E7t9eGtCZ2cbjY176ew8g8Xi4q67Hsdud6Lr\n",
       "RqrgzaC19RgtLWdYs+b+YV5/d3cr+/dvYe3aB7FmhcXD4RDr1z/LsmV3kp9fgKpaiMUixGKHuPPO\n",
       "ZeNagENRwR83m6HP964dX3vOWEhqEIpLhBMS0YRELGm+4ppk5j11CU3HnGYpw5j+NoOh8Kwqm56v\n",
       "VRXYVLNP1aHqKMTw2gW5HtsFmX7S8Pv9fPrTn2b69Ol84xvfeEdEja5jTBjM8yFdlp/ub9NTObJr\n",
       "oe8wOyz5TvcqR0LTNDRdx5K6xyPFndPMNuOtxM00++s6WjJJMtVHCpj3LnX/Rm42YkloHzB5SSWg\n",
       "Ml+n3KejjrInEUKw6yi8vk9wyyKJFbPOT0IwGoQQnDoT5Mv/cpL7bi/grlsmUZB/eZvB99b7+fcf\n",
       "nea+24p437tLzjnHrq4utm9vBIrJy5s07G/Hj+/n8OEjFBaWEgz24vHkkpc3iby8YgwD9u3bzPLl\n",
       "d+Hx5GRSFrqus23bc8yatYqKiuph17ply19wufKprV1JWvPy7NkGVq7Mp7y8/ILX0tQp+P1GwcIa\n",
       "s5DqYtRcEhoMRGQGIzL+VE+pZoDbJnBazZfdYr5sqsCqgkURmdzmWBDCzLMmdbOPNK5JhGIGwYhB\n",
       "TLcQTqgYAmaVaEzOO79g+KFDh/jsZz/LP/3TP3HPPfdcN8/3OxgTBnMsGIbBl7/8ZZYuXcrKlSvJ\n",
       "zc3N/D69UJ+PquxKn1u6Yd2Rrgy9jhCPxwmFwxmjlu5ts1gspoefDodLEhJkcsqarmOkKgxJ9VEa\n",
       "KQ81PT4WVc3oio5236IJ6AoodPplAjGZYq/O5Dwd33nYZIIRwf9sEYRi8PAaiaLcS+McTvPADgYV\n",
       "fvfcWbbvGcSXY6G60knJJBsFeRZyvRY8bhWXU8FqlbFaJKxWOWMsZBkkWUIYAkOYi3siKTJ9xLGY\n",
       "wdmeOP/xX6eZWuXkX748jVNnoiiKhKYLYjGdWCzCkYZjdHQk8eZUYrU6OHlyD329Z5k//zacLg+6\n",
       "liAY6CYY7CEQOMupE3spLi6jqKgIm82Oqpr5ztOnG1EUBzU1c7FYbDgcTmw2N3197XR2tnDbbY9k\n",
       "vCa/v4ecnA5Wr6497zNkGIINB2FXo+DBGyWml1/4fhsCBsIy3UGZ3qBMJCGR6zRZgnIcBl6HwGEZ\n",
       "H2NQeryyMRYV4WjFWjFzWmMfw4EWQvDMM8/w61//ml/84hdUV1eP/sYJXG1MGMyxYBgGmzdvZuPG\n",
       "jbz11ltEIhEWLVrEqlWrWLVqFfn5ZshsJFVZNoH55Tagl1Ts8g5FelOg63omf6enDKMwDARDi5YE\n",
       "pvGUpCFjylALRbbBHFmJG9fMhbQvbC6kcU2iyGtQ7NUp9BhjCjunceSM4LltgiXT4Zbai/Ny0hiL\n",
       "B1bTDFraY5xuiXK2O07fQIJBv0YwrBGO6CSTBvGEIJE0MAxh5tdSP2U5tZkQAqtFzqR57XYFqyoR\n",
       "Txo8cFcxp1sivL6pj5JJNlRFwm6XM/2biVg33Wc76Os+i66rlE5eg6zYUuNjUrvFYlE6WjegqBUo\n",
       "tmnoWhSnQ8fjFqAdR2GA1XUrsVoEiUSMaDRMINDD0aP7KS2tIicnF683l5ycInJzde67bwkez7lM\n",
       "TGkEwmbIWwCPrDl/yDsdSm8flOnyKzisgiKPQYFHJ9cpRvUUTf7b4W1Q6TaP9NwzRlkf0zUN6ZSN\n",
       "LMsYqQpwl8s17vapaDTKl770JWw2G//5n/95juj4BN5WTBjM8SIej7Nr1y42b97M1q1bGRwcZMGC\n",
       "BaxatYq6ujqKioqQJGnMxv1sdYNLMXJpMWK4/rzKs36ZaFIyd/p2gTBMsoXLFWoWQpBI6oRigmDU\n",
       "5HeNJC2EEiqaIZPrNMhzGRR6DHIc4/My4gnBSzsFTZ2mV1k56dK8yvHy+l4p7D7g5/s/PcMdawt5\n",
       "37tLzsmt6brOkSNH6OgI4feDLPtwuXJxONxEoyF27nwVn6+KRYtuACCe0AkGdRqOHOJg/X6c3tW0\n",
       "dMosmO3h1hu9QIKdO19hypR5TJkyg8HBfgYG+ujoaGD16koWL144Zo/ueBRGwAy3tvQrtPQrqDKU\n",
       "5ZrE7CN7Y7Pz2IlkkmQymZG5U1UVNa2JqSgoKSOYNozSKBuz9OYskUhkBK3TG2pFUcjPyxvtdDM4\n",
       "deoUn/jEJ/j4xz/Oo48+et1uht/BmDCYl4pkMsnevXvZtGkTW7Zsobe3lzlz5rBq1SpWr15NaWlp\n",
       "xoBmh3Avlvnm78Gr7A3KdPpl/FGZYExClQ1cNnBYwa4KrKow2wcUgZLqi0vfAcFQc7lmmEUZSV0i\n",
       "rkMiKRHTzAKOpA4Oi8BlE7jtBm6rjsuaxCYn0fWLC623dJlezpQSuGe5dEmalRdiJrqa6O6N868/\n",
       "aMJmlfnyZ6rJ8Y5uuAOBAN3dvbS19dPXF6K+/jBudzFTpsxHlq2oqgVFsdDS0sjp08dYteoefL4C\n",
       "AsE4f3qpC5slQUnefvLzy5k/f3nmuF1dp6iuNqitnXtOj64sy0iyyqZDFg6dls+rMJKuYO70KxR7\n",
       "dSrz9XM2QIZhZIq80n3WVqsVaypMf0HhdCFApJgMJMmsss4ynPF4nEQiMao4+flk2V544QW+//3v\n",
       "8+STTzJ37tyxv38CbycmDOblgq7rHDx4kI0bN7J582Y6OzuZMWNGxoBWVlaOaUBHhgszqvFZXuXl\n",
       "qpa8VpGm8FNVC0JxEE3KxBJm0US6SlE3JLQs1hVShlOWzJeqgCqLYRWKNouZm7JZxi7WGMmJOzK0\n",
       "no4MGAI2HDCLe+5fKTGn6tK8yvQGKFv4+O2Gbgie+k0bG7b28b8/Vc2ieedW0WbDMAwGBwczBXGR\n",
       "SIxIJEk4HKe+/iAFBWUoipVYTMMwZNo6JZ5/8S3uXFfDokV1OBwuLBYb3d2nKS2NsWLFgnOiJkII\n",
       "ev06f9gENovg7qVRnLZzNzbRhMzxLpWeoFnBXFWgYVOHHycejxONRoknEmboO6Xscs6GVdcgPAgR\n",
       "P1I0CLGQ2a+bjEIyYf7dzAGkDm6kKrOt6KoNYXUie3xInjzImZRRsxkLyWSS//N//g/d3d385Cc/\n",
       "OW84egJvOyYM5pWCYRgcPnyYTZs2sXnzZpqbm6mpqaGuro5Vq1YxderUYSGbkdRxYBrMdA/etbCo\n",
       "Xg4MhgS6AXmeIVL7ND3Y30IMf7kxMrTeHxS8uMuJzQoP1kGu5+JD6yOrfa/FsPreej//349Os2qZ\n",
       "j4/8QzkO+6WdY7aSimHAV7/TyJTyBPfeVkpfX5ieniDhcJKqqlxqa+eMOu6Hzwj+8pbgxhRJfbrA\n",
       "K0NknjBoHnDSHbYz2RenukDHZh1OIReJRs2NWIr4Ia39mkEiCoNdSP5uCPSaBtLpBWcOwuFNtSQ5\n",
       "wWoH1ZZiScj6vBBo8SixoB8rOlY9bhraUD9i2jLz82Ogs7OTJ554ggceeIBPfvKT1/WG+DrBhMG8\n",
       "WjAMg2PHjrFx40Y2bdpEU1MTlZWV1NXVUVdXx4wZM5Blmf3796MoClVVVRmqsmzquEvhXr2WsP+k\n",
       "qR6R1KHYJ/C5kxTmSBTlWfC5JbwuMxT7dl6jIczCGd0w++mONMMzbwpmVQjmVZlRgaRmYBgyBgq6\n",
       "kNENGcMwK03TVG4ZSjfDZMFJJlOMRciM9ohl07BlKNxSvKQ2q8lL6rKbL3eKl3Q87EEXi2BI40e/\n",
       "aKHhWIiPf3AyNyzJHfd4jPSgY3GJ7/zwNJIEX/1iDZYsQdBEytsbeeykJnhll+BYG7z3JonJIxRG\n",
       "DAEtfQonulSKczSq8+PIJDMbTvMY5ibU4XDgGrkRiwSgtwWprx1iQZM3OKcIvIWmGPg4Ddf5QrAX\n",
       "+tymTZv42te+xve//31WrFgxrs9N4G3HhMF8u2AYBk1NTRkDevToUXRdp6Wlha9+9as8/vjjqKo6\n",
       "jDouO68zWsXnOwVCCHoHYrT3GvijNgZDMv1B8IfNl6abhNUOG9itYLMMGY80TZqclctMK3HB8Jxm\n",
       "Ns+nrg/n+0z/O6kPcZNquvn+ZCrqZgi4Y6mEJMEru0yKO9OYp7lHBYpsIEsGimygKhJWi4xFlbGq\n",
       "MqoqocoCTUsABnabFYtFMc9bGhHZS4WZDWPIyCazeEljSUE0DpG4yUsajJr3SpUhzwuFOTDJJ1Fa\n",
       "AOUFDOMlvVTsq0+Rv+dZ+cBDpcydef5wYbaeo8PhYNueAD/5VSsrl+byjx+YjKpeeJ72+gW/XS/I\n",
       "98K766RzrsMfkahvt6DKMLcsicc+tBwlk0mCoRDJFMlIuodXlmVUSWAdaEftbTZDrIUViPxy00iO\n",
       "EBA3BnowutowersxBnpMAv9wEBJxhJY0e0YVFcNmA6cHS/4klOIy1Jq5yO7zh7J1Xec//uM/2Lt3\n",
       "Lz//+c8pKCi44D2ZwDWDCYN5LWDnzp186EMfYvLkydx7773s27ePI0eOUFhYmAnhzp8//xwDms29\n",
       "+k4xoJqmEY1GM2T2o51rUhsyDvEkxBIpsm3NbArXs4xh9lRNG6B0TlORTYcuzT+qSEN8pLI8xEea\n",
       "VpiwKCmibhW2H4ENBwUfuVOiZBwyXOlxyR6b9O/TPLCXu0dXCEEkDn0B6BmEs/2Cjj5o7wOfG2pK\n",
       "YXq5xJQSxqWOMho0zeDVjb38/vmz5HpV7ri5kJVLcs8pDEq3xgRCsO9QlFfW9yKE4BOPVYzKKjQa\n",
       "9p80K49vrZVYNnN4lEE34ESXSuuAwqziJGW+IZJ7XdcJhkLE43HcLtcwPUkRDUFbI3JPM5qngLhv\n",
       "MpqnADXVh6soCvR0op9qQDt9DL3tNJLdgTKpHLlgErKvEMmTg+TyIlltSKoFTUsSC4VQ9QRqPIoY\n",
       "6EPvasN6wy2o5WP3TPb19fGJT3yC5cuX85WvfOWqhOQHBwf56Ec/SkNDA5Ik8bOf/WzCo710TBjM\n",
       "awGPPfYYd911F+95z3uGlaq3t7ezadMmNm3axKFDh8jNzc20sSxatAiLxXLOQp1tQLMLI95uZIev\n",
       "3q4WivEgGBX8z2ZBOAaPrJXI9156u0g65AiMi+Qi/dj9rTZVNwQdvXCyA461CnoGYXYV1E6TqJp0\n",
       "aeFu3RDs2jfI65v62H84QEGehYoyB26XghAGA/4EnV0aA4NJlizMYd2NBSye7x0XBVw8KXhhu6Cl\n",
       "G95387kblGBMYn+LBadVMLcsmWn4T3u0oVAIh8OB2+0emuvxMFJLA/S2QnE1onQG2JyZAq9kZyvJ\n",
       "gzsQR/cjJAm5ehbKlJlYqqajekcPQWeHmy92Du/Zs4cvfelLfPOb32TdunVXLeXw2GOPsWbNGj78\n",
       "4Q+jaRrhcJicnJyr8t3XISYM5jsFQgi6u7szBnT//v24XC5WrlxJXV0dS5YswWazjUpenmbKySZT\n",
       "uJq4lloozofGFsFzWwWL/wYSgnRlsyEkhOIkllSIJCViCVK8pGafYFKX0A0JQ0imp5z1LEoIU2JK\n",
       "TlX9qmBVTJo2h1XgsgrcdrNFZjyn6A8L6ptgzzHzuHVzJRZMvXSvM6kZtLTFaG6LMDAYxTAEhflO\n",
       "yksdTKlwolzEcTv7Bb9bLygvNInqbZbhG4iWfoXjZ1VmlmiU+4YEuTVNY9DvByAnJwdLOn+oa0it\n",
       "R6DzBJTUIMpmgsUkWxC6jnZkL4kd6zEC/VgW3IBl3lIoKBlW5DWa5JwkmaoxQoiLqlg3DIOnnnqK\n",
       "559/nl/+8pfjovy7XPD7/SxatIimpqar9p3XOSYM5jsVQgj6+/vZvHkzmzZtYs+ePdhsNlasWEFd\n",
       "XR3Lli3LsISMrPiEq8OHm+1VXkstFCOR1qw80QYPrZGYUnxx52jykkr0hwT+sEREU4lrMg7rCF7S\n",
       "FCdpuq9URkcYGkLo6JqGEAayrKCoKrKsIiQF3ZBJ6JDQTCLwaMIkBw/FzP+77YI8l0G+yyDfbYzK\n",
       "c5uGEIKTHbClXtDjN4WVa6dxSRuDdBvQpZJLZHPv3r1MYtG04Z/XDDjUZiEYk6itTOK2icznotEo\n",
       "wWAQt9s9LPzKQCfSid3gLUBMWWhWt2LmJZP1O4lvfAHZ68O68lbUafOQRgmJxtrO4t9dT2D/ESIn\n",
       "m4l3dqMNBBDJJJKiYsnPwVFZTtlHH8ZXt+S81xgKhfjsZz9LaWkp//Zv/3bVoyoHDhzgH//xH5k9\n",
       "ezYHDx5k8eLFfO9738PpdF74wxMYDRMG83qBEAK/38/WrVvZuHEju3btQlEUli5dyurVq1m+fDku\n",
       "l6n3eLn5cA0jRVEnQSCoIUkSSU0jGIxiGOBw2DEMCUMI5EzIGVRVQlEks1jGKmG3K5e0eP8taO0x\n",
       "CbwvRrNSM6AvZFLp9YZMliKPLYnHqpHnkcl1SjjH6f1lY6wWo7EqpDUDAlGJ/rB5Hv6ITJ7LoDRX\n",
       "pzjn/LR+LV2CV/eYoed7b5CYWjr+KtiLEbMeDdG44M9bBX0BU2GkcAT3biQhseeMhRyHGYJNX4cQ\n",
       "An8gQDKRIDc3d8gAGTpS037obzdbOXwlmWNprU3EXnoGSbVgW/cAatX0c84n3HiKrj/+lZ4X15Ps\n",
       "6ce7bD6ehbNxTqtELsrHcDuwu10ITSPW3U+0qQXH7Bq882aM+cw0Njby6U9/mi984Qs89NBDb8tG\n",
       "cc+ePdxwww1s27aNpUuX8rnPfQ6v18vXv/71q34u1wkmDOb1CiEEoVCIbdu2sXHjRnbs2IGu6yxZ\n",
       "soS6ujpuuOEGvF5v5r3phTptQC+GD/fI8RBf+GojFouMJRVSkyVQLRIWRcYQprK9JJt93gBIoGkC\n",
       "XRdouiCRMIjHDSxWGbdTIcejUlhgpXSSnarJDubMdDO51H7ZFh7dEGw8ADsaxbg0KzUdzgZkOgdN\n",
       "iS+vw6TSy7UnsIgwVutwHlgYru2p67rJhZvmJRXiHE5cGOIkTfOSZo4nTP5URZYzxPEjw+tJHboC\n",
       "Mu0DCoGozOQ8U4bMdh6S74ZmeHmnYEox3L1cwmkf+z5cjtB6a4/gdxsEM8rhzmUSFnX49w1EJPae\n",
       "sTK1SKMqfygEaxgG/QMDKLJMTk7O8FzlkS1gd5vGUjV5h4WmEX/zOZL1O7Df/jDqvGXnjE3/m9tp\n",
       "/r9PEW1qZdJDd1J4/y14F89FSvVHp8nwR9OuHEl0YRgGX/ziF6mqqkJVVV577TV+9atfMf3/b+/M\n",
       "A6Mqz/3/ObMlmSyQjbAkJCEECHvYakhYBK171Ypb9aK1YLXggr9rtWj52Xqr+MOlVq/UFq8i1uVS\n",
       "F4SrXMCaaFjDFnYIkLAEAmSfzD7nvL8/JnPIZBISEBKE9/MfmZw57zkT5nue532e79MvVKA7ioqK\n",
       "CnJycigtLQWgsLCQuXPnsmzZsk5b048cKZiXC4ECifXr15Ofn8+aNWtwuVyMGDGCvLw8xo4dS2xs\n",
       "bJAf7plcb5oLl6oJnE4vCA9wbn63Qghcbo0Gu0pdvZeTlR7KK1yUHnJSvMtGpNXI1Dt6kTfmh02X\n",
       "r6wTLC4QhLcxs9Jv3q1wpNrEiXp/9Najq0pSjIbJEBxpGY1G3Zc0MD7M5/Od3j9u5kna3Je06T0Q\n",
       "TaasaIGCLlXVp7eYTCaMjcc332sLvK/drVBaaeRYrZHUeJW+3XytRpxur2DVJsG2Urg1V2FA79D7\n",
       "4fF4cLlc52zPqAnB6h3w3TbBzbkKg1twSTppM1B82MzQFC9JMZr+c1VVqaquJjw8nOioqNPntteg\n",
       "7ChA9OoPvQbo1VKarRbnx39FiYwm/OapGCKD22EcJWXsfeJFPBWnSHtqOom3XI2hSaQceDAIVDe3\n",
       "51pVVeWLL75g8eLFbNmyherqaoYMGUJeXh733nsvw4cPP6v7db4YP348CxYsoF+/fjz33HM4nU5e\n",
       "eumlTlnLJYAUzMsZl8vF+vXrKSgoYPXq1dhsNoYPH65X4iYkJJzRUL5plOP1ei+o360Qgs3b63ll\n",
       "filP/qZt67bW3mPDXli5UTApW+GKgegp4qaomn8OZmmlX/B7x6n0jFV1u7XAF6qiKCgGg9+82+NB\n",
       "AcwWi+5Jaj7PBVZCCNRGc29PoxeqwWjEYrFgahRsCE6vu31G9laYqXEoDEvxEh/V+n/f0uOCxd8J\n",
       "BqScjv7OFGm1l8CQZ6fbn4KNjQ695yfqDGwrNzMq1UNs5Ok1BsTS2lgFe/pNa1B25CMyRkBiqv5j\n",
       "raYS+8JXsQwfi2XCDSF/h8f/8SUHfv8aqU9Op9f0O4KEEk4/GAQcttpLWVkZDz30EPfddx8PPPAA\n",
       "TqeToqIiCgsLyc3NZeLEie1+r/NJcXEx06ZNw+PxkJGRwbvvviurZM8dKZiS03i9XoqKinRD+cBT\n",
       "csAPt3v37q364YLfxDqQLrxQezZ/++AI1ggj997W86yOszn9MyttDrhjYsszK30qHKoyUlppIiZC\n",
       "o0+CSnzU6X4/IQROlwtnY3O+qmmEhYW1OoAaoYGzARo9SRW3w2/F5vOAzwuaejpHbTDqnqRYIhDh\n",
       "kRARDZGx/uKVVtoc3B4PDodDj3StEREhqUKTyUStK5xdJyJIT1DJSFRbejugcX9xtaC6Hu6cKAg3\n",
       "nl2k1ZwDx/zR/JmGPFfaDGw5bGZ0uoeu1tONT/gGAAAf6UlEQVRfL5qmBUWWOm4HytYViD4jILH3\n",
       "6d9vqMe+YC5hOVdh+cmkkPMc+vN7HH/vM4Z8/BqRAzKCXjvXBwMhBCtWrGDu3Ln89a9/JTs7u13H\n",
       "SX6USMGUtI7P52PLli26gJ44cYKsrCx9JmhBQQGrVq3i7bff1lOSTYtVWjKU/yGcrHTzyOxdPP90\n",
       "P/r1iWz3cbvKBEvW+NtFJmUrIe0UqgZlVUYOnjSREKXRN8kX5CAjhMDhdGK321FVlYjwcCIiIkIj\n",
       "aVcD1J1Eqa+Chmpw1Pk9SBs9SUWYFSwRYLaA0eIXSUPjoEpNA9XrN/j2OFFcdnDWQ0ONXyy7JiHi\n",
       "ekF8L/9xzfD5fNhsNrw+H127dNGjo6YPN3aXxo6KGLpE+BiQ5MZsbvmz0TSNwu0q321XuDVXMCj9\n",
       "7Ks7VU3w7VZB0V6YMk4hs5UhzzaXwroDFkakeoKiXyEEtXV1KIpCl5iYJnu5GkrxN4j4XpAy8PTv\n",
       "axqORa9j7JVG+FW3hpzn1LJvKXn6/zFy5ULCenQLXus5pGDBf8//9Kc/ceDAARYsWKAPmZdcskjB\n",
       "lLQfVVXZvn07S5cuZf78+RiNRiZNmkROTg55eXm6/22giKhppNN0n+1c/HAPlzuZ81IJN13Tjdtu\n",
       "6N6uY9wewbL1gtJWZlYKAeW1BvZWmOkSodG/e7BQBr5I7Y3p14jw8ODmeE31C2RVOdQc90+y6JKI\n",
       "iEmE6Dh/dNjGtIo2EcIvxDUVKFVH/AKa1AeRPMAvvs1wuVzU1dcTFRmpV0U3xeMTrD9oIc7qJbVr\n",
       "Q0glrsFgwOVy+ft+bVb+Ox/GDlIYN6T9hgd1dsEn+f5RbHdMUIi2tnycT4XCEgt9k3wkx2pBrzmd\n",
       "ThrsdhLi44PPW74XpeooYsikoKjbu30D7jUriZz+O5RmaXChaawbdiNZf32errkjg+9HkxTs2bQ9\n",
       "nThxgl//+tdcc801zJo166LtLZacV6RgSs6OFStWMHXqVB544AF+//vfB/nhlpWVkZ6erhvKZ2Zm\n",
       "6gLa3A+3pWKVM7F46XGio0xce2Viu9Z56IQ/FdjazMo6h8KOY2aEgIE9vcQ12TfzqSr2hgacLhfm\n",
       "xig5KirKn6YTAupOoZwshaqjEBHjj3bieoK1S0jqVDjtqFUnEHXVaPW1CKcD3E6E5t9vVMwWlLAI\n",
       "lJiuGOK6YezWEyXiDNGzqwGlfC+cLEP0Hgw9+4Wc0+fzUV1TQ6TV2qJoun1QWBLGsGQv8VGnXaK8\n",
       "Xi+apqEoip4daHCZ+PBfkBTr93Zty+xg92F/y8jYgQrjh7Y+5BlgR7kJVYNhKb7geyYEJ0+dIrZr\n",
       "1+B9RE1F2fAlYsiVfpP0JjT87QXCJt6Eud+QkPM07NjHjqlPcsXmJUHncLlc+pScs9mbXb16Nc88\n",
       "8wyvvPIK48aNa/dxkh89UjAlZ8f27dux2+0t+lFqmkZJSYnuRrR//35SUlL0IqKsrKwQAT3ffrg+\n",
       "VfDNFsHmfXBzrsLA1OC/ca8KeytMVNQZ6dfdR0oT9xhVVWmw23E6nf4WEfz7suHh4SiqFyoOolTs\n",
       "B8WASEr3F5uEnW4CFz4vankZatk+1KMHUY8fQbidGBK6Y+gShyEmFiKsfoE0GkGA8HkQTgfCVotW\n",
       "dRL11DEMMbGY+g7GPGQ0xl5pLV+oox5l3zr/fueAsSFpWp+qUlVVFSo6jZysN7DrmInx/T0oBBtM\n",
       "BKbkBD4fjw++2hiB3WXg3skQZQ1tM/KpguVFgl1lfkvB5tF8cxpcCmsPWJjQ342lWRAeGMkVHxcX\n",
       "/ELlEZTjJf7osgnCYcf2598R/fSfQ6JLgLqibeyb9QKjCz8G/H+ngaKtIOODNtA0jTfeeIOCggIW\n",
       "LlxIUlJSu46TXDJIwZRcOIQQlJaWBk1k6d69ux6BDh48GKPReF79cBet1NAE/HycQnRE8N/3yXoD\n",
       "28vNJEapDOjh07+ohRDY7XYa7Ha/R6jJpI+GMgsfSvkeqDgIsd0RPfpBTIIe1QmXA+/eYny7t+I7\n",
       "uBtDfBKmtH4YUzIw9uiN0jX+rNLPQlXRKo7g3bsNb/FaDNFdCPvp7Zh6Z4T+sqai7FkLCogBuSGR\n",
       "ptPloqGhITStiT9QXnPAQp8EL9Emmz/l3EJvpe696vWxcpPC3qMGbh/nJKHL6QecKpvCJ99CbLT/\n",
       "vlvbMSlle7mJMJOgX5Ia8lp1TY2+T9wU5eBmhDk8aO8SQD11HOdHbxH16PMtnktze1g75AYGvfcS\n",
       "kaOH4HQ6z7qau7a2lpkzZzJw4ECee+65i2Zuq6RDkYLZGTz55JMsW7YMi8VyWZV6CyE4cuSIHoHu\n",
       "2LGD+Ph4PQIdNmyYbih/rn64dXZBjDV4v82nwc5yE1V2A0OTfSREnd4vc3s81NXVYTKZiLRa8Xg8\n",
       "/sZ8sxFj+R6oOACJqYjkLAiP1K9DPbQPT9F3+Eq2Y0rrj2lgNqbMISE9fz/ofmkavh1FuFZ8inlk\n",
       "HmETbwr9gtdUf8Vo8gDolh58vBCcqqwMKgJqSkkF2Jwag3p62y0e63cLVm0W/DxXpXeil00lCgXb\n",
       "zUwY4mN0f1otJApeF3yzO4ycDA+RYaFfJydOniQhPj4kTarsWYOI7QFJza7T5cD2ylNEP/UaSitC\n",
       "VrVqNbumP0uvp6eTPPXnWCLC27zWAMXFxTz++OPMmTOH66+//qK0d5R0CFIwO4OVK1cyefJkDAYD\n",
       "Tz/9NABz587t5FV1PEIIjh8/rvvhFhcXExMTw9ixY8nNzWXkyJFYLJYQx5yz9cPVBBw4aSQ9QdW9\n",
       "VjVNw2az4XK7iYmOxmAw+PtILRbCao6iHNoOcT0RqUOCPEl9O4pwF/4vaCqWURMwD/0JirXlPUdP\n",
       "ZTWOvaU4D5XjPVWDr8Hud/AJDyOsZzes/dKJGto/pBcwZP0N9Tg+eB1z1gjCJtwQ+gs1Ff7oa+T1\n",
       "IS/V19djMBiCehgD+3cn6g1UNERyRYYv5LgzcfC44B+rBE4P9EqA28ZBfHRwm9GZirw8Pvh2bxjX\n",
       "DHK3+P7HKyronpQU8nkqBzb5K42Ts0KOsS98DfOgkVhGjQ95LZCCdewoofw/3sKx/xDJ0+8k9f/8\n",
       "6ozXKYRg0aJFfPTRRyxcuJC0tLR23B3JJYwUzM7m888/59NPP+WDDz7o7KV0OkIIKisr9Qh08+bN\n",
       "RERE6FW4o0ePJjw8PMSa7Fz8cL1eL3aHg6jISNxuN0IIIvBhOrARhIboOwqi4vR1+fZsxb3qcxRr\n",
       "JJbx12PqOzjk/b019VSt+J6ab9dRU7gRtb4Ba/8+RKSnYEmMxRgdBUKgOly4j53Avms/rqMVdLv5\n",
       "KlKfeICIPimtrlez1WJ/649ETnsaQ3xwWwRCoKz7FDHyRn8bSxMa7HY0VdVtEJu2UNR7IzlcbWJM\n",
       "urfdnxGAwy1YuVFw8DhcmQ3DM0LTuC1VSQc+G49qYl1pOJOzWhbM1iJMKo+gHNuHGDo55Bj1+BEc\n",
       "77+G9d5Hg/Z9WzKJt+8rxXOy6ozm6Q6HgyeeeIKYmBheeeUVwsLC2n+DJJcqUjA7m5tuuom7776b\n",
       "X/ziF529lIsOIQS1tbV6BFpUVITZbGbMmDGMGzeOMWPG6JMXzsUPt/mXqWF/EcLaBXpm+idPA1r1\n",
       "KZzL/oGw1RL+0ykY+w4KsbKr/X4j5e8spvpfa4nNG0ncVbl0HTcKa2Zam+k7d8Upji38jPK/fkzm\n",
       "vN+SNOW6Vn/X9dXHKFExhI0PjSSVTV8hBuT4W1maYLPZAIiKitJnOQZaKA6cMuH2KQzq2f4Ic89h\n",
       "v7FBv2RI7aaQXywY2geuGqm06JoEhBR5ebw+1h3pxrg+tVjMoXvU1TU1hIeFhU7V0FSUjf+DyBwd\n",
       "ZLAewLu3GNcXCwmbdDOmEXl4vF48Hs9Zm8SXlJTw8MMPM3PmTO6++26ZgpUEkIJ5obj66qupqKgI\n",
       "+fkLL7zATTfdBMCf/vQnNm/ezKefftrRy/tRIoSgvr5eN5Rfv349AKNHjyY3N5ecnByiGr1G2/LD\n",
       "9Xg8ektBa1+mQlWxz/8j5uE5WHKuQmnWU1m1ag2lz7+J6nSRPP0uut1+Heau57aH2bBrP1tvepDs\n",
       "r98hsl96i7/jKSpAPXaIiJunNr8xKOs/R2RfG1S1C+i2cpqmoWma3kIhBKzeb6F/dx+J0cE9kC3h\n",
       "9Qm+LhLsOeTvaU3v4f/uaHAKPlgliLb6ey6bm6m3hBCCNQcspMa6iA13BVn6mRoLruwOR4vFStQc\n",
       "R9m33l8paw21R1RPlONc+gGaowFl5His2TkYrVEhv9faupYsWcKbb77JggULGDhwYNsHnQcCQxGS\n",
       "k5NZunRph5xTck5Iwews3nvvPf7+97/zzTff6HMrJWdHoLp17dq15Ofns3btWrxeLyNHjtQN5bt0\n",
       "6RIkoIGmfKBdbkTC60VpNsdQtTvZNX029r2lZPzfR0i48coW2xnOlgNzXscQbiF99sMtvu4u+B+E\n",
       "20n4T6cEv2CvRdlZgBj9s6BKWVVVOVVZSUSjL2rTaSqnbAZ2lpuY0N/Tqk1egJO1/gkjCV385uwR\n",
       "zapgfarfK7bGBv92tUJURNuiebTGwOEqEzkZHiA4xe71enG53ZhNJiIjI0MzBCcOopQWI/pfERJp\n",
       "+nw+HHY7pmOlsG0dvv07sWTnEn79XWdcj8fjYc6cOVRXVzN//nyio89f8VZbvPrqq2zatAmbzcaX\n",
       "X37ZYeeVnDUt/mHLeukLzPLly5k3bx4FBQVSLH8AiqIQFRXF1VdfzdVXXw34HWICE1nefvtt7HY7\n",
       "I0aMICcnh+LiYlasWMG3336L2WzWv6CdTmdQoUpTAW0ulgAGazgJ109k0LsvYQhrv0F3Wxis4QhP\n",
       "y/uJQgi8e4sJn3Rz6H04XgLd0oLEMjAf1Wg0YrVag4YXqxrsPGaifw/fGcVSCMGmElheJLhmpMKo\n",
       "/i27/ZiMCndOhJWbBG99Kfi3q6BH/JlFs2dXjbJKOFztn6YS2OMMVPNavV6qq6txuVwYDIZgw//4\n",
       "3hgtERj2rfe3+vQeggiz6r2kEVYr5qzhkDUc4XEj7LYzrqW8vJwHH3yQKVOm8PDDD3eoa8/Ro0f5\n",
       "6quveOaZZ3j11Vc77LyS84eMMC8wmZmZeDwe4hobs3Nycnjrrbc6eVWXJm63myVLlvDkk09iMplI\n",
       "S0sjMzOTsWPHkpeXR1JjNWZrw5vPtx9uawhVpSjvLvr+xxPETc4Jed27bxvu5YuJnPGc3/QggL0W\n",
       "Zdu//BWyjQU/gQpgp8tFQnx8SMp5e7kJr08hu7e3VcF0efz+u8er4O5JCkmx7bv24gOCpesEt+Yq\n",
       "DGphhFdTAuYFzX1k9Wv2+aiurtZN5YNmi6oqRjQiTh3EdKoMX1QCnvgUwrr1brPqOIAQgm+//ZY/\n",
       "/vGPvPHGG/zkJz9p13Hnk9tvv53Zs2dTX1/Pyy+/LFOyFzcywuwMSkpKOnsJlw1FRUXMmDGDp59+\n",
       "mlmzZqGqKps2baKgoIBHH32UyspKBg0apE9k6dmzZ5CAqqqKy+U6L364Z6Js3gLMCXHETmrBQamh\n",
       "HtfSfxBx6/3BYqn6UPauRaQP08XS6/XicDhwud10iYkJEctDVUaqbAZyM1tPxZZX+lOwfXrAb25W\n",
       "sLRjXzLAsAyF+Bj4xzeCY1WCydlKq/Z4UeGC7N5eNh+ykN3bS0KzvVSzyURCfDy1tbW4G68nYGYQ\n",
       "+HzcPbOwx6ViqSkn7PhejGWbUbv3hbShZ4wUVVVl3rx5bN26la+//pr4+Ph2X+P5YtmyZXTr1o3s\n",
       "7Gzy8/M7/PyS84OMMCWXDDabjdLSUoYOHdri66qqUlxcTH5+Pt999x3Hjh1jwIABuoCmpqbqAvpD\n",
       "/XBbQgjB0fkfcnT+h4xY8W7IJA3hdmFf+CqmvoMJn/SzJi9oKLtXg9GE6HcFAr/xusfjwev1GxEE\n",
       "WkkCHK81sPOYuVXDACEEa3ZCfrHgphyFoX3O/YHA5vSLrsngLxI6075mVYPC5sMW+nbzkRYfOnos\n",
       "MC2moaEBi8VCVOO+ZqDqNyIiApPJ5P98nA0ItwuP2e9a1LTNKPDwUFlZyUMPPUReXh5PPfXUOc34\n",
       "PB/Mnj2bRYsWYTKZcLlc1NfXc9ttt/H+++93ynokbSKLfiSSpmiaxs6dO3UBPXz4MBkZGbobUUZG\n",
       "xnn1w63OX8/+373M0E9eJ7x38IxPraEex4dvYuyRSviNvzgd0Wqa30fW60YMGo8q0L1R3Y1ORV0b\n",
       "i50CHKs1sOuYmTHpHmIiQv8LO1yCTxvnhd51pUJczA+PnlXN7wq0pQSmTFDo27P197S7FbYcNmMx\n",
       "CgYn+7BaQteoaZo+Zg38EWhUdDSWFvaZm7tFffjhh8ybN48RI0awbds25syZw/3333/RTBkpKCiQ\n",
       "KdmLHymYkpZZvnw5jz/+OKqqMm3aNJ566qnOXlKnoGkae/fu1QX04MGD9O7dW/fD7d+/f5CAnq0f\n",
       "rhACze3BGB7cGK9WHMHx4X9iHj6WsCubWOL5vCh7VgMKIisXj6rhcrmwWCzYHY4WxfJQlZGSE6ZW\n",
       "xbK0QvDf+YIh6fDTUW1PJDlbSsoFn353+v1baz3RBBw8ZeTgKRO941T6JPpCjNlVVdUFUxN+03ij\n",
       "0UhCGylVn8/HX/7yFwoLC4mOjtarUvPy8vjwww9DfGs7moKCAl555RVZJXtxIwVTEoqqqvTv359V\n",
       "q1bRq1cvRo8ezUcffURWVqgl2eWGpmlBI8327dtHz5499RTuwIEDdUP5c/XDBdDqa1CPHcI8YPjp\n",
       "HzrqUHYVQpduaH1G4HS7UVWVsLAw6urrsZjNxDQZtiwE7KkwcaLOwJh0L9ZmaVhNE+QXw7rdgtvG\n",
       "KfRPuXBFTQ6Xv4joWBXckquQcYZo0+WFkhMmjtcZ6dlVJTVeJSpM87ebNM6uDFTTBu7zmdKqNpuN\n",
       "Rx55hNTUVF544QW9Yvjo0aNs2LCBn//85+f3YiWXKlIwJaGsXbuWP/zhDyxfvhw47XMb8L2VnEYI\n",
       "waFDh3Q7v127dpGYmKincIcOHYrJZPrBfriAf/6m142amKbb2xkMBurq64mMjCSyyagqrwpbD5vx\n",
       "aQojUz0hkVq9wx9VCgF3TFToEtkxbja7DwmWrhX0ToJrRyt0jTqzcB6qMnGk2ojFqJJgddEr3kBM\n",
       "hKHN3tEAu3btYubMmfz2t7/l1ltvla49kh+CrJKVhFJeXk5Kymlf0+TkZN1VRxKMoiikpaWRlpbG\n",
       "fffdhxCC8vJyCgoKWLRoEdu2baNr1666gA4fPhyr1RoSgbpcLuDMfrgirpe/0MVu1+3tauvq6Nql\n",
       "S5DXab1TYfMhMwnRGgN7eGkeyO476t+vHN0fJg1vvYr1QpCVqpDREwq2Cd74QjAyUzBuaOgoNoBw\n",
       "M/RNdNPD6qDeE0aNy8rGQ0YMimBiG4YLQgg+/vhj3n33XT744AP69u17Aa9KcjkjBfMyRz6FnzuK\n",
       "opCcnMw999zDPffcgxCCkydPUlBQwOLFi5k9ezaRkZF6H+ioUaOCBDQQfbrdfmPypuIZ+FlUVJSe\n",
       "zo3t2jXo/JoGWw6b6ZvkIzk2uE1D1QSrNgm27Ic7Jyr06dE5n7PFrHD1SIWfDBDkbxP8+Z+CoX0E\n",
       "VwwM7vf0eDx6CjYmxkIyPoTw4faFjP4MwuVy6XvuK1eu7PT9ScmljUzJXuasW7eO5557Tk/Jvvji\n",
       "ixgMhsu28Od8IoSgurpaN5TfuHEjFouFK664QjeUD1jYtWTn1zSF25qZgqYRElU63YL3/lcQEQZT\n",
       "xrfPvi5Abb2XHXsaKDlo58QpN263htlsICnRQlqKlWGDokmIO3fHI5tDsG63YONeiIuB4RnQt7sb\n",
       "i8mne9+2l9LSUh566CEeeOAB7r//fvnwJzmfyD1MSSg+n4/+/fvzzTff0LNnT8aMGSOLfi4QAQu7\n",
       "wsJCCgoK2LBhAwaDgdGjRzN27Fjy8/PZunUrS5YswWg0Bu2BBtnFteFGpAnBjlIYnE6rU0War2vT\n",
       "tnqWLD/Bjj0NZPWLYkBGJD2SwggPN+DxCE6cclNy0M623TZSeoZzzZWJXJkbR3jYufU1qppg9yGN\n",
       "LSUqByuM9IhX6NdLYVgGxEafec1CCL766itefvll/va3vzFs2LBzWoNEcgakYEpa5uuvv9bbSn71\n",
       "q1/xu9/9rrOXdFkghKChoYHPP/+c2bNnY7VaSUtLY/DgweTl5ZGTk6NXwjafCdqaH+7ZcqDMwX++\n",
       "e4h6m4/bb+rO+Jw4IsJbF0GfT2PTtnqWrTxJSamDX9zag+snJ2IynV2PY2DcWlhYGIrBTGmFwv5y\n",
       "wdAMhZTE1q/D5/Px/PPPU1ZWxoIFC+jSpctZnVciaSdSMCWSi43CwkJuu+02/v3f/50nnngCt9vN\n",
       "unXryM/PZ82aNbhcLrKzs8nLyyM3N5fY2Njz5oeraoLHf7+b6yYlcs2VCRjPsiCo5KCddz46yslK\n",
       "D49NS2XYoNARXM0RQuByufB6vWc9u7KiooJf//rX3HDDDTz66KMXjRGB5JJECqZEcrFRWVnJwYMH\n",
       "GTNmTIuvu1wuNmzYQEFBAYWFhdhsNoYPH05ubi65ubkkJiaG+OE2tfNryw9X08QPqpwVQrBuUy1v\n",
       "/NchxgzvyvR7U4i0thyhapqmuxRZm7TFtIfvv/+eZ599ltdee428vLxzXq9E0k6kYEokP3a8Xi9F\n",
       "RUW6gFZXVzN48GDdTKF79+7t8sM934bydoePt98/wrbdNp6a2YeszOBBzk1TsBaLpd3n1jSN119/\n",
       "ndWrV/Pee+/RrVu3tg+SSH44UjAllwZHjhxh6tSpnDx5EkVRePDBB3n00Uc7e1mdgs/nY8uWLRQU\n",
       "FPD9999TUVFBVlaWLqApKSkhAvpD/HDb4rt11bz5X4e4+5Ye3HJdEoA+u/JsU7A1NTXMmDGDYcOG\n",
       "MWfOnE4zTpdclkjBlFwaVFRUUFFRwfDhw2loaGDkyJF88cUXsrIXv9Xhjh07dD/co0ePkpmZqe+B\n",
       "pqen/yA/3PZw/ISLF14/SFysiZm/7I41wkhERMRZvd+WLVuYNWsWf/jDH7j22msveMuIfAiTNEMK\n",
       "puTS5JZbbuGRRx5h8uTJnb2Uiw5N09i9e7cuoGVlZaSlpemG8pmZmbqA/hA/3OY4nR7+/PdSdpe4\n",
       "eHF2P3r1aJ+hgKZpLFy4kMWLF7Nw4UJSU1PP9dLPCvkQJmmGFEzJpUdZWRkTJkxg586dREVFtX3A\n",
       "ZY6maezfv183lC8pKSElJUVP4WZlZbUqoNC2H65onCoSSMH+c9kpvlxxghdn9yc1+cyiabfbmTVr\n",
       "FnFxcbz88su66XpnIB/CLnukYEouLRoaGpg4cSLPPvsst9xyS2cv50eJEILS0lLdUH7Pnj0kJSXp\n",
       "KdwhQ4aETGRpbigfiEIB3anIarXqEenukgb6plsxn6FXc+/evcyYMYPHHnuMO+64o1Nde+RDmAQp\n",
       "mJJLCa/Xy4033sh1113H448/3tnLuWQQQnD06FE9hbtjxw7i4uJ0Q/lhw4ZhNptD/HB9Ph9CCAwG\n",
       "AxaLpUVD+dbO99lnnzF//nzeeeedTk+ByocwSSNSMCWXBkII7rvvPuLj43nttdc6ezmXNEIIKioq\n",
       "9Ah069atxMTE6Iby2dnZvPnmmxgMBmbMmIGiKHoUKoQI6gVtbqbg8Xh49tlnqaurY/78+Z0ezcmH\n",
       "MEkTpGBKLg0KCwsZP348Q4cO1b+AX3zxRa699tpOXtmljxCCqqoq8vPzWbFiBUuWLKFr167ceuut\n",
       "TJw4UTeUB0JSuJqm8f7772O32xkyZAhvvPEG99xzD9OnT+901x75ECZphhRMiURyfti4cSN33HEH\n",
       "N954I8888wzr1q3ju+++o6ioCJPJxJgxY/SJLAFXH03T+Oabb/jkk08oKCigtraWnJwcJkyYwOTJ\n",
       "kxk7dmynXY98CJM0QwqmRCI5P3z22WdomsaUKVOCfi6EwGazsXr1avLz81m3bh2APpFl7dq17N+/\n",
       "n3feeQdFUfTJLQ6Hg7feeqszLkUiaQkpmBKJpGMRQuBwOFi7di3//Oc/sdlsLFq0qNNTsBJJG0jB\n",
       "lEg6E1VVGTVqFMnJySxdurSzlyORSFqnRcGUj3kSSQfx+uuvM3DgwE7tMZRIJOeOFEyJpAM4evQo\n",
       "X331FdOmTaONrI5EIrlIkYIpkXQAs2bNYt68eXLvTiL5ESP/90okF5hly5bRrVs3srOzZXQpkfyI\n",
       "kYIpkVxg1qxZw5dffkl6ejp33303//rXv5g6dWpnL0sikZwlskpWIulACgoKePnll2WVrERycSOr\n",
       "ZCWSiwFZJSuR/DiREaZEIpFIJMHICFMikUgkknNFCqZEIrnoWb58OQMGDCAzM5OXXnqps5cjuUyR\n",
       "gimRSFqltraWKVOmkJWVxcCBA3Uz9Y5EVVVmzpzJ8uXL2bVrFx999BG7d+/u8HVIJFIwJRJJqzz2\n",
       "2GNcf/317N69m23btpGVldXha9iwYQN9+/YlLS0Ns9nMXXfdxZIlSzp8HRKJFEyJRNIidXV1fP/9\n",
       "9zzwwAMAmEwmunTp0uHrKC8vJyUlRf93cnIy5eXlHb4OiUQKpkQiaZHS0lISExP55S9/yYgRI5g+\n",
       "fToOh6PD1yHbcCQXC1IwJRJJi/h8PjZv3sxvfvMbNm/eTGRkJHPnzu3wdfTq1YsjR47o/z5y5AjJ\n",
       "yckdvg6JRAqmRCJpkeTkZJKTkxk9ejQAU6ZMYfPmzR2+jlGjRlFSUkJZWRkej4dPPvmEn/3sZx2+\n",
       "DolECqZEImmR7t27k5KSwr59+wBYtWoVgwYN6vB1mEwm3nzzTa655hoGDhzInXfe2SnFRxKJdPqR\n",
       "SCStUlxczLRp0/B4PGRkZPDuu+92SuGPRNLBtLhxLgVTIpFIJJJgWhRM07kcJJFIJBLJ5Ybcw5RI\n",
       "JBKJpB1IwZRIJBKJpB1IwZRIJBKJpB1IwZRIJBKJpB1IwZRIJBKJpB1IwZRIJBKJpB38fyQUCDmM\n",
       "IgVNAAAAAElFTkSuQmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0xdb84fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# contour plot with projections\n",
    "fig = plt.figure(figsize=(8,6))\n",
    "\n",
    "ax = fig.add_subplot(1,1,1, projection='3d')\n",
    "\n",
    "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n",
    "cset = ax.contour(X, Y, Z, zdir='z', offset=-pi, cmap=cm.coolwarm)\n",
    "cset = ax.contour(X, Y, Z, zdir='x', offset=-pi, cmap=cm.coolwarm)\n",
    "cset = ax.contour(X, Y, Z, zdir='y', offset=3*pi, cmap=cm.coolwarm)\n",
    "\n",
    "ax.set_xlim3d(-pi, 2*pi);\n",
    "ax.set_ylim3d(0, 3*pi);\n",
    "ax.set_zlim3d(-pi, 2*pi);"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
